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matemática"},{"term":"múltiplos"},{"term":"numeral misto"},{"term":"propriedades das operações"},{"term":"regras de divisibilidade"},{"term":"relações e regularidades"},{"term":"simetria axial"},{"term":"simplicação de frações"},{"term":"xadrez"},{"term":"8º ano"},{"term":"9º ano"},{"term":"Número capicua"},{"term":"Relação de Euler"},{"term":"altura"},{"term":"avaliação diagnóstica"},{"term":"circunferência"},{"term":"classificação de triângulos"},{"term":"classificação de ângulos"},{"term":"comparação de frações"},{"term":"cone"},{"term":"círculo"},{"term":"desafio matemático"},{"term":"divisores próprios"},{"term":"diâmetro"},{"term":"esfera"},{"term":"exames nacionais"},{"term":"expressões algébricas"},{"term":"fração própria"},{"term":"grau"},{"term":"inequação"},{"term":"lógica"},{"term":"mediana"},{"term":"média"},{"term":"método de estudo"},{"term":"módulo"},{"term":"numerais"},{"term":"número mágico"},{"term":"número pi"},{"term":"números ascendentes"},{"term":"números inteiros relativos"},{"term":"números naturais"},{"term":"números reais"},{"term":"números relativos"},{"term":"ordenação de frações"},{"term":"origami"},{"term":"pais"},{"term":"paradoxos matemáticos"},{"term":"perímetro"},{"term":"pirâmide"},{"term":"poliedros"},{"term":"poliedros convexos"},{"term":"polígonos"},{"term":"prisma"},{"term":"professores"},{"term":"propriedades dos triângulos"},{"term":"quadrado mágico"},{"term":"raiz quadrada"},{"term":"reflexão"},{"term":"rotação"},{"term":"simetria de rotação"},{"term":"sólidos platónicos"},{"term":"teorema de Pitágoras"},{"term":"translação"},{"term":"trapézio"},{"term":"valor absoluto"}],"title":{"type":"text","$t":"Estudar Matemática"},"subtitle":{"type":"html","$t":"Neste blog poderá encontrar métodos de estudo, testes e exercícios para Matemática, mas também curiosidades sobre esta ciência exata."},"link":[{"rel":"http://schemas.google.com/g/2005#feed","type":"application/atom+xml","href":"http:\/\/www.estudarmatematica.pt\/feeds\/posts\/default"},{"rel":"self","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/5376395271292297196\/posts\/default?alt=json-in-script\u0026orderby=published"},{"rel":"alternate","type":"text/html","href":"http:\/\/www.estudarmatematica.pt\/"},{"rel":"hub","href":"http://pubsubhubbub.appspot.com/"},{"rel":"next","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/5376395271292297196\/posts\/default?alt=json-in-script\u0026start-index=26\u0026max-results=25\u0026orderby=published"}],"author":[{"name":{"$t":"Filipe A"},"uri":{"$t":"http:\/\/www.blogger.com\/profile\/08129530978110568538"},"email":{"$t":"noreply@blogger.com"},"gd$image":{"rel":"http://schemas.google.com/g/2005#thumbnail","width":"16","height":"16","src":"https:\/\/img1.blogblog.com\/img\/b16-rounded.gif"}}],"generator":{"version":"7.00","uri":"http://www.blogger.com","$t":"Blogger"},"openSearch$totalResults":{"$t":"170"},"openSearch$startIndex":{"$t":"1"},"openSearch$itemsPerPage":{"$t":"25"},"entry":[{"id":{"$t":"tag:blogger.com,1999:blog-5376395271292297196.post-3006941622012960661"},"published":{"$t":"2019-04-23T17:14:00.000+01:00"},"updated":{"$t":"2019-04-23T17:15:57.744+01:00"},"category":[{"scheme":"http://www.blogger.com/atom/ns#","term":"classificação de triângulos"},{"scheme":"http://www.blogger.com/atom/ns#","term":"geometria"},{"scheme":"http://www.blogger.com/atom/ns#","term":"polígonos"},{"scheme":"http://www.blogger.com/atom/ns#","term":"propriedades dos triângulos"},{"scheme":"http://www.blogger.com/atom/ns#","term":"triângulos"}],"title":{"type":"text","$t":"Triângulos - classificação, propriedades e desigualdade triangular"},"content":{"type":"html","$t":"\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EUm triângulo é um polígono com três lados e três ângulos internos. Quando os três lados e os três ângulos são iguais, dizemos que o triângulo é regular, sendo chamado de equilátero.\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: justify;\"\u003E\u003Cspan style=\"font-size: large; margin-left: 1em; margin-right: 1em;\"\u003E\u003Cimg alt=\"triângulo\" border=\"0\" data-original-height=\"472\" data-original-width=\"938\" height=\"201\" src=\"https:\/\/2.bp.blogspot.com\/-b1DLQf333n0\/XL8l5z2qvxI\/AAAAAAAAEH8\/MD4tpGM6QI0ycCIgxm6gJcHkeq-RFI9OACLcBGAs\/s400\/tri%25C3%2582ngulo.png\" title=\"propriedades de um triângulo\" width=\"400\" \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003ENo triângulo [ABC] temos:\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E- os lados [AB], [BC] e [CA]\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E- três ângulos internos - ângulos ABC, BCA e CAB\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E- três ângulos externos, sendo que cada ângulo externo é suplementar ao ângulo interno adjacente (ou seja, a sua soma é 180º)\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E- a cada lado opõe-se um ângulo (exemplo: ao lado [AB] opõe-se o ângulo BCA)\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"color: blue; font-size: large;\"\u003E\u003Cb\u003E\u003Cu\u003EClassificação de triângulos\u003C\/u\u003E\u003C\/b\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EMediante as amplitudes dos seus ângulos internos ou o comprimento dos seus lados podemos classificar um triângulo de duas formas:\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003C\/div\u003E\u003Cul\u003E\u003Cli\u003E\u003Cspan style=\"font-size: large;\"\u003Eclassificação de triângulos quando à amplitude dos seus ângulos\u003C\/span\u003E\u003C\/li\u003E\u003C\/ul\u003E\u003Cbr \/\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Ca href=\"https:\/\/4.bp.blogspot.com\/-NUp107DSqoI\/XL8nEo1-pQI\/AAAAAAAAEII\/30TAaKnvHaYCeXRQMKnkHn7wHuKLoLvLQCLcBGAs\/s1600\/Capturar.PNG\" imageanchor=\"1\" style=\"margin-left: 1em; margin-right: 1em;\"\u003E\u003Cimg alt=\"\" border=\"0\" data-original-height=\"146\" data-original-width=\"664\" height=\"86\" src=\"https:\/\/4.bp.blogspot.com\/-NUp107DSqoI\/XL8nEo1-pQI\/AAAAAAAAEII\/30TAaKnvHaYCeXRQMKnkHn7wHuKLoLvLQCLcBGAs\/s400\/Capturar.PNG\" title=\"classificação de triângulos quando à amplitude dos seus ângulos\" width=\"400\" \/\u003E\u003C\/a\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003C\/div\u003E\u003Cul\u003E\u003Cli\u003E\u003Cspan style=\"font-size: large;\"\u003Eclassificação de triângulos quando ao comprimento dos seus lados\u003C\/span\u003E\u003C\/li\u003E\u003C\/ul\u003E\u003Cbr \/\u003E\u003Cdiv class=\"separator\" style=\"clear: both; font-size: x-large; text-align: center;\"\u003E\u003Ca href=\"https:\/\/2.bp.blogspot.com\/-j9UCph_FOI4\/XL8nPVB0zzI\/AAAAAAAAEIM\/ZXJpPAuUf9cKrNdHaG8eojZgQ4Z9D_MAgCLcBGAs\/s1600\/Sem%2BT%25C3%25ADtulo%2Blados.png\" imageanchor=\"1\" style=\"margin-left: 1em; margin-right: 1em;\"\u003E\u003Cimg alt=\"\" border=\"0\" data-original-height=\"155\" data-original-width=\"664\" height=\"92\" src=\"https:\/\/2.bp.blogspot.com\/-j9UCph_FOI4\/XL8nPVB0zzI\/AAAAAAAAEIM\/ZXJpPAuUf9cKrNdHaG8eojZgQ4Z9D_MAgCLcBGAs\/s400\/Sem%2BT%25C3%25ADtulo%2Blados.png\" title=\"classificação de triângulos quando à medida dos seus lados\" width=\"400\" \/\u003E\u003C\/a\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cu\u003Eexemplo:\u003C\/u\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EEste triângulo é retângulo e escaleno.\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Ca href=\"https:\/\/1.bp.blogspot.com\/-ayi5xztelk8\/XL8n6dp5mfI\/AAAAAAAAEIY\/SMFlybaJxVUJSDLu_uW2--eCl4TYRZOqgCLcBGAs\/s1600\/Sem%2BT%25C3%25ADtulo.png\" imageanchor=\"1\" style=\"margin-left: 1em; margin-right: 1em; text-align: center;\"\u003E\u003Cimg alt=\"\" border=\"0\" data-original-height=\"272\" data-original-width=\"466\" height=\"185\" src=\"https:\/\/1.bp.blogspot.com\/-ayi5xztelk8\/XL8n6dp5mfI\/AAAAAAAAEIY\/SMFlybaJxVUJSDLu_uW2--eCl4TYRZOqgCLcBGAs\/s320\/Sem%2BT%25C3%25ADtulo.png\" title=\"triângulo retângulo e escaleno\" width=\"320\" \/\u003E\u003C\/a\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"color: blue; font-size: large;\"\u003E\u003Cb\u003E\u003Cu\u003EPropriedades dos triângulos\u003C\/u\u003E\u003C\/b\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003C\/div\u003E\u003Cul\u003E\u003Cli\u003E\u003Cspan style=\"font-size: large;\"\u003EPropriedade 1 - a lados iguais opõem-se lados iguais, e a ângulos iguais opõem-se lados iguais.\u003C\/span\u003E\u003C\/li\u003E\u003C\/ul\u003E\u003Cbr \/\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003C\/div\u003E\u003Cul\u003E\u003Cli\u003E\u003Cspan style=\"font-size: large;\"\u003EPropriedade 2 - Ao maior lado opõe-se o maior ângulo e vice-versa. E ao menor lado opõe-se o menor ângulo e vice-versa.\u003C\/span\u003E\u003C\/li\u003E\u003C\/ul\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Ca href=\"https:\/\/4.bp.blogspot.com\/-2OFvABYdIqw\/XL8pXyigWQI\/AAAAAAAAEIk\/s9eDP4P97dM848CQSeIrLoRAtdAjOkn7gCLcBGAs\/s1600\/Sem%2BT%25C3%25ADtulo.png\" imageanchor=\"1\" style=\"margin-left: 1em; margin-right: 1em;\"\u003E\u003Cimg alt=\"\" border=\"0\" data-original-height=\"272\" data-original-width=\"466\" height=\"232\" src=\"https:\/\/4.bp.blogspot.com\/-2OFvABYdIqw\/XL8pXyigWQI\/AAAAAAAAEIk\/s9eDP4P97dM848CQSeIrLoRAtdAjOkn7gCLcBGAs\/s400\/Sem%2BT%25C3%25ADtulo.png\" title=\"propriedades dos triângulos\" width=\"400\" \/\u003E\u003C\/a\u003E\u003C\/div\u003E\u003Cdiv\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv\u003E\u003Cul\u003E\u003Cli\u003E\u003Cspan style=\"font-size: large;\"\u003EPropriedade 3 - A soma dos ângulos internos de um triângulo é sempre igual a um ângulo raso (180º).\u0026nbsp;\u003C\/span\u003EPara verificares esta propriedade podes fazer a seguinte tarefa em casa, experimentando com vários triângulos diferentes.\u003C\/li\u003E\u003C\/ul\u003E\u003C\/div\u003E\u003Cdiv\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Ca href=\"https:\/\/2.bp.blogspot.com\/-NkBExQncLa0\/XL8qaMFjJAI\/AAAAAAAAEIw\/GJDkaj5G8UIT_vk_1bvDEhJ89jARw0oSwCLcBGAs\/s1600\/image.png\" imageanchor=\"1\" style=\"margin-left: 1em; margin-right: 1em;\"\u003E\u003Cimg alt=\"\" border=\"0\" data-original-height=\"598\" data-original-width=\"397\" height=\"320\" src=\"https:\/\/2.bp.blogspot.com\/-NkBExQncLa0\/XL8qaMFjJAI\/AAAAAAAAEIw\/GJDkaj5G8UIT_vk_1bvDEhJ89jARw0oSwCLcBGAs\/s320\/image.png\" title=\"atividade soma dos ângulos internos de um triângulo\" width=\"212\" \/\u003E\u003C\/a\u003E\u003C\/div\u003E\u003Cdiv\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv\u003E\u003Cspan style=\"font-size: large;\"\u003Eexemplo: calcula a amplitude do ângulo f.\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Ca href=\"https:\/\/4.bp.blogspot.com\/-Y9GRk-ZPgjo\/XL8sr7oypUI\/AAAAAAAAEJI\/IwMl-eWCqtsD0bJQYI9sWtv9nPVMiq6pQCLcBGAs\/s1600\/Sem%2BT%25C3%25ADtulo.png\" imageanchor=\"1\" style=\"margin-left: 1em; margin-right: 1em;\"\u003E\u003Cimg border=\"0\" data-original-height=\"554\" data-original-width=\"526\" height=\"400\" src=\"https:\/\/4.bp.blogspot.com\/-Y9GRk-ZPgjo\/XL8sr7oypUI\/AAAAAAAAEJI\/IwMl-eWCqtsD0bJQYI9sWtv9nPVMiq6pQCLcBGAs\/s400\/Sem%2BT%25C3%25ADtulo.png\" width=\"378\" \/\u003E\u003C\/a\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003C\/div\u003E\u003Cdiv\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003C\/div\u003E\u003Cdiv\u003E\u003Cbr \/\u003E\u003Cul\u003E\u003Cli style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EPropriedade 4 - Num triângulo acutângulo todos os ângulos são agudos. Nos triângulos obtusângulo ou retângulo, dois dos ângulos internos são agudos.\u003C\/span\u003E\u003C\/li\u003E\u003C\/ul\u003E\u003C\/div\u003E\u003Cdiv\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003C\/div\u003E\u003Cdiv\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003C\/div\u003E\u003Cul\u003E\u003Cli\u003E\u003Cspan style=\"font-size: large;\"\u003EPropriedade 5 - Um ângulo externo é igual à soma dos dois ângulos não adjacentes.\u003C\/span\u003E\u003C\/li\u003E\u003C\/ul\u003E\u003C\/div\u003E\u003Cdiv\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003Eexemplo:\u0026nbsp;\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Ca href=\"https:\/\/2.bp.blogspot.com\/-8nXDESLNWso\/XL80vQZeLnI\/AAAAAAAAEJU\/RvTrplyFa_UujnN4TxPsRxJo8QmC85VggCLcBGAs\/s1600\/Sem%2BT%25C3%25ADtulo.png\" imageanchor=\"1\" style=\"margin-left: 1em; margin-right: 1em;\"\u003E\u003Cimg alt=\"\" border=\"0\" data-original-height=\"199\" data-original-width=\"424\" height=\"150\" src=\"https:\/\/2.bp.blogspot.com\/-8nXDESLNWso\/XL80vQZeLnI\/AAAAAAAAEJU\/RvTrplyFa_UujnN4TxPsRxJo8QmC85VggCLcBGAs\/s320\/Sem%2BT%25C3%25ADtulo.png\" title=\"ângulo externo triângulo\" width=\"320\" \/\u003E\u003C\/a\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Cspan style=\"font-size: large;\"\u003Eâ = 90 + 60 = 150º\u0026nbsp;\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: justify;\"\u003E\u003C\/div\u003E\u003Cul\u003E\u003Cli\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: justify;\"\u003EPropriedade 6 - A soma dos ângulos externos de um triângulo é igual a um ângulo giro (360º).\u003C\/div\u003E\u003C\/span\u003E\u003C\/span\u003E\u003C\/li\u003E\u003C\/ul\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003Eexemplo:\u003C\/span\u003E\u003C\/div\u003E\u003Cbr \/\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Ca href=\"https:\/\/1.bp.blogspot.com\/-KMXr7I6B1Zg\/XL82TuUmopI\/AAAAAAAAEJg\/2NcjsU3HIQIcD2vKrX2WDKT5PQbeZ85KwCLcBGAs\/s1600\/Sem%2BT%25C3%25ADtulo.png\" imageanchor=\"1\" style=\"margin-left: 1em; margin-right: 1em;\"\u003E\u003Cimg alt=\"\" border=\"0\" data-original-height=\"490\" data-original-width=\"466\" height=\"400\" src=\"https:\/\/1.bp.blogspot.com\/-KMXr7I6B1Zg\/XL82TuUmopI\/AAAAAAAAEJg\/2NcjsU3HIQIcD2vKrX2WDKT5PQbeZ85KwCLcBGAs\/s400\/Sem%2BT%25C3%25ADtulo.png\" title=\"soma dos ângulos externos de um triângulo\" width=\"380\" \/\u003E\u003C\/a\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: justify;\"\u003E\u003Cspan style=\"color: blue; font-size: large;\"\u003E\u003Cb\u003E\u003Cu\u003EDesigualdade triangular\u003C\/u\u003E\u003C\/b\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EA desigualdade triangular diz que para se poder construir um triângulo, a medida de cada lado tem de ser sempre menor que a soma dos outros dois.\u003C\/span\u003E\u003C\/div\u003E\u003C\/div\u003E\u003Cdiv\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Ca href=\"https:\/\/4.bp.blogspot.com\/-HJZXjgrzv8A\/XL84S9YhmGI\/AAAAAAAAEJ0\/vf_NtH52ScYlaNn2qxbmw1JFTBy5pdhuACLcBGAs\/s1600\/Sem%2BT%25C3%25ADtulo.png\" imageanchor=\"1\" style=\"margin-left: 1em; margin-right: 1em;\"\u003E\u003Cimg alt=\"\" border=\"0\" data-original-height=\"357\" data-original-width=\"433\" height=\"328\" src=\"https:\/\/4.bp.blogspot.com\/-HJZXjgrzv8A\/XL84S9YhmGI\/AAAAAAAAEJ0\/vf_NtH52ScYlaNn2qxbmw1JFTBy5pdhuACLcBGAs\/s400\/Sem%2BT%25C3%25ADtulo.png\" title=\"desigualdade triangular\" width=\"400\" \/\u003E\u003C\/a\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003ESe as três afirmações são verdadeiras, então é possível construir-se o triângulo com as medidas dadas. Caso uma das afirmações fosse falsa, ou seja, a medida de um dos lados fosse maior que a soma dos outros dois, então esse triângulo não poderia ser construído.\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003C\/div\u003E\u003Cdiv\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003C\/div\u003E\u003Cdiv\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003C\/div\u003E"},"link":[{"rel":"replies","type":"application/atom+xml","href":"http:\/\/www.estudarmatematica.pt\/feeds\/3006941622012960661\/comments\/default","title":"Enviar comentários"},{"rel":"replies","type":"text/html","href":"http:\/\/www.estudarmatematica.pt\/2019\/04\/triangulos-classificacao-propriedades-e.html#comment-form","title":"0 Comentários"},{"rel":"edit","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/5376395271292297196\/posts\/default\/3006941622012960661"},{"rel":"self","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/5376395271292297196\/posts\/default\/3006941622012960661"},{"rel":"alternate","type":"text/html","href":"http:\/\/www.estudarmatematica.pt\/2019\/04\/triangulos-classificacao-propriedades-e.html","title":"Triângulos - classificação, propriedades e desigualdade triangular"}],"author":[{"name":{"$t":"Filipe A"},"uri":{"$t":"http:\/\/www.blogger.com\/profile\/08129530978110568538"},"email":{"$t":"noreply@blogger.com"},"gd$image":{"rel":"http://schemas.google.com/g/2005#thumbnail","width":"16","height":"16","src":"https:\/\/img1.blogblog.com\/img\/b16-rounded.gif"}}],"media$thumbnail":{"xmlns$media":"http://search.yahoo.com/mrss/","url":"https:\/\/2.bp.blogspot.com\/-b1DLQf333n0\/XL8l5z2qvxI\/AAAAAAAAEH8\/MD4tpGM6QI0ycCIgxm6gJcHkeq-RFI9OACLcBGAs\/s72-c\/tri%25C3%2582ngulo.png","height":"72","width":"72"},"thr$total":{"$t":"0"}},{"id":{"$t":"tag:blogger.com,1999:blog-5376395271292297196.post-3378649511156656744"},"published":{"$t":"2018-10-09T12:45:00.002+01:00"},"updated":{"$t":"2018-10-09T12:45:26.888+01:00"},"category":[{"scheme":"http://www.blogger.com/atom/ns#","term":"expressões numéricas"},{"scheme":"http://www.blogger.com/atom/ns#","term":"números racionais"},{"scheme":"http://www.blogger.com/atom/ns#","term":"potências"}],"title":{"type":"text","$t":"Como calcular o produto de potências, potências de potências e quociente de potências"},"content":{"type":"html","$t":"\u003Cbr \/\u003E\u003Cdiv class=\"MsoNormal\" style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv class=\"MsoNormal\" style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003ENo cálculo de expressões numéricas há “truques matemáticos” que te facilitam a vida. De seguida podes aprender como escrever, de uma forma simples, sob a forma de uma potência, o produto de potências, o quociente de potências e potências de potências.\u003Co:p\u003E\u003C\/o:p\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv class=\"MsoNormal\" style=\"text-align: justify;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Ca href=\"https:\/\/2.bp.blogspot.com\/-nTQI4yL7fpc\/W7yUrzuxAzI\/AAAAAAAAEFQ\/c5thANdOlkA0nduyCLTsYe_6q7OzKu18ACLcBGAs\/s1600\/Capturar.PNG\" imageanchor=\"1\" style=\"margin-left: 1em; margin-right: 1em;\"\u003E\u003Cimg border=\"0\" data-original-height=\"173\" data-original-width=\"147\" src=\"https:\/\/2.bp.blogspot.com\/-nTQI4yL7fpc\/W7yUrzuxAzI\/AAAAAAAAEFQ\/c5thANdOlkA0nduyCLTsYe_6q7OzKu18ACLcBGAs\/s1600\/Capturar.PNG\" \/\u003E\u003C\/a\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cbr \/\u003E\u003Cdiv class=\"MsoNormal\" style=\"text-align: justify;\"\u003E\u003Co:p\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/o:p\u003E\u003C\/div\u003E\u003Cdiv class=\"MsoNormal\" style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cb\u003EProduto de potências\u003C\/b\u003E\u003Co:p\u003E\u003C\/o:p\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv class=\"MsoNormal\" style=\"text-align: justify;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv class=\"MsoNormal\" style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E- \u003Cu\u003EProduto de potências com a mesma base\u003C\/u\u003E\u003Co:p\u003E\u003C\/o:p\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv class=\"MsoNormal\" style=\"text-align: justify;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv class=\"MsoNormal\" style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EPara escrever um produto de potências com a mesma base sob a forma de uma potência, mantemos a base e somamos os expoentes.\u003Co:p\u003E\u003C\/o:p\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv class=\"MsoNormal\" style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003Eex:\u003C\/span\u003E\u003Cspan style=\"font-size: large;\"\u003E\u0026nbsp;\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Ca href=\"https:\/\/4.bp.blogspot.com\/-z0M7JPmg_nw\/W7ySzpj1I7I\/AAAAAAAAEEs\/W_IPXqvzj0AjfyRfbLypsj3ehadurL_fwCLcBGAs\/s1600\/produto%2Bpot%25C3%25AAncias%2Bmesma%2Bbase.PNG\" imageanchor=\"1\" style=\"margin-left: 1em; margin-right: 1em;\"\u003E\u003Cimg border=\"0\" data-original-height=\"58\" data-original-width=\"221\" src=\"https:\/\/4.bp.blogspot.com\/-z0M7JPmg_nw\/W7ySzpj1I7I\/AAAAAAAAEEs\/W_IPXqvzj0AjfyRfbLypsj3ehadurL_fwCLcBGAs\/s1600\/produto%2Bpot%25C3%25AAncias%2Bmesma%2Bbase.PNG\" \/\u003E\u003C\/a\u003E\u003C\/div\u003E\u003Cdiv class=\"MsoNormal\" style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cspan style=\"mso-spacerun: yes;\"\u003E\u0026nbsp; \u0026nbsp;\u0026nbsp;\u003C\/span\u003E\u003C\/span\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cspan style=\"mso-spacerun: yes;\"\u003E\u003C\/span\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv class=\"MsoNormal\" style=\"text-align: justify;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv class=\"MsoNormal\" style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E- \u003Cu\u003EProduto de potências com o mesmo expoente\u003C\/u\u003E\u003Co:p\u003E\u003C\/o:p\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv class=\"MsoNormal\" style=\"text-align: justify;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv class=\"MsoNormal\" style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EPara escrever um produto de potências com o mesmo expoente sob a forma de uma potência, mantemos o expoente e multiplicamos as bases.\u003Co:p\u003E\u003C\/o:p\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv class=\"MsoNormal\" style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003Eex:\u003C\/span\u003E\u003Cspan style=\"font-size: large;\"\u003E\u0026nbsp; \u0026nbsp; \u0026nbsp;\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Ca href=\"https:\/\/4.bp.blogspot.com\/-FZnMJNSRtes\/W7ySzqQMtpI\/AAAAAAAAEEo\/zLs-C-uNdqgoJ7gqZ_voTag63Y3o2PNqwCEwYBhgL\/s1600\/produto%2Bpot%25C3%25AAncias%2Bmesma%2Bexpoente.PNG\" imageanchor=\"1\" style=\"margin-left: 1em; margin-right: 1em;\"\u003E\u003Cimg border=\"0\" data-original-height=\"74\" data-original-width=\"266\" src=\"https:\/\/4.bp.blogspot.com\/-FZnMJNSRtes\/W7ySzqQMtpI\/AAAAAAAAEEo\/zLs-C-uNdqgoJ7gqZ_voTag63Y3o2PNqwCEwYBhgL\/s1600\/produto%2Bpot%25C3%25AAncias%2Bmesma%2Bexpoente.PNG\" \/\u003E\u003C\/a\u003E\u003C\/div\u003E\u003Cbr \/\u003E  \u003Cdiv class=\"MsoNormal\" style=\"text-align: justify;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv class=\"MsoNormal\" style=\"text-align: justify;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv class=\"MsoNormal\" style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cb\u003EPotência de potência\u003C\/b\u003E\u003Co:p\u003E\u003C\/o:p\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv class=\"MsoNormal\" style=\"text-align: justify;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv class=\"MsoNormal\" style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EPara escrever uma potência de potência sob a forma de uma potência, mantemos a base e multiplicamos os expoentes.\u003Co:p\u003E\u003C\/o:p\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv class=\"MsoNormal\" style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003Eex:\u003C\/span\u003E\u003Cspan style=\"font-size: large;\"\u003E\u0026nbsp;\u0026nbsp;\u0026nbsp; \u003C\/span\u003E\u003Cspan style=\"font-family: Calibri, sans-serif; font-size: large; line-height: 115%; position: relative; top: 4.5pt;\"\u003E\u003C\/span\u003E\u003Cspan style=\"font-size: large;\"\u003E\u0026nbsp;\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Ca href=\"https:\/\/3.bp.blogspot.com\/-lu42WTC5tTU\/W7ySzn6613I\/AAAAAAAAEFI\/xdOO1okDuQEKDcHajonjbIzgBZ9nevhtACEwYBhgL\/s1600\/pot%25C3%25AAncia%2Bde%2Bpot%25C3%25AAncias.PNG\" imageanchor=\"1\" style=\"font-size: x-large; margin-left: 1em; margin-right: 1em; text-align: center;\"\u003E\u003Cimg border=\"0\" data-original-height=\"55\" data-original-width=\"197\" src=\"https:\/\/3.bp.blogspot.com\/-lu42WTC5tTU\/W7ySzn6613I\/AAAAAAAAEFI\/xdOO1okDuQEKDcHajonjbIzgBZ9nevhtACEwYBhgL\/s1600\/pot%25C3%25AAncia%2Bde%2Bpot%25C3%25AAncias.PNG\" \/\u003E\u003C\/a\u003E\u003C\/div\u003E\u003Cdiv class=\"MsoNormal\" style=\"text-align: justify;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv class=\"MsoNormal\" style=\"text-align: justify;\"\u003E\u003Cspan style=\"mso-fareast-font-family: \u0026quot;Times New Roman\u0026quot;; mso-fareast-theme-font: minor-fareast;\"\u003E\u003Co:p\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/o:p\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv class=\"MsoNormal\" style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cb\u003EQuociente de potências\u003C\/b\u003E\u003Co:p\u003E\u003C\/o:p\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv class=\"MsoNormal\" style=\"text-align: justify;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv class=\"MsoNormal\" style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E- \u003Cu\u003EQuociente de potências com a mesma base\u003C\/u\u003E\u003Co:p\u003E\u003C\/o:p\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv class=\"MsoNormal\" style=\"text-align: justify;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv class=\"MsoNormal\" style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EPara escrever um quociente de potências com a mesma base sob a forma de uma potência, mantemos a base e subtraímos os expoentes.\u003Co:p\u003E\u003C\/o:p\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv class=\"MsoNormal\" style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003Eex:\u003C\/span\u003E\u003Cspan style=\"font-size: large;\"\u003E\u0026nbsp; \u0026nbsp;\u0026nbsp;\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Ca href=\"https:\/\/1.bp.blogspot.com\/-mtgBynvGbaA\/W7yS0JtPcUI\/AAAAAAAAEFE\/U6TgXBEES1s7WXyYp83RMlnuaaYrVeXxACEwYBhgL\/s1600\/quociente%2Bpot%25C3%25AAncias%2Bmesma%2Bbase.PNG\" imageanchor=\"1\" style=\"margin-left: 1em; margin-right: 1em;\"\u003E\u003Cimg border=\"0\" data-original-height=\"58\" data-original-width=\"227\" src=\"https:\/\/1.bp.blogspot.com\/-mtgBynvGbaA\/W7yS0JtPcUI\/AAAAAAAAEFE\/U6TgXBEES1s7WXyYp83RMlnuaaYrVeXxACEwYBhgL\/s1600\/quociente%2Bpot%25C3%25AAncias%2Bmesma%2Bbase.PNG\" \/\u003E\u003C\/a\u003E\u003C\/div\u003E\u003Cdiv class=\"MsoNormal\" style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv class=\"MsoNormal\" style=\"text-align: justify;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv class=\"MsoNormal\" style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E- \u003Cu\u003EQuociente de potências com o mesmo expoente\u003C\/u\u003E\u003Co:p\u003E\u003C\/o:p\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv class=\"MsoNormal\" style=\"text-align: justify;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv class=\"MsoNormal\" style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EPara escrever um quociente de potências com o mesmo expoente sob a forma de uma potência, mantemos o expoente e dividimos as bases.\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv class=\"MsoNormal\" style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003Eex:\u003Cspan style=\"mso-spacerun: yes;\"\u003E\u0026nbsp;\u0026nbsp;\u0026nbsp;\u0026nbsp;\u003C\/span\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Ca href=\"https:\/\/1.bp.blogspot.com\/-zygq62J2bIM\/W7yS0c-UfRI\/AAAAAAAAEFI\/gkfUv82Ve0cki5z-k1hJ6Dq7OmSBgVDzACEwYBhgL\/s1600\/quociente%2Bpot%25C3%25AAncias%2Bmesma%2Bexpoente.PNG\" imageanchor=\"1\" style=\"margin-left: 1em; margin-right: 1em;\"\u003E\u003Cimg border=\"0\" data-original-height=\"55\" data-original-width=\"264\" src=\"https:\/\/1.bp.blogspot.com\/-zygq62J2bIM\/W7yS0c-UfRI\/AAAAAAAAEFI\/gkfUv82Ve0cki5z-k1hJ6Dq7OmSBgVDzACEwYBhgL\/s1600\/quociente%2Bpot%25C3%25AAncias%2Bmesma%2Bexpoente.PNG\" \/\u003E\u003C\/a\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cspan style=\"font-size: large;\"\u003E \u003C!--[if gte msEquation 12]\u003E\u003Cm:oMath\u003E\u003Cm:sSup\u003E\u003Cm:sSupPr\u003E\u003Cspan    style='font-family:\"Cambria Math\",\"serif\";mso-ascii-font-family:\"Cambria Math\";    mso-hansi-font-family:\"Cambria Math\";font-style:italic;mso-bidi-font-style:    normal'\u003E\u003Cm:ctrlPr\u003E\u003C\/m:ctrlPr\u003E\u003C\/span\u003E\u003C\/m:sSupPr\u003E\u003Cm:e\u003E\u003Ci style='mso-bidi-font-style:    normal'\u003E\u003Cspan style='font-family:\"Cambria Math\",\"serif\"'\u003E\u003Cm:r\u003E7\u003C\/m:r\u003E\u003C\/span\u003E\u003C\/i\u003E\u003C\/m:e\u003E\u003Cm:sup\u003E\u003Ci    style='mso-bidi-font-style:normal'\u003E\u003Cspan style='font-family:\"Cambria Math\",\"serif\"'\u003E\u003Cm:r\u003E3\u003C\/m:r\u003E\u003C\/span\u003E\u003C\/i\u003E\u003C\/m:sup\u003E\u003C\/m:sSup\u003E\u003Ci  style='mso-bidi-font-style:normal'\u003E\u003Cspan style='font-family:\"Cambria Math\",\"serif\"'\u003E\u003Cm:r\u003E\u00F7\u003C\/m:r\u003E\u003C\/span\u003E\u003C\/i\u003E\u003Cm:sSup\u003E\u003Cm:sSupPr\u003E\u003Cspan    style='font-family:\"Cambria Math\",\"serif\";mso-ascii-font-family:\"Cambria Math\";    mso-hansi-font-family:\"Cambria Math\";font-style:italic;mso-bidi-font-style:    normal'\u003E\u003Cm:ctrlPr\u003E\u003C\/m:ctrlPr\u003E\u003C\/span\u003E\u003C\/m:sSupPr\u003E\u003Cm:e\u003E\u003Ci style='mso-bidi-font-style:    normal'\u003E\u003Cspan style='font-family:\"Cambria Math\",\"serif\"'\u003E\u003Cm:r\u003E5\u003C\/m:r\u003E\u003C\/span\u003E\u003C\/i\u003E\u003C\/m:e\u003E\u003Cm:sup\u003E\u003Ci    style='mso-bidi-font-style:normal'\u003E\u003Cspan style='font-family:\"Cambria Math\",\"serif\"'\u003E\u003Cm:r\u003E3\u003C\/m:r\u003E\u003C\/span\u003E\u003C\/i\u003E\u003C\/m:sup\u003E\u003C\/m:sSup\u003E\u003Ci  style='mso-bidi-font-style:normal'\u003E\u003Cspan style='font-family:\"Cambria Math\",\"serif\"'\u003E\u003Cm:r\u003E=\u003C\/m:r\u003E\u003C\/span\u003E\u003C\/i\u003E\u003Cm:sSup\u003E\u003Cm:sSupPr\u003E\u003Cspan    style='font-family:\"Cambria Math\",\"serif\";mso-ascii-font-family:\"Cambria Math\";    mso-hansi-font-family:\"Cambria Math\";font-style:italic;mso-bidi-font-style:    normal'\u003E\u003Cm:ctrlPr\u003E\u003C\/m:ctrlPr\u003E\u003C\/span\u003E\u003C\/m:sSupPr\u003E\u003Cm:e\u003E\u003Ci style='mso-bidi-font-style:    normal'\u003E\u003Cspan style='font-family:\"Cambria Math\",\"serif\"'\u003E\u003Cm:r\u003E(7\u00F75)\u003C\/m:r\u003E\u003C\/span\u003E\u003C\/i\u003E\u003C\/m:e\u003E\u003Cm:sup\u003E\u003Ci    style='mso-bidi-font-style:normal'\u003E\u003Cspan style='font-family:\"Cambria Math\",\"serif\"'\u003E\u003Cm:r\u003E3\u003C\/m:r\u003E\u003C\/span\u003E\u003C\/i\u003E\u003C\/m:sup\u003E\u003C\/m:sSup\u003E\u003Ci  style='mso-bidi-font-style:normal'\u003E\u003Cspan style='font-family:\"Cambria Math\",\"serif\"'\u003E\u003Cm:r\u003E=\u003C\/m:r\u003E\u003C\/span\u003E\u003C\/i\u003E\u003Cm:sSup\u003E\u003Cm:sSupPr\u003E\u003Cspan    style='font-family:\"Cambria Math\",\"serif\";mso-ascii-font-family:\"Cambria Math\";    mso-hansi-font-family:\"Cambria Math\";font-style:italic;mso-bidi-font-style:    normal'\u003E\u003Cm:ctrlPr\u003E\u003C\/m:ctrlPr\u003E\u003C\/span\u003E\u003C\/m:sSupPr\u003E\u003Cm:e\u003E\u003Cm:d\u003E\u003Cm:dPr\u003E\u003Cspan      style='font-family:\"Cambria Math\",\"serif\";mso-ascii-font-family:\"Cambria Math\";      mso-hansi-font-family:\"Cambria Math\";font-style:italic;mso-bidi-font-style:      normal'\u003E\u003Cm:ctrlPr\u003E\u003C\/m:ctrlPr\u003E\u003C\/span\u003E\u003C\/m:dPr\u003E\u003Cm:e\u003E\u003Cm:f\u003E\u003Cm:fPr\u003E\u003Cspan        style='font-family:\"Cambria Math\",\"serif\";mso-ascii-font-family:\"Cambria Math\";        mso-hansi-font-family:\"Cambria Math\";font-style:italic;mso-bidi-font-style:        normal'\u003E\u003Cm:ctrlPr\u003E\u003C\/m:ctrlPr\u003E\u003C\/span\u003E\u003C\/m:fPr\u003E\u003Cm:num\u003E\u003Ci style='mso-bidi-font-style:        normal'\u003E\u003Cspan style='font-family:\"Cambria Math\",\"serif\"'\u003E\u003Cm:r\u003E7\u003C\/m:r\u003E\u003C\/span\u003E\u003C\/i\u003E\u003C\/m:num\u003E\u003Cm:den\u003E\u003Ci        style='mso-bidi-font-style:normal'\u003E\u003Cspan style='font-family:\"Cambria Math\",\"serif\"'\u003E\u003Cm:r\u003E5\u003C\/m:r\u003E\u003C\/span\u003E\u003C\/i\u003E\u003C\/m:den\u003E\u003C\/m:f\u003E\u003C\/m:e\u003E\u003C\/m:d\u003E\u003C\/m:e\u003E\u003Cm:sup\u003E\u003Ci    style='mso-bidi-font-style:normal'\u003E\u003Cspan style='font-family:\"Cambria Math\",\"serif\"'\u003E\u003Cm:r\u003E3\u003C\/m:r\u003E\u003C\/span\u003E\u003C\/i\u003E\u003C\/m:sup\u003E\u003C\/m:sSup\u003E\u003C\/m:oMath\u003E\u003C![endif]--\u003E\u003C!--[if !msEquation]--\u003E\u003Cspan style=\"font-family: Calibri, sans-serif; line-height: 115%; position: relative; top: 8.5pt;\"\u003E\u003C!--[if gte vml 1]\u003E\u003Cv:shape  id=\"_x0000_i1025\" type=\"#_x0000_t75\" style='width:123.75pt;height:24pt'\u003E \u003Cv:imagedata src=\"file:\/\/\/C:\\Users\\user\\AppData\\Local\\Temp\\msohtmlclip1\\01\\clip_image009.png\"   o:title=\"\" chromakey=\"white\"\/\u003E\u003C\/v:shape\u003E\u003C![endif]--\u003E\u003C!--[if !vml]--\u003E\u003C!--[endif]--\u003E\u003C\/span\u003E\u003C!--[endif]--\u003E\u003Co:p\u003E\u003C\/o:p\u003E\u003C\/span\u003E\u003Cbr \/\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E"},"link":[{"rel":"replies","type":"application/atom+xml","href":"http:\/\/www.estudarmatematica.pt\/feeds\/3378649511156656744\/comments\/default","title":"Enviar comentários"},{"rel":"replies","type":"text/html","href":"http:\/\/www.estudarmatematica.pt\/2018\/10\/como-calcular-o-produto-de-potencias.html#comment-form","title":"0 Comentários"},{"rel":"edit","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/5376395271292297196\/posts\/default\/3378649511156656744"},{"rel":"self","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/5376395271292297196\/posts\/default\/3378649511156656744"},{"rel":"alternate","type":"text/html","href":"http:\/\/www.estudarmatematica.pt\/2018\/10\/como-calcular-o-produto-de-potencias.html","title":"Como calcular o produto de potências, potências de potências e quociente de potências"}],"author":[{"name":{"$t":"Filipe A"},"uri":{"$t":"http:\/\/www.blogger.com\/profile\/08129530978110568538"},"email":{"$t":"noreply@blogger.com"},"gd$image":{"rel":"http://schemas.google.com/g/2005#thumbnail","width":"16","height":"16","src":"https:\/\/img1.blogblog.com\/img\/b16-rounded.gif"}}],"media$thumbnail":{"xmlns$media":"http://search.yahoo.com/mrss/","url":"https:\/\/2.bp.blogspot.com\/-nTQI4yL7fpc\/W7yUrzuxAzI\/AAAAAAAAEFQ\/c5thANdOlkA0nduyCLTsYe_6q7OzKu18ACLcBGAs\/s72-c\/Capturar.PNG","height":"72","width":"72"},"thr$total":{"$t":"0"}},{"id":{"$t":"tag:blogger.com,1999:blog-5376395271292297196.post-7905519384981291429"},"published":{"$t":"2018-10-04T10:09:00.002+01:00"},"updated":{"$t":"2018-10-04T10:09:46.453+01:00"},"category":[{"scheme":"http://www.blogger.com/atom/ns#","term":"adição"},{"scheme":"http://www.blogger.com/atom/ns#","term":"divisão"},{"scheme":"http://www.blogger.com/atom/ns#","term":"expressões numéricas"},{"scheme":"http://www.blogger.com/atom/ns#","term":"multiplicação"},{"scheme":"http://www.blogger.com/atom/ns#","term":"Números"},{"scheme":"http://www.blogger.com/atom/ns#","term":"números racionais"},{"scheme":"http://www.blogger.com/atom/ns#","term":"subtração"}],"title":{"type":"text","$t":"Como transformar linguagem simbólica em linguagem natural e vice versa"},"content":{"type":"html","$t":"\u003Cbr \/\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EQualquer expressão numérica pode ser expressa de duas formas: em linguagem simbólica e em linguagem natural.\u0026nbsp;\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Ca href=\"https:\/\/2.bp.blogspot.com\/-29HwjbKb2S4\/W7XYuWVKBrI\/AAAAAAAAEEE\/hE3cfSqcjfIXrVYyqQS-BHXmeWYbpiWSgCLcBGAs\/s1600\/linguagem.PNG\" imageanchor=\"1\" style=\"margin-left: 1em; margin-right: 1em;\"\u003E\u003Cimg border=\"0\" data-original-height=\"360\" data-original-width=\"666\" height=\"172\" src=\"https:\/\/2.bp.blogspot.com\/-29HwjbKb2S4\/W7XYuWVKBrI\/AAAAAAAAEEE\/hE3cfSqcjfIXrVYyqQS-BHXmeWYbpiWSgCLcBGAs\/s320\/linguagem.PNG\" width=\"320\" \/\u003E\u003C\/a\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EA linguagem simbólica usa símbolos, e como tal, é entendida por toda as pessoas que conheçam esse símbolos e a forma como estão ligados, independentemente da sua língua natural. Por exemplo, 3+4x2. Qualquer pessoa que conheça estes símbolos sabe o que esta expressão numérica significa.\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EJá a linguagem natural é a forma como se expressa uma expressão numérica usando a sua língua. Por exemplo, 3+4x2, na língua portuguesa diz-se \u003Ci\u003Ea soma de 3 com o produto de 4 por 2\u003C\/i\u003E. Neste artigo vais aprender a transformar uma expressão numérica de linguagem simbólica para linguagem natural e vice-versa.\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cb\u003ETerminologia correta\u003C\/b\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EPara estudar matemática e saberes transformar uma expressão numérica na linguagem simbólica para a linguagem natural, e vice-versa, é importante conheceres a terminologia correta. Assim:\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E- soma (resultado de uma adição)\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E- diferença (resultado de uma subtração)\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E- produto (resultado de uma multiplicação)\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E- quociente (resultado de uma divisão)\u0026nbsp;\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cb\u003EComo transformar linguagem simbólica em linguagem natural e vice-versa\u003C\/b\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cu\u003E- Com uma operação\u003C\/u\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EComeçamos sempre por ler o resultado dessa operação, referindo de seguida os dois números envolvidos pela ordem que aparecem. Por exemplo:\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E5 + 3\u0026nbsp; \u0026lt;-\u0026gt; a soma de cinco com três\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E45 - 2\u0026nbsp;\u003C\/span\u003E\u003Cspan style=\"font-size: large;\"\u003E\u0026lt;-\u0026gt; a diferença entre quarenta e cinco e dois\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E3 x 12\u0026nbsp;\u003C\/span\u003E\u003Cspan style=\"font-size: large;\"\u003E\u0026lt;-\u0026gt; o produto de três por doze\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E5 : 3\u0026nbsp;\u003C\/span\u003E\u003Cspan style=\"font-size: large;\"\u003E\u0026lt;-\u0026gt; o quociente de cinco por três\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EEsta é a forma mais simples. Mas quando as expressões numéricas têm mais que uma operação, fica um pouco mais complicado, mas nada que não aprendas facilmente.\u0026nbsp;\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cu\u003E- Com duas ou mais operações\u003C\/u\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EPara saberes como transformar uma expressão numérica com mais que uma operação de linguagem simbólica para natural e vice-versa, é essencial saberes as regras do cálculo das expressões numéricas. Podes estudá-las \u003Cb\u003E\u003Ca href=\"http:\/\/www.estudarmatematica.pt\/2014\/07\/como-calcular-expressoes-numericas.html\" rel=\"nofollow\" target=\"_blank\"\u003EAQUI\u003C\/a\u003E\u003C\/b\u003E.\u0026nbsp;\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EPara escrever uma expressão numérica escrita de forma simbólica em linguagem natural temos de começar pela última operação a ser realizada. Por exemplo:\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv class=\"MsoNormal\"\u003E\u003Co:p\u003E\u003C\/o:p\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Ca href=\"https:\/\/1.bp.blogspot.com\/-GHDtMgHgCUE\/W7XR9i3QYhI\/AAAAAAAAEDw\/sw-qwLgnzQ44N43IsFc8XDB1779YoyZJwCLcBGAs\/s1600\/express%25C3%25A3o%2Bnum%25C3%25A9rica.PNG\" imageanchor=\"1\" style=\"clear: left; float: left; margin-bottom: 1em; margin-right: 1em;\"\u003E\u003Cimg border=\"0\" data-original-height=\"74\" data-original-width=\"112\" src=\"https:\/\/1.bp.blogspot.com\/-GHDtMgHgCUE\/W7XR9i3QYhI\/AAAAAAAAEDw\/sw-qwLgnzQ44N43IsFc8XDB1779YoyZJwCLcBGAs\/s1600\/express%25C3%25A3o%2Bnum%25C3%25A9rica.PNG\" \/\u003E\u003C\/a\u003E\u0026nbsp;\u003Cspan style=\"font-size: large; text-align: justify;\"\u003E\u0026nbsp;\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u0026nbsp; \u0026nbsp;\u003Cspan style=\"font-size: large;\"\u003E\u0026nbsp;\u003C\/span\u003E\u003Cspan style=\"font-size: large;\"\u003E\u0026lt;-\u0026gt; a soma do produto de três ao quadrado por um meio com três\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Ca href=\"https:\/\/1.bp.blogspot.com\/-9lclQMVWsOE\/W7XS0AHvzFI\/AAAAAAAAED4\/AtaEb_S7VQAFsRT4aY1JqQr_Q2iMQMbwQCLcBGAs\/s1600\/express%25C3%25A3o%2Bnum%25C3%25A9rica2.PNG\" imageanchor=\"1\" style=\"clear: left; float: left; margin-bottom: 1em; margin-right: 1em;\"\u003E\u003Cimg border=\"0\" data-original-height=\"65\" data-original-width=\"134\" src=\"https:\/\/1.bp.blogspot.com\/-9lclQMVWsOE\/W7XS0AHvzFI\/AAAAAAAAED4\/AtaEb_S7VQAFsRT4aY1JqQr_Q2iMQMbwQCLcBGAs\/s1600\/express%25C3%25A3o%2Bnum%25C3%25A9rica2.PNG\" \/\u003E\u003C\/a\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u0026lt;-\u0026gt; a diferença entre o produto de seis ao quadrado por dois e o quociente de um meio por três.\u0026nbsp;\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E"},"link":[{"rel":"replies","type":"application/atom+xml","href":"http:\/\/www.estudarmatematica.pt\/feeds\/7905519384981291429\/comments\/default","title":"Enviar comentários"},{"rel":"replies","type":"text/html","href":"http:\/\/www.estudarmatematica.pt\/2018\/10\/como-transformar-linguagem-simbolica-em.html#comment-form","title":"0 Comentários"},{"rel":"edit","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/5376395271292297196\/posts\/default\/7905519384981291429"},{"rel":"self","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/5376395271292297196\/posts\/default\/7905519384981291429"},{"rel":"alternate","type":"text/html","href":"http:\/\/www.estudarmatematica.pt\/2018\/10\/como-transformar-linguagem-simbolica-em.html","title":"Como transformar linguagem simbólica em linguagem natural e vice versa"}],"author":[{"name":{"$t":"Filipe A"},"uri":{"$t":"http:\/\/www.blogger.com\/profile\/08129530978110568538"},"email":{"$t":"noreply@blogger.com"},"gd$image":{"rel":"http://schemas.google.com/g/2005#thumbnail","width":"16","height":"16","src":"https:\/\/img1.blogblog.com\/img\/b16-rounded.gif"}}],"media$thumbnail":{"xmlns$media":"http://search.yahoo.com/mrss/","url":"https:\/\/2.bp.blogspot.com\/-29HwjbKb2S4\/W7XYuWVKBrI\/AAAAAAAAEEE\/hE3cfSqcjfIXrVYyqQS-BHXmeWYbpiWSgCLcBGAs\/s72-c\/linguagem.PNG","height":"72","width":"72"},"thr$total":{"$t":"0"}},{"id":{"$t":"tag:blogger.com,1999:blog-5376395271292297196.post-8861060985528005793"},"published":{"$t":"2018-06-08T15:00:00.000+01:00"},"updated":{"$t":"2018-06-08T15:00:42.219+01:00"},"category":[{"scheme":"http://www.blogger.com/atom/ns#","term":"exercícios"},{"scheme":"http://www.blogger.com/atom/ns#","term":"exercícios 5º ano"},{"scheme":"http://www.blogger.com/atom/ns#","term":"expressões numéricas"},{"scheme":"http://www.blogger.com/atom/ns#","term":"fichas"},{"scheme":"http://www.blogger.com/atom/ns#","term":"fichas para imprimir"}],"title":{"type":"text","$t":"Ficha de trabalho - Expressões numérica com frações e numerais mistos (com correção)"},"content":{"type":"html","$t":"\u003Cbr \/\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EPara te ajudar a relembrar alguns conceitos que necessitas de saber para calcular expressões numéricas com frações e numerais mistos, aconselhamos-te a leres os seguintes textos:\u003C\/span\u003E\u003Cbr \/\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003Cspan style=\"font-size: large;\"\u003E- \u003Ca href=\"http:\/\/www.estudarmatematica.pt\/2014\/07\/como-calcular-expressoes-numericas.html\" rel=\"nofollow\" target=\"_blank\"\u003EComo calcular expressões numéricas\u003C\/a\u003E\u003C\/span\u003E\u003Cbr \/\u003E\u003Cbr \/\u003E\u003Cspan style=\"background-color: white; font-family: inherit; font-size: 22px;\"\u003E- \u003Ca href=\"http:\/\/www.estudarmatematica.pt\/2015\/10\/como-converter-um-numeral-misto-numa.html\" rel=\"nofollow\" target=\"_blank\"\u003EComo converter um numeral misto numa fração e uma fração imprópria em numeral misto\u003C\/a\u003E\u003C\/span\u003E\u003Cbr \/\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003Cspan style=\"font-size: large;\"\u003EDe seguida apresentamos uma ficha de trabalho com vários exercícios resolvidos, para praticares e tirares dúvidas.\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cb\u003E\u003Cbr \/\u003E\u003C\/b\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cb\u003EFicha de trabalho - expressões numéricas com frações e numerais mistos\u003C\/b\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: medium;\"\u003E[Para poderes realizar a seguinte ficha de trabalho, clica em cima da imagem e guarda. Depois podes ver com melhor resolução no teu computador ou imprimir. Se não quiseres guardar, clica com o botão direito do rato e seleciona \"Abrir em novo separador\". Depois tens apenas de clicar em cima da imagem no novo separador.]\u003C\/span\u003E\u003Cbr \/\u003E\u003Cspan style=\"font-size: medium;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003Cspan style=\"font-size: medium;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003Cbr \/\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Ca href=\"https:\/\/2.bp.blogspot.com\/-O-Ra8S3gjSA\/WrEr9QlVigI\/AAAAAAAAECg\/R8I81illAHoFGaG1dkPsJBHWTlfnGQVcACLcBGAs\/s1600\/ficha%2Bnumerais%2Bmistos.PNG\" imageanchor=\"1\" style=\"margin-left: 1em; margin-right: 1em;\"\u003E\u003Cimg border=\"0\" data-original-height=\"890\" data-original-width=\"746\" height=\"640\" src=\"https:\/\/2.bp.blogspot.com\/-O-Ra8S3gjSA\/WrEr9QlVigI\/AAAAAAAAECg\/R8I81illAHoFGaG1dkPsJBHWTlfnGQVcACLcBGAs\/s640\/ficha%2Bnumerais%2Bmistos.PNG\" width=\"536\" \/\u003E\u003C\/a\u003E\u003C\/div\u003E\u003Cspan style=\"font-size: medium;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E"},"link":[{"rel":"replies","type":"application/atom+xml","href":"http:\/\/www.estudarmatematica.pt\/feeds\/8861060985528005793\/comments\/default","title":"Enviar comentários"},{"rel":"replies","type":"text/html","href":"http:\/\/www.estudarmatematica.pt\/2018\/06\/ficha-de-trabalho-expressoes-numerica.html#comment-form","title":"0 Comentários"},{"rel":"edit","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/5376395271292297196\/posts\/default\/8861060985528005793"},{"rel":"self","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/5376395271292297196\/posts\/default\/8861060985528005793"},{"rel":"alternate","type":"text/html","href":"http:\/\/www.estudarmatematica.pt\/2018\/06\/ficha-de-trabalho-expressoes-numerica.html","title":"Ficha de trabalho - Expressões numérica com frações e numerais mistos (com correção)"}],"author":[{"name":{"$t":"Filipe A"},"uri":{"$t":"http:\/\/www.blogger.com\/profile\/08129530978110568538"},"email":{"$t":"noreply@blogger.com"},"gd$image":{"rel":"http://schemas.google.com/g/2005#thumbnail","width":"16","height":"16","src":"https:\/\/img1.blogblog.com\/img\/b16-rounded.gif"}}],"media$thumbnail":{"xmlns$media":"http://search.yahoo.com/mrss/","url":"https:\/\/2.bp.blogspot.com\/-O-Ra8S3gjSA\/WrEr9QlVigI\/AAAAAAAAECg\/R8I81illAHoFGaG1dkPsJBHWTlfnGQVcACLcBGAs\/s72-c\/ficha%2Bnumerais%2Bmistos.PNG","height":"72","width":"72"},"thr$total":{"$t":"0"}},{"id":{"$t":"tag:blogger.com,1999:blog-5376395271292297196.post-6217725358884787921"},"published":{"$t":"2018-01-12T16:52:00.000+00:00"},"updated":{"$t":"2018-01-12T16:52:26.282+00:00"},"category":[{"scheme":"http://www.blogger.com/atom/ns#","term":"multiplicação"},{"scheme":"http://www.blogger.com/atom/ns#","term":"Números"},{"scheme":"http://www.blogger.com/atom/ns#","term":"operações"},{"scheme":"http://www.blogger.com/atom/ns#","term":"propriedades das operações"}],"title":{"type":"text","$t":"Propriedades da multiplicação de números naturais"},"content":{"type":"html","$t":"\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EA\u0026nbsp;multiplicação é uma das quatro operações básicas da Matemática. Esta operação possui algumas propriedades que, aplicadas corretamente, irão facilitar o cálculo. Mas antes de abordarmos as propriedades da\u0026nbsp;multiplicação de números naturais, é importante rever alguns conceitos.\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003C\/div\u003E\u003Cul\u003E\u003Cli\u003E\u003Cspan style=\"font-size: large;\"\u003Enúmero natural: número inteiro (sem parte decimal) não negativo, ou seja, números que possam traduzir-se em quantidades existentes na Natureza, incluindo ainda o zero.\u0026nbsp;{0, 1, 2, 3. 4, ...}\u003C\/span\u003E\u003C\/li\u003E\u003C\/ul\u003E\u003Cdiv\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cul\u003E\u003Cli\u003E\u003Cspan style=\"font-size: large;\"\u003EElementos da multiplicação\u003C\/span\u003E\u003C\/li\u003E\u003C\/ul\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Ca href=\"https:\/\/4.bp.blogspot.com\/-DCPMCZHqQT8\/Wdtv-6Jn8CI\/AAAAAAAAEAE\/KqDIOTwYQno2tyfzCZcFpfaRwIAuRDQ7gCLcBGAs\/s1600\/Sem%2BT%25C3%25ADtulo.png\" imageanchor=\"1\" style=\"margin-left: 1em; margin-right: 1em;\"\u003E\u003Cimg border=\"0\" data-original-height=\"311\" data-original-width=\"596\" height=\"166\" src=\"https:\/\/4.bp.blogspot.com\/-DCPMCZHqQT8\/Wdtv-6Jn8CI\/AAAAAAAAEAE\/KqDIOTwYQno2tyfzCZcFpfaRwIAuRDQ7gCLcBGAs\/s320\/Sem%2BT%25C3%25ADtulo.png\" width=\"320\" \/\u003E\u003C\/a\u003E\u003C\/div\u003E\u003Cbr \/\u003E\u003Cbr \/\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EDe seguida poderás conhecer as propriedades da multiplicação, juntamente com alguns exemplos práticos. Confere.\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u0026nbsp;\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"color: red; font-size: large;\"\u003E\u003Cb\u003E\u003Cbr \/\u003E\u003C\/b\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"color: red; font-size: large;\"\u003E\u003Cb\u003E\u003Cu\u003EPropriedades da\u0026nbsp;multiplicação de números naturais\u003C\/u\u003E\u003C\/b\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cb\u003E=\u0026gt; Propriedade comutativa da multiplicação\u003C\/b\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003ENuma multiplicação, se trocarmos a ordem dos fatores, o produto não se altera.\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EExemplo: 2\u0026nbsp;x 7 =\u0026nbsp;14\u0026nbsp;\u0026nbsp;\u0026nbsp;e\u0026nbsp;\u0026nbsp;\u003C\/span\u003E\u003Cspan style=\"font-size: large;\"\u003E\u0026nbsp;7\u0026nbsp;x\u003C\/span\u003E\u003Cspan style=\"font-size: large;\"\u003E 2 = 14\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EExemplo prático: 5 x 57\u0026nbsp;x 2 (para facilitar o cálculo, trocamos o 57 pelo 2)\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EAssim, ficará\u0026nbsp;\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u0026nbsp;\u0026nbsp;\u0026nbsp;5\u0026nbsp;x 2 x 57 =\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E= 10\u0026nbsp;x 57 =\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E= 570\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EO cálculo mental ficou facilitado pela aplicação da propriedade comutativa da multiplicação.\u0026nbsp;\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u0026nbsp;\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cb\u003E=\u0026gt; Propriedade associativa da multiplicação\u003C\/b\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003ENuma multiplicação, se juntarmos\u0026nbsp;ofatores de forma diferente, o produto\u0026nbsp;não se altera.\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EExemplo:\u0026nbsp;\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E(2\u0026nbsp;x 7)\u0026nbsp;x 10=\u0026nbsp;14\u0026nbsp;x 10 = 140\u0026nbsp;\u0026nbsp;\u0026nbsp;\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E2\u0026nbsp;x (7\u0026nbsp;x 10) =\u0026nbsp;2\u0026nbsp;x\u0026nbsp;70 = 140\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EExemplo prático:\u0026nbsp;57\u0026nbsp;x 2 x 5 (para facilitar o cálculo, vamos juntar primeiro o 2 e o 5)\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EAssim, temos que\u0026nbsp;\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u0026nbsp;\u0026nbsp;\u0026nbsp;57\u0026nbsp;x 2 x 5 =\u0026nbsp;\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E=\u0026nbsp;57 x (2 x 5) =\u0026nbsp;\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E=\u0026nbsp;57\u0026nbsp;x 10 =\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E= 570\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EO cálculo mental ficou facilitado pela aplicação da propriedade associativa da multiplicação.\u0026nbsp;\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cb\u003E=\u0026gt; Existência do elemento neutro da multiplicação\u003C\/b\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003C\/span\u003E\u003Cbr \/\u003E\u003Cspan style=\"font-size: large;\"\u003ENuma multiplicação, se multiplicarmos qualquer número por 1, o produto é igual a esse número.\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EExemplo: 21\u0026nbsp;x 1 = 21\u003C\/span\u003E\u003Cbr \/\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003C\/span\u003E\u003Cbr \/\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003C\/span\u003E\u003Cbr \/\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003C\/span\u003E\u003Cbr \/\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cb\u003E=\u0026gt; Existência do elemento\u0026nbsp;absorvente da multiplicação\u003C\/b\u003E\u003C\/span\u003E\u003Cbr \/\u003E\u003Cbr \/\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cspan style=\"font-size: small;\"\u003ENuma multiplicação, se multiplicarmos qualquer número por 0, o produto é sempre igual a zero.\u003C\/span\u003E\u003Cspan style=\"font-size: small;\"\u003E\u003C\/span\u003E\u0026nbsp;Por maior que seja o número, o seu produto por 0 é sempre 0.\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003C\/span\u003E\u003Cbr \/\u003E\u003Cspan style=\"font-size: large;\"\u003EExemplo: 21\u0026nbsp;x\u0026nbsp;0 = 0\u003C\/span\u003E\u003C\/div\u003E\u003C\/div\u003E"},"link":[{"rel":"replies","type":"application/atom+xml","href":"http:\/\/www.estudarmatematica.pt\/feeds\/6217725358884787921\/comments\/default","title":"Enviar comentários"},{"rel":"replies","type":"text/html","href":"http:\/\/www.estudarmatematica.pt\/2018\/01\/propriedades-da-multiplicacao-de.html#comment-form","title":"0 Comentários"},{"rel":"edit","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/5376395271292297196\/posts\/default\/6217725358884787921"},{"rel":"self","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/5376395271292297196\/posts\/default\/6217725358884787921"},{"rel":"alternate","type":"text/html","href":"http:\/\/www.estudarmatematica.pt\/2018\/01\/propriedades-da-multiplicacao-de.html","title":"Propriedades da multiplicação de números naturais"}],"author":[{"name":{"$t":"Filipe A"},"uri":{"$t":"http:\/\/www.blogger.com\/profile\/08129530978110568538"},"email":{"$t":"noreply@blogger.com"},"gd$image":{"rel":"http://schemas.google.com/g/2005#thumbnail","width":"16","height":"16","src":"https:\/\/img1.blogblog.com\/img\/b16-rounded.gif"}}],"media$thumbnail":{"xmlns$media":"http://search.yahoo.com/mrss/","url":"https:\/\/4.bp.blogspot.com\/-DCPMCZHqQT8\/Wdtv-6Jn8CI\/AAAAAAAAEAE\/KqDIOTwYQno2tyfzCZcFpfaRwIAuRDQ7gCLcBGAs\/s72-c\/Sem%2BT%25C3%25ADtulo.png","height":"72","width":"72"},"thr$total":{"$t":"0"}},{"id":{"$t":"tag:blogger.com,1999:blog-5376395271292297196.post-588357363875435089"},"published":{"$t":"2017-10-13T16:06:00.000+01:00"},"updated":{"$t":"2017-10-13T16:06:08.392+01:00"},"category":[{"scheme":"http://www.blogger.com/atom/ns#","term":"algoritmo"},{"scheme":"http://www.blogger.com/atom/ns#","term":"mdc"},{"scheme":"http://www.blogger.com/atom/ns#","term":"Números"},{"scheme":"http://www.blogger.com/atom/ns#","term":"números inteiros"}],"title":{"type":"text","$t":"Calcular o mdc com o Algoritmo de Euclides"},"content":{"type":"html","$t":"\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EO máximo divisor comum (mdc), é o maior número que consegue dividir dois ou mais dados números. Para calcular o máximo divisor comum há várias formas, nomeadamente por comparação do conjunto de divisores de cada um dos números ou por decomposição em fatores primos. Para saberes mais sobre este último\u0026nbsp;método confere\u0026nbsp;o artigo \"\u003Ca href=\"http:\/\/www.estudarmatematica.pt\/2013\/11\/como-calcular-o-mdc-maximo-divisor-comum.html\" rel=\"nofollow\" target=\"_blank\"\u003EComo calcular o mdc\u003C\/a\u003E\". \u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003C\/span\u003E\u0026nbsp;\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EContudo, há um outro método que pode ser bastante útil em certos casos, especialmente quando são números grandes: o algoritmo de Euclides. De seguida podes aprender, passo\u0026nbsp;a passo, como usar este método.\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003C\/span\u003E\u0026nbsp;\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003C\/span\u003E\u0026nbsp;\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cstrong\u003EAlgoritmo de Euclides - passo a passo\u003C\/strong\u003E\u003C\/span\u003E\u003Cbr \/\u003E\u003Cstrong\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003C\/span\u003E\u003C\/strong\u003E\u003Cbr \/\u003E\u003Ca href=\"https:\/\/4.bp.blogspot.com\/-3IdkzggIpCk\/WeDQNFbPejI\/AAAAAAAAEAU\/f2rj-MecUbQ8K3Xnd_3lZFxGuy4UoaMQwCLcBGAs\/s1600\/algoritmo%2Bde%2Beuclides.png\" imageanchor=\"1\" style=\"clear: right; float: right; margin-bottom: 1em; margin-left: 1em;\"\u003E\u003Cimg alt=\"calcular mdc\" border=\"0\" data-original-height=\"614\" data-original-width=\"459\" height=\"400\" src=\"https:\/\/4.bp.blogspot.com\/-3IdkzggIpCk\/WeDQNFbPejI\/AAAAAAAAEAU\/f2rj-MecUbQ8K3Xnd_3lZFxGuy4UoaMQwCLcBGAs\/s400\/algoritmo%2Bde%2Beuclides.png\" title=\"algoritmo de euclides\" width=\"298\" \/\u003E\u003C\/a\u003E\u003Cspan style=\"font-size: large;\"\u003EPara calcular o máximo divisor comum entre dois números usando o algoritmo de Euclides começamos por fazer a divisão inteira entre esses dois números. No exemplo dado, entre 512 e 26.\u003C\/span\u003E\u003Cbr \/\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003C\/span\u003E\u003Cbr \/\u003E\u003Cspan style=\"font-size: large;\"\u003EApós fazer a divisão inteira, se o resto for diferente de zero, voltamos a fazer uma nova divisão inteira, desta vez dividindo o divisor pelo resto da primeira divisão.\u003C\/span\u003E\u003Cbr \/\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003C\/span\u003E\u003Cbr \/\u003E\u003Cspan style=\"font-size: large;\"\u003EDevem fazer-se divisões inteiras consecutivas seguindo esta regra até se atingir resto zero. Quando isso ocorrer, o último divisor será o máximo divisor comum.\u0026nbsp;\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cstrong\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003C\/span\u003E\u003C\/strong\u003E\u0026nbsp;\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u0026nbsp;\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003C\/span\u003E\u0026nbsp;\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u0026nbsp;\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u0026nbsp;\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u0026nbsp;\u003C\/div\u003E"},"link":[{"rel":"replies","type":"application/atom+xml","href":"http:\/\/www.estudarmatematica.pt\/feeds\/588357363875435089\/comments\/default","title":"Enviar comentários"},{"rel":"replies","type":"text/html","href":"http:\/\/www.estudarmatematica.pt\/2017\/10\/calcular-o-mdc-com-o-algoritmo-de.html#comment-form","title":"0 Comentários"},{"rel":"edit","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/5376395271292297196\/posts\/default\/588357363875435089"},{"rel":"self","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/5376395271292297196\/posts\/default\/588357363875435089"},{"rel":"alternate","type":"text/html","href":"http:\/\/www.estudarmatematica.pt\/2017\/10\/calcular-o-mdc-com-o-algoritmo-de.html","title":"Calcular o mdc com o Algoritmo de Euclides"}],"author":[{"name":{"$t":"Filipe A"},"uri":{"$t":"http:\/\/www.blogger.com\/profile\/08129530978110568538"},"email":{"$t":"noreply@blogger.com"},"gd$image":{"rel":"http://schemas.google.com/g/2005#thumbnail","width":"16","height":"16","src":"https:\/\/img1.blogblog.com\/img\/b16-rounded.gif"}}],"media$thumbnail":{"xmlns$media":"http://search.yahoo.com/mrss/","url":"https:\/\/4.bp.blogspot.com\/-3IdkzggIpCk\/WeDQNFbPejI\/AAAAAAAAEAU\/f2rj-MecUbQ8K3Xnd_3lZFxGuy4UoaMQwCLcBGAs\/s72-c\/algoritmo%2Bde%2Beuclides.png","height":"72","width":"72"},"thr$total":{"$t":"0"}},{"id":{"$t":"tag:blogger.com,1999:blog-5376395271292297196.post-2485743294978045485"},"published":{"$t":"2017-10-06T11:34:00.000+01:00"},"updated":{"$t":"2017-10-06T11:34:59.738+01:00"},"category":[{"scheme":"http://www.blogger.com/atom/ns#","term":"adição"},{"scheme":"http://www.blogger.com/atom/ns#","term":"Números"},{"scheme":"http://www.blogger.com/atom/ns#","term":"números inteiros"},{"scheme":"http://www.blogger.com/atom/ns#","term":"números naturais"},{"scheme":"http://www.blogger.com/atom/ns#","term":"operações"},{"scheme":"http://www.blogger.com/atom/ns#","term":"propriedades das operações"}],"title":{"type":"text","$t":"Propriedades da adição de números naturais"},"content":{"type":"html","$t":"\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EA adição é uma das quatro operações básicas da Matemática. Esta operação possui algumas propriedades que, aplicadas corretamente, irão facilitar o cálculo. Mas antes de abordarmos as propriedades da adição de números naturais, é importante rever alguns conceitos.\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003C\/div\u003E\u003Cul\u003E\u003Cli\u003E\u003Cspan style=\"font-size: large;\"\u003Enúmero natural: número inteiro (sem parte decimal) não negativo, ou seja, números que possam traduzir-se em quantidades existentes na Natureza, incluindo ainda o zero.\u0026nbsp;{0, 1, 2, 3. 4, ...}\u003C\/span\u003E\u003C\/li\u003E\u003C\/ul\u003E\u003Cdiv\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cul\u003E\u003Cli\u003E\u003Cspan style=\"font-size: large;\"\u003EElementos da adição\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Ca href=\"https:\/\/2.bp.blogspot.com\/-_wbWpiP-ZDU\/WddaRQLwIFI\/AAAAAAAAD_0\/vHNKMW2EXnIiqIBVYEJJpYAWNWRhLP3YACLcBGAs\/s1600\/elementos%2Badi%25C3%25A7%25C3%25A3o.png\" imageanchor=\"1\" style=\"margin-left: 1em; margin-right: 1em;\"\u003E\u003Cimg border=\"0\" data-original-height=\"386\" data-original-width=\"744\" height=\"166\" src=\"https:\/\/2.bp.blogspot.com\/-_wbWpiP-ZDU\/WddaRQLwIFI\/AAAAAAAAD_0\/vHNKMW2EXnIiqIBVYEJJpYAWNWRhLP3YACLcBGAs\/s320\/elementos%2Badi%25C3%25A7%25C3%25A3o.png\" width=\"320\" \/\u003E\u003C\/a\u003E\u003C\/div\u003E\u003C\/span\u003E\u003C\/li\u003E\u003C\/ul\u003E\u003Cbr \/\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EDe seguida poderás conhecer as propriedades da adição, juntamente com alguns exemplos práticos. Confere.\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"color: red; font-size: large;\"\u003E\u003Cb\u003E\u003Cbr \/\u003E\u003C\/b\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"color: red; font-size: large;\"\u003E\u003Cb\u003E\u003Cu\u003EPropriedades da adição de números naturais\u003C\/u\u003E\u003C\/b\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cb\u003E=\u0026gt; Propriedade comutativa da adição\u003C\/b\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003ENuma adição, se trocarmos a ordem das parcelas, a soma não se altera.\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EExemplo: 21\u0026nbsp;+ 7 = 28\u0026nbsp; \u0026nbsp;e\u0026nbsp;\u0026nbsp;\u003C\/span\u003E\u003Cspan style=\"font-size: large;\"\u003E\u0026nbsp;7\u0026nbsp;\u003C\/span\u003E\u003Cspan style=\"font-size: large;\"\u003E+ 21 = 28\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EExemplo prático: 34\u0026nbsp;+ 57\u0026nbsp;+ 6 (para facilitar o cálculo, trocamos o 57 pelo 6)\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EAssim, ficará\u0026nbsp;\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u0026nbsp; \u0026nbsp;34\u0026nbsp;+ 6\u0026nbsp;+ 57 =\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E= 40\u0026nbsp;+ 57 =\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E= 97\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EO cálculo mental ficou facilitado pela aplicação da propriedade comutativa da adição.\u0026nbsp;\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cb\u003E=\u0026gt; Propriedade associativa da adição\u003C\/b\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003ENuma adição, se juntarmos as parcelas de forma diferente, a soma não se altera.\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EExemplo:\u0026nbsp;\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E(21\u0026nbsp;+ 7) + 11= 28\u0026nbsp;+ 11 = 39 \u0026nbsp;\u0026nbsp;\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E7\u0026nbsp;\u003C\/span\u003E\u003Cspan style=\"font-size: large;\"\u003E+ (21\u0026nbsp;+ 11) = 7 + 32 = 39\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EExemplo prático: 34\u0026nbsp;+ 57\u0026nbsp;+ 3 (para facilitar o cálculo, vamos juntar primeiro o 57 e o 3)\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EAssim, temos que\u0026nbsp;\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u0026nbsp; \u0026nbsp;34\u0026nbsp;+ 57\u0026nbsp;+ 3 =\u0026nbsp;\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E= 34\u0026nbsp;+ (57\u0026nbsp;+ 3) =\u0026nbsp;\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E= 34\u0026nbsp;+ 60 =\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E= 94\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EO cálculo mental ficou facilitado pela aplicação da propriedade associativa da adição.\u0026nbsp;\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cb\u003E=\u0026gt; Existência do elemento neutro da adição\u003C\/b\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003ENuma adição, se adicionarmos o zero a outra parcela, a soma é igual a esta parcela.\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EExemplo: 21\u0026nbsp;+ 0 = 21\u003C\/span\u003E\u003C\/div\u003E"},"link":[{"rel":"replies","type":"application/atom+xml","href":"http:\/\/www.estudarmatematica.pt\/feeds\/2485743294978045485\/comments\/default","title":"Enviar comentários"},{"rel":"replies","type":"text/html","href":"http:\/\/www.estudarmatematica.pt\/2017\/10\/propriedades-da-adicao-de-numeros.html#comment-form","title":"1 Comentários"},{"rel":"edit","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/5376395271292297196\/posts\/default\/2485743294978045485"},{"rel":"self","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/5376395271292297196\/posts\/default\/2485743294978045485"},{"rel":"alternate","type":"text/html","href":"http:\/\/www.estudarmatematica.pt\/2017\/10\/propriedades-da-adicao-de-numeros.html","title":"Propriedades da adição de números naturais"}],"author":[{"name":{"$t":"Filipe A"},"uri":{"$t":"http:\/\/www.blogger.com\/profile\/08129530978110568538"},"email":{"$t":"noreply@blogger.com"},"gd$image":{"rel":"http://schemas.google.com/g/2005#thumbnail","width":"16","height":"16","src":"https:\/\/img1.blogblog.com\/img\/b16-rounded.gif"}}],"media$thumbnail":{"xmlns$media":"http://search.yahoo.com/mrss/","url":"https:\/\/2.bp.blogspot.com\/-_wbWpiP-ZDU\/WddaRQLwIFI\/AAAAAAAAD_0\/vHNKMW2EXnIiqIBVYEJJpYAWNWRhLP3YACLcBGAs\/s72-c\/elementos%2Badi%25C3%25A7%25C3%25A3o.png","height":"72","width":"72"},"thr$total":{"$t":"1"}},{"id":{"$t":"tag:blogger.com,1999:blog-5376395271292297196.post-1072997248991997617"},"published":{"$t":"2017-01-20T10:03:00.000+00:00"},"updated":{"$t":"2017-01-20T10:03:49.688+00:00"},"category":[{"scheme":"http://www.blogger.com/atom/ns#","term":"constante de proporcionalidade"},{"scheme":"http://www.blogger.com/atom/ns#","term":"fichas"},{"scheme":"http://www.blogger.com/atom/ns#","term":"fichas para imprimir"},{"scheme":"http://www.blogger.com/atom/ns#","term":"proporcionalidade direta"}],"title":{"type":"text","$t":"Ficha de trabalho - Proporções (com correção)"},"content":{"type":"html","$t":"\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EA proporção é a relação entre duas partes ou entre uma parte e o todo. Por exemplo, a proporção entre a quantidade de dois ingredientes necessários para a confeção de um bolo, ou então, entre a quantidade de um ingrediente e o número de bolos.\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EPara te ajudar a estudar este tema de matemática elaboramos uma ficha de trabalho com exercícios sobre proporções, e a respetiva correção.\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E=\u0026gt; Para saberes mais sobre o que é a constante de proporcionalidade clica \u003Ca href=\"http:\/\/www.estudarmatematica.pt\/2014\/01\/o-que-e-constante-de-proporcionalidade.html\" rel=\"nofollow\" target=\"_blank\"\u003EAQUI\u003C\/a\u003E.\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cb\u003EFicha de trabalho - proporções (correção mais abaixo)\u003C\/b\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cdiv style=\"text-align: justify;\"\u003E(para ampliar clica em cima da imagem)\u003C\/div\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Ca href=\"https:\/\/2.bp.blogspot.com\/-v3dCHZ8LLSQ\/WIHYSsPu3pI\/AAAAAAAAD8U\/VHgT5rRii8wKjjfuAWlXXAWjK26rdOLoQCLcB\/s1600\/ficha%2Bpropor%25C3%25A7%25C3%25B5es.PNG\" imageanchor=\"1\" style=\"margin-left: 1em; margin-right: 1em;\"\u003E\u003Cimg border=\"0\" height=\"640\" src=\"https:\/\/2.bp.blogspot.com\/-v3dCHZ8LLSQ\/WIHYSsPu3pI\/AAAAAAAAD8U\/VHgT5rRii8wKjjfuAWlXXAWjK26rdOLoQCLcB\/s640\/ficha%2Bpropor%25C3%25A7%25C3%25B5es.PNG\" width=\"492\" \/\u003E\u003C\/a\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Cb\u003E\u003Cspan style=\"font-size: large;\"\u003ECorreção\u003C\/span\u003E\u003C\/b\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E1\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003Ea) 9; b) 2,4; c) 1,92; d) 36; e) 90; f) 10,2; g) 8; h) 192; i) 90\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E2\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003Ea) 200\/6 = 100\/3\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003Eb) 100\/3=300\/x \u0026nbsp;-\u0026gt; x=9\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E3\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003Ea)16:2=8 \u0026nbsp;(ou 2:16=0,125)\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003Eb) 1-8 ; 2-16; 3-24; 4-32; 21-168\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E"},"link":[{"rel":"replies","type":"application/atom+xml","href":"http:\/\/www.estudarmatematica.pt\/feeds\/1072997248991997617\/comments\/default","title":"Enviar comentários"},{"rel":"replies","type":"text/html","href":"http:\/\/www.estudarmatematica.pt\/2017\/01\/ficha-de-trabalho-proporcoes-com.html#comment-form","title":"0 Comentários"},{"rel":"edit","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/5376395271292297196\/posts\/default\/1072997248991997617"},{"rel":"self","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/5376395271292297196\/posts\/default\/1072997248991997617"},{"rel":"alternate","type":"text/html","href":"http:\/\/www.estudarmatematica.pt\/2017\/01\/ficha-de-trabalho-proporcoes-com.html","title":"Ficha de trabalho - Proporções (com correção)"}],"author":[{"name":{"$t":"Filipe A"},"uri":{"$t":"http:\/\/www.blogger.com\/profile\/08129530978110568538"},"email":{"$t":"noreply@blogger.com"},"gd$image":{"rel":"http://schemas.google.com/g/2005#thumbnail","width":"16","height":"16","src":"https:\/\/img1.blogblog.com\/img\/b16-rounded.gif"}}],"media$thumbnail":{"xmlns$media":"http://search.yahoo.com/mrss/","url":"https:\/\/2.bp.blogspot.com\/-v3dCHZ8LLSQ\/WIHYSsPu3pI\/AAAAAAAAD8U\/VHgT5rRii8wKjjfuAWlXXAWjK26rdOLoQCLcB\/s72-c\/ficha%2Bpropor%25C3%25A7%25C3%25B5es.PNG","height":"72","width":"72"},"thr$total":{"$t":"0"}},{"id":{"$t":"tag:blogger.com,1999:blog-5376395271292297196.post-3713586320294517100"},"published":{"$t":"2016-10-24T11:57:00.000+01:00"},"updated":{"$t":"2016-10-24T11:57:05.947+01:00"},"category":[{"scheme":"http://www.blogger.com/atom/ns#","term":"Números"},{"scheme":"http://www.blogger.com/atom/ns#","term":"operações"},{"scheme":"http://www.blogger.com/atom/ns#","term":"potências"}],"title":{"type":"text","$t":"Divisão de potências com a mesma base e o mesmo expoente"},"content":{"type":"html","$t":"\u003Cbr \/\u003E\u003Cbr \/\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003ENa matemática há muitas vezes propriedades que ajudam a simplificar os cálculos. Um desses exemplos é a divisão de potências. De seguida podes aprender como dividir potências com a mesma base ou com o mesmo expoente de uma forma simples.\u003C\/span\u003E\u003Cbr \/\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003Cspan style=\"font-size: medium;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003Cspan style=\"font-size: medium;\"\u003E\u003Cb\u003E\u003Cspan style=\"color: blue;\"\u003E=\u0026gt;\u0026nbsp;\u003Ca href=\"http:\/\/www.estudarmatematica.pt\/2016\/10\/multiplicacao-de-potencias-com-mesma.html\" rel=\"nofollow\" target=\"_blank\"\u003EAQUI\u003C\/a\u003E\u003C\/span\u003E\u003C\/b\u003E podes também aprender a fazer a multiplicação de potências com a mesma base e o mesmo expoente\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003C\/div\u003E\u003Cul\u003E\u003Cli\u003E\u003Cb style=\"font-size: x-large;\"\u003EQuociente de potências com a mesma base\u003C\/b\u003E\u003C\/li\u003E\u003C\/ul\u003E\u003Cbr \/\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EPara dividir potências com a mesma base, mantém-se a base e subtraem-se os expoentes.\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Ca href=\"https:\/\/2.bp.blogspot.com\/-TQWdbQhH_pc\/WAZD_T4M4EI\/AAAAAAAAD50\/h9toc8R66MgchkzwVNHnddfgq_7CpEmeACLcB\/s1600\/4.jpg\" imageanchor=\"1\" style=\"margin-left: 1em; margin-right: 1em;\"\u003E\u003Cimg border=\"0\" src=\"https:\/\/2.bp.blogspot.com\/-TQWdbQhH_pc\/WAZD_T4M4EI\/AAAAAAAAD50\/h9toc8R66MgchkzwVNHnddfgq_7CpEmeACLcB\/s1600\/4.jpg\" \/\u003E\u003C\/a\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cbr \/\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cu\u003EExemplo:\u0026nbsp;\u003C\/u\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cbr \/\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Ca href=\"https:\/\/4.bp.blogspot.com\/--2C0EPGMX8A\/WAZD_D9GJwI\/AAAAAAAAD5w\/HLuC4TJdWIgPXaxcHQEdgBkU3uXpSTkHQCEw\/s1600\/2.jpg\" imageanchor=\"1\" style=\"clear: left; float: left; margin-bottom: 1em; margin-right: 1em;\"\u003E\u003Cimg border=\"0\" src=\"https:\/\/4.bp.blogspot.com\/--2C0EPGMX8A\/WAZD_D9GJwI\/AAAAAAAAD5w\/HLuC4TJdWIgPXaxcHQEdgBkU3uXpSTkHQCEw\/s1600\/2.jpg\" \/\u003E\u003C\/a\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003C\/div\u003E\u003Cul\u003E\u003Cli\u003E\u003Cb style=\"font-size: x-large;\"\u003EQuociente de potências com o mesmo expoente\u003C\/b\u003E\u003C\/li\u003E\u003C\/ul\u003E\u003Cbr \/\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EPara dividir potências com o mesmo expoente, mantém-se o expoente e dividem-se as bases.\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Ca href=\"https:\/\/1.bp.blogspot.com\/--kFyW4Dklzw\/WAZD_IyZLOI\/AAAAAAAAD5o\/q1njXlWQt_ALpkhxD1qDuEiAowoSccpQQCEw\/s1600\/3.jpg\" imageanchor=\"1\" style=\"margin-left: 1em; margin-right: 1em;\"\u003E\u003Cimg border=\"0\" src=\"https:\/\/1.bp.blogspot.com\/--kFyW4Dklzw\/WAZD_IyZLOI\/AAAAAAAAD5o\/q1njXlWQt_ALpkhxD1qDuEiAowoSccpQQCEw\/s1600\/3.jpg\" \/\u003E\u003C\/a\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cbr \/\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cu\u003EExemplo:\u003C\/u\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cbr \/\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Ca href=\"https:\/\/1.bp.blogspot.com\/-Nr5YK90xcqE\/WAZD_H3Tg-I\/AAAAAAAAD5s\/YQxIUiFF5001rHuztxLbqni29HBUQeOJQCEw\/s1600\/1.jpg\" imageanchor=\"1\" style=\"clear: left; float: left; margin-bottom: 1em; margin-right: 1em;\"\u003E\u003Cimg border=\"0\" src=\"https:\/\/1.bp.blogspot.com\/-Nr5YK90xcqE\/WAZD_H3Tg-I\/AAAAAAAAD5s\/YQxIUiFF5001rHuztxLbqni29HBUQeOJQCEw\/s1600\/1.jpg\" \/\u003E\u003C\/a\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003ESabes calcular expressões numéricas com potências? Aprende mais\u0026nbsp;\u003Cb\u003E\u003Cspan style=\"color: blue;\"\u003E\u003Ca href=\"http:\/\/www.estudarmatematica.pt\/2014\/07\/como-calcular-expressoes-numericas.html\" rel=\"nofollow\" target=\"_blank\"\u003EAQUI\u003C\/a\u003E\u003C\/span\u003E\u003C\/b\u003E.\u003C\/span\u003E\u003C\/div\u003E"},"link":[{"rel":"replies","type":"application/atom+xml","href":"http:\/\/www.estudarmatematica.pt\/feeds\/3713586320294517100\/comments\/default","title":"Enviar comentários"},{"rel":"replies","type":"text/html","href":"http:\/\/www.estudarmatematica.pt\/2016\/10\/divisao-de-potencias-com-mesma-base-e-o.html#comment-form","title":"0 Comentários"},{"rel":"edit","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/5376395271292297196\/posts\/default\/3713586320294517100"},{"rel":"self","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/5376395271292297196\/posts\/default\/3713586320294517100"},{"rel":"alternate","type":"text/html","href":"http:\/\/www.estudarmatematica.pt\/2016\/10\/divisao-de-potencias-com-mesma-base-e-o.html","title":"Divisão de potências com a mesma base e o mesmo expoente"}],"author":[{"name":{"$t":"Filipe A"},"uri":{"$t":"http:\/\/www.blogger.com\/profile\/08129530978110568538"},"email":{"$t":"noreply@blogger.com"},"gd$image":{"rel":"http://schemas.google.com/g/2005#thumbnail","width":"16","height":"16","src":"https:\/\/img1.blogblog.com\/img\/b16-rounded.gif"}}],"media$thumbnail":{"xmlns$media":"http://search.yahoo.com/mrss/","url":"https:\/\/2.bp.blogspot.com\/-TQWdbQhH_pc\/WAZD_T4M4EI\/AAAAAAAAD50\/h9toc8R66MgchkzwVNHnddfgq_7CpEmeACLcB\/s72-c\/4.jpg","height":"72","width":"72"},"thr$total":{"$t":"0"}},{"id":{"$t":"tag:blogger.com,1999:blog-5376395271292297196.post-8166611942924654000"},"published":{"$t":"2016-10-18T16:35:00.002+01:00"},"updated":{"$t":"2016-10-18T16:35:10.772+01:00"},"category":[{"scheme":"http://www.blogger.com/atom/ns#","term":"multiplicação"},{"scheme":"http://www.blogger.com/atom/ns#","term":"Números"},{"scheme":"http://www.blogger.com/atom/ns#","term":"operações"},{"scheme":"http://www.blogger.com/atom/ns#","term":"potências"}],"title":{"type":"text","$t":"Multiplicação de potências com a mesma base e com o mesmo expoente"},"content":{"type":"html","$t":"\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003ENa matemática há muitas vezes propriedades que ajudam a simplificar os cálculos. Um desses exemplos é a multiplicação de potências. De seguida podes aprender como multiplicar potências com a mesma base ou com o mesmo expoente de uma forma simples.\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003C\/div\u003E\u003Cul\u003E\u003Cli\u003E\u003Cb style=\"font-size: x-large;\"\u003EProduto de potências com a mesma base\u003C\/b\u003E\u003C\/li\u003E\u003C\/ul\u003E\u003Cbr \/\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EPara multiplicar potências com a mesma base, mantém-se a base e somam-se os expoentes.\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Ca href=\"https:\/\/3.bp.blogspot.com\/-oUw1jyLOoNc\/WAZAerNnFLI\/AAAAAAAAD5g\/R6pHoS2V9ks96I4ml1bq_xE35Rkdv53lACLcB\/s1600\/1.jpg\" imageanchor=\"1\" style=\"margin-left: 1em; margin-right: 1em;\"\u003E\u003Cimg border=\"0\" src=\"https:\/\/3.bp.blogspot.com\/-oUw1jyLOoNc\/WAZAerNnFLI\/AAAAAAAAD5g\/R6pHoS2V9ks96I4ml1bq_xE35Rkdv53lACLcB\/s1600\/1.jpg\" \/\u003E\u003C\/a\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cu\u003EExemplo:\u0026nbsp;\u003C\/u\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Ca href=\"https:\/\/2.bp.blogspot.com\/-pBHHQF1QqgA\/WAY_KdCRHeI\/AAAAAAAAD5U\/USu8JiasZAggJTReCFyuRCSoH-sWmYjnwCLcB\/s1600\/1.jpg\" imageanchor=\"1\" style=\"clear: left; float: left; margin-bottom: 1em; margin-right: 1em;\"\u003E\u003Cimg border=\"0\" src=\"https:\/\/2.bp.blogspot.com\/-pBHHQF1QqgA\/WAY_KdCRHeI\/AAAAAAAAD5U\/USu8JiasZAggJTReCFyuRCSoH-sWmYjnwCLcB\/s1600\/1.jpg\" \/\u003E\u003C\/a\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cbr \/\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003C\/div\u003E\u003Cul\u003E\u003Cli\u003E\u003Cb style=\"font-size: x-large;\"\u003EProduto de potências com o mesmo expoente\u003C\/b\u003E\u003C\/li\u003E\u003C\/ul\u003E\u003Cbr \/\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EPara multiplicar potências com o mesmo expoente, mantém-se o expoente e multiplicam-se as bases.\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Ca href=\"https:\/\/3.bp.blogspot.com\/-LZMvia88KLc\/WAZAeicwFEI\/AAAAAAAAD5c\/u_W87A41Rv8fccM83dNDCRRpxugb_qfsgCEw\/s1600\/2.jpg\" imageanchor=\"1\" style=\"margin-left: 1em; margin-right: 1em;\"\u003E\u003Cimg border=\"0\" src=\"https:\/\/3.bp.blogspot.com\/-LZMvia88KLc\/WAZAeicwFEI\/AAAAAAAAD5c\/u_W87A41Rv8fccM83dNDCRRpxugb_qfsgCEw\/s1600\/2.jpg\" \/\u003E\u003C\/a\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cu\u003EExemplo:\u003C\/u\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Ca href=\"https:\/\/1.bp.blogspot.com\/-3uKf8o4bfmg\/WAY_wlFn9dI\/AAAAAAAAD5Y\/nVLek2pvO00t1d16V8rCzJGCplVdcOV6wCLcB\/s1600\/2.jpg\" imageanchor=\"1\" style=\"clear: left; float: left; margin-bottom: 1em; margin-right: 1em;\"\u003E\u003Cimg border=\"0\" src=\"https:\/\/1.bp.blogspot.com\/-3uKf8o4bfmg\/WAY_wlFn9dI\/AAAAAAAAD5Y\/nVLek2pvO00t1d16V8rCzJGCplVdcOV6wCLcB\/s1600\/2.jpg\" \/\u003E\u003C\/a\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cbr \/\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003ESabes calcular expressões numéricas com potências? Aprende mais \u003Cb\u003E\u003Cspan style=\"color: blue;\"\u003E\u003Ca href=\"http:\/\/www.estudarmatematica.pt\/2014\/07\/como-calcular-expressoes-numericas.html\" rel=\"nofollow\" target=\"_blank\"\u003EAQUI\u003C\/a\u003E\u003C\/span\u003E\u003C\/b\u003E.\u003C\/span\u003E\u003C\/div\u003E"},"link":[{"rel":"replies","type":"application/atom+xml","href":"http:\/\/www.estudarmatematica.pt\/feeds\/8166611942924654000\/comments\/default","title":"Enviar comentários"},{"rel":"replies","type":"text/html","href":"http:\/\/www.estudarmatematica.pt\/2016\/10\/multiplicacao-de-potencias-com-mesma.html#comment-form","title":"1 Comentários"},{"rel":"edit","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/5376395271292297196\/posts\/default\/8166611942924654000"},{"rel":"self","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/5376395271292297196\/posts\/default\/8166611942924654000"},{"rel":"alternate","type":"text/html","href":"http:\/\/www.estudarmatematica.pt\/2016\/10\/multiplicacao-de-potencias-com-mesma.html","title":"Multiplicação de potências com a mesma base e com o mesmo expoente"}],"author":[{"name":{"$t":"Filipe A"},"uri":{"$t":"http:\/\/www.blogger.com\/profile\/08129530978110568538"},"email":{"$t":"noreply@blogger.com"},"gd$image":{"rel":"http://schemas.google.com/g/2005#thumbnail","width":"16","height":"16","src":"https:\/\/img1.blogblog.com\/img\/b16-rounded.gif"}}],"media$thumbnail":{"xmlns$media":"http://search.yahoo.com/mrss/","url":"https:\/\/3.bp.blogspot.com\/-oUw1jyLOoNc\/WAZAerNnFLI\/AAAAAAAAD5g\/R6pHoS2V9ks96I4ml1bq_xE35Rkdv53lACLcB\/s72-c\/1.jpg","height":"72","width":"72"},"thr$total":{"$t":"1"}},{"id":{"$t":"tag:blogger.com,1999:blog-5376395271292297196.post-7429041652989517611"},"published":{"$t":"2016-07-18T08:38:00.000+01:00"},"updated":{"$t":"2016-07-18T08:44:20.535+01:00"},"category":[{"scheme":"http://www.blogger.com/atom/ns#","term":"curiosidades"}],"title":{"type":"text","$t":"Curiosidades matemáticas - o incrível nº 12345679"},"content":{"type":"html","$t":"\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EO número 12345679, que contém todos os algarismos, à exceção do zero e do oito, posicionados de forma consecutiva, pode numa situação tornar-se numa incrível curiosidade. Se multiplicarmos este número por todos os múltiplos de 9 maiores que zero e menores que 100, vê o que acontece:\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cbr \/\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Ca href=\"https:\/\/2.bp.blogspot.com\/-ESj23MBm4z8\/V4yIu1d5uFI\/AAAAAAAAD3g\/w7eM0Y2Jx9AQYXJBvNojPYuyyVJLpzutQCLcB\/s1600\/Sem%2BT%25C3%25ADtulo.png\" imageanchor=\"1\" style=\"margin-left: 1em; margin-right: 1em;\"\u003E\u003Cimg border=\"0\" height=\"270\" src=\"https:\/\/2.bp.blogspot.com\/-ESj23MBm4z8\/V4yIu1d5uFI\/AAAAAAAAD3g\/w7eM0Y2Jx9AQYXJBvNojPYuyyVJLpzutQCLcB\/s400\/Sem%2BT%25C3%25ADtulo.png\" width=\"400\" \/\u003E\u003C\/a\u003E\u003C\/div\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E12345679 × 9 = 111.111.111\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E12345679 × 18 = 222.222.222\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E12345679 × 27 = 333.333.333\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E12345679 × 36 = 444.444.444\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E12345679 × 45 = 555.555.555\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E12345679 × 54 = 666.666.666\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E12345679 × 63 = 777.777.777\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E12345679 × 72 = 888.888.888\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E12345679 × 81 = 999.999.999\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EConhece mais curiosidades matemáticas, desafios e charadas \u003Ca href=\"http:\/\/www.estudarmatematica.pt\/search\/label\/curiosidades\" rel=\"nofollow\"\u003EAQUI\u003C\/a\u003E.\u003C\/span\u003E\u003C\/div\u003E"},"link":[{"rel":"replies","type":"application/atom+xml","href":"http:\/\/www.estudarmatematica.pt\/feeds\/7429041652989517611\/comments\/default","title":"Enviar comentários"},{"rel":"replies","type":"text/html","href":"http:\/\/www.estudarmatematica.pt\/2016\/07\/curiosidades-matematicas-o-incrivel-n.html#comment-form","title":"1 Comentários"},{"rel":"edit","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/5376395271292297196\/posts\/default\/7429041652989517611"},{"rel":"self","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/5376395271292297196\/posts\/default\/7429041652989517611"},{"rel":"alternate","type":"text/html","href":"http:\/\/www.estudarmatematica.pt\/2016\/07\/curiosidades-matematicas-o-incrivel-n.html","title":"Curiosidades matemáticas - o incrível nº 12345679"}],"author":[{"name":{"$t":"Filipe A"},"uri":{"$t":"http:\/\/www.blogger.com\/profile\/08129530978110568538"},"email":{"$t":"noreply@blogger.com"},"gd$image":{"rel":"http://schemas.google.com/g/2005#thumbnail","width":"16","height":"16","src":"https:\/\/img1.blogblog.com\/img\/b16-rounded.gif"}}],"media$thumbnail":{"xmlns$media":"http://search.yahoo.com/mrss/","url":"https:\/\/2.bp.blogspot.com\/-ESj23MBm4z8\/V4yIu1d5uFI\/AAAAAAAAD3g\/w7eM0Y2Jx9AQYXJBvNojPYuyyVJLpzutQCLcB\/s72-c\/Sem%2BT%25C3%25ADtulo.png","height":"72","width":"72"},"thr$total":{"$t":"1"}},{"id":{"$t":"tag:blogger.com,1999:blog-5376395271292297196.post-1535521856035861034"},"published":{"$t":"2016-05-23T13:14:00.000+01:00"},"updated":{"$t":"2016-05-23T13:14:37.438+01:00"},"category":[{"scheme":"http://www.blogger.com/atom/ns#","term":"conjuntos numéricos"},{"scheme":"http://www.blogger.com/atom/ns#","term":"exercícios"},{"scheme":"http://www.blogger.com/atom/ns#","term":"fichas"},{"scheme":"http://www.blogger.com/atom/ns#","term":"números inteiros relativos"},{"scheme":"http://www.blogger.com/atom/ns#","term":"números racionais"},{"scheme":"http://www.blogger.com/atom/ns#","term":"números relativos"}],"title":{"type":"text","$t":"Ficha de trabalho - números inteiros relativos (com correção)"},"content":{"type":"html","$t":"\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003Cspan style=\"font-size: large;\"\u003ESe olharmos para uma reta numérica verificamos que esta inclui todos os números à esquerda e direita do zero. Assim, ao conjunto dos inteiros, ou seja, sem parte decimal, nas quais se integrem todos os números negativos, o zero e os números positivos, chamamos de conjunto dos números inteiros relativos. Para te ajudar a estudar este tema de matemática do 6º ano elaborámos uma ficha de trabalho com exercícios sobre números inteiros relativos, e a respetiva correção.\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E=\u0026gt;Para saberes mais sobre conjuntos numéricos, clica \u003Cb\u003E\u003Ca href=\"http:\/\/www.estudarmatematica.pt\/2013\/10\/conjunto-numericos.html\" rel=\"nofollow\" target=\"_blank\"\u003EAQUI\u003C\/a\u003E\u003C\/b\u003E.\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cb\u003E\u003Cbr \/\u003E\u003C\/b\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cb\u003E\u003Cbr \/\u003E\u003C\/b\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cb\u003EFicha de trabalho - números inteiros relativos\u003C\/b\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E(para ampliar clica em cima da imagem)\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Ca href=\"https:\/\/1.bp.blogspot.com\/-q2azjV5XC2Y\/Vz2DkwUudKI\/AAAAAAAAD3I\/VCL8XojPBTEO3ev7NPS22qJ7V-5vTm9KwCLcB\/s1600\/Ficha%2Bde%2BTrabalho%2Bn%25C3%25BAmeros%2Binteiros%2Brelativos.PNG\" imageanchor=\"1\" style=\"margin-left: 1em; margin-right: 1em;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cimg border=\"0\" height=\"640\" src=\"https:\/\/1.bp.blogspot.com\/-q2azjV5XC2Y\/Vz2DkwUudKI\/AAAAAAAAD3I\/VCL8XojPBTEO3ev7NPS22qJ7V-5vTm9KwCLcB\/s640\/Ficha%2Bde%2BTrabalho%2Bn%25C3%25BAmeros%2Binteiros%2Brelativos.PNG\" width=\"486\" \/\u003E\u003C\/span\u003E\u003C\/a\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003ECorreção\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003Cspan style=\"font-size: large;\"\u003E1.1\u0026nbsp;\u003C\/span\u003E\u003Cbr \/\u003E\u003Cspan style=\"font-size: large;\"\u003EGaivotas\u0026nbsp;+40\u003C\/span\u003E\u003Cbr \/\u003E\u003Cspan style=\"font-size: large;\"\u003Ebarco 0\u003C\/span\u003E\u003Cbr \/\u003E\u003Cspan style=\"font-size: large;\"\u003EEstrela do mar -10\u003C\/span\u003E\u003Cbr \/\u003E\u003Cspan style=\"font-size: large;\"\u003EPeixe -25\u003C\/span\u003E\u003Cbr \/\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003Cspan style=\"font-size: large;\"\u003E1.2\u0026nbsp;\u003C\/span\u003E\u003Cbr \/\u003E\u003Cspan style=\"font-size: large;\"\u003EGaivota -\u0026gt; |+40| = 40 --\u0026nbsp;\u003C\/span\u003E\u003Cspan style=\"font-size: large;\"\u003Eestá a 40 metros do nível da água do mar\u003C\/span\u003E\u003Cbr \/\u003E\u003Cspan style=\"font-size: large;\"\u003Ebarco -\u0026gt; 0\u003C\/span\u003E\u003Cbr \/\u003E\u003Cspan style=\"font-size: large;\"\u003EEstrela do mar -\u0026gt; |-10| = 10 --\u0026nbsp;\u003C\/span\u003E\u003Cspan style=\"font-size: large;\"\u003Eestá a 10 metros da superfície\u003C\/span\u003E\u003Cbr \/\u003E\u003Cspan style=\"font-size: large;\"\u003EPeixe -\u0026gt; |-25| = 25 -- está a 25 metros da superfície\u003C\/span\u003E\u003Cbr \/\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003Cspan style=\"font-size: large;\"\u003E1.3\u003C\/span\u003E\u003Cbr \/\u003E\u003Cspan style=\"font-size: large;\"\u003EValor absoluto.\u0026nbsp;\u003C\/span\u003E\u003Cbr \/\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003Cspan style=\"font-size: large;\"\u003E1.4\u003C\/span\u003E\u003Cbr \/\u003E\u003Cspan style=\"font-size: large;\"\u003E-(+40) = -10 -\u0026gt; o simétrico de\u0026nbsp;+40 é -40\u003C\/span\u003E\u003Cbr \/\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003Cspan style=\"font-size: large;\"\u003E1.5\u003C\/span\u003E\u003Cbr \/\u003E\u003Cspan style=\"font-size: large;\"\u003E40 - (-25) = 40\u0026nbsp;+ 25 = 65\u003C\/span\u003E\u003Cbr \/\u003E\u003Cspan style=\"font-size: large;\"\u003EA distância entre as gaivotas e o peixe é de 65 metros.\u003C\/span\u003E\u003Cbr \/\u003E\u003Cbr \/\u003E\u003C\/div\u003E"},"link":[{"rel":"replies","type":"application/atom+xml","href":"http:\/\/www.estudarmatematica.pt\/feeds\/1535521856035861034\/comments\/default","title":"Enviar comentários"},{"rel":"replies","type":"text/html","href":"http:\/\/www.estudarmatematica.pt\/2016\/05\/ficha-de-trabalho-numeros-inteiros.html#comment-form","title":"0 Comentários"},{"rel":"edit","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/5376395271292297196\/posts\/default\/1535521856035861034"},{"rel":"self","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/5376395271292297196\/posts\/default\/1535521856035861034"},{"rel":"alternate","type":"text/html","href":"http:\/\/www.estudarmatematica.pt\/2016\/05\/ficha-de-trabalho-numeros-inteiros.html","title":"Ficha de trabalho - números inteiros relativos (com correção)"}],"author":[{"name":{"$t":"Filipe A"},"uri":{"$t":"http:\/\/www.blogger.com\/profile\/08129530978110568538"},"email":{"$t":"noreply@blogger.com"},"gd$image":{"rel":"http://schemas.google.com/g/2005#thumbnail","width":"16","height":"16","src":"https:\/\/img1.blogblog.com\/img\/b16-rounded.gif"}}],"media$thumbnail":{"xmlns$media":"http://search.yahoo.com/mrss/","url":"https:\/\/1.bp.blogspot.com\/-q2azjV5XC2Y\/Vz2DkwUudKI\/AAAAAAAAD3I\/VCL8XojPBTEO3ev7NPS22qJ7V-5vTm9KwCLcB\/s72-c\/Ficha%2Bde%2BTrabalho%2Bn%25C3%25BAmeros%2Binteiros%2Brelativos.PNG","height":"72","width":"72"},"thr$total":{"$t":"0"}},{"id":{"$t":"tag:blogger.com,1999:blog-5376395271292297196.post-3016297288540655987"},"published":{"$t":"2016-05-16T14:27:00.000+01:00"},"updated":{"$t":"2016-05-16T14:27:25.848+01:00"},"category":[{"scheme":"http://www.blogger.com/atom/ns#","term":"estatística"},{"scheme":"http://www.blogger.com/atom/ns#","term":"exercícios"},{"scheme":"http://www.blogger.com/atom/ns#","term":"exercícios 5º ano"},{"scheme":"http://www.blogger.com/atom/ns#","term":"exercícios 6º ano"},{"scheme":"http://www.blogger.com/atom/ns#","term":"fichas"},{"scheme":"http://www.blogger.com/atom/ns#","term":"fichas para imprimir"}],"title":{"type":"text","$t":"Ficha de trabalho - média aritmética simples (com correção)"},"content":{"type":"html","$t":"\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EA média aritmética simples é um valor que representa a posição mais utilizada entre todos os dados considerados. De uma forma simples podemos dizer que a média expressa o valor que, após se somarem todos os dados, representa a sua distribuição equitativa. Imagina: se tu tens 4€, e outros dois colegas teus têm 5€ e 3€, ao somarem todo o dinheiro e o repartirem por igual, cada um fica com 4€. 4 é assim a média aritmética simples do conjunto de dados 4, 5 e 3.\u0026nbsp;\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EPodes saber mais sobre o que é e como se calcula a média aritmética simples \u003Ca href=\"http:\/\/www.estudarmatematica.pt\/2016\/04\/como-calcular-media-aritmetica-simples.html\" rel=\"nofollow\" target=\"_blank\"\u003E\u003Cb\u003EAQUI\u003C\/b\u003E\u003C\/a\u003E.\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EDe seguida podes encontrar uma ficha de trabalho com exercícios sobre a média aritmética simples, com respetiva correção, para treinares os teus conhecimentos.\u0026nbsp;\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cb\u003EFicha de Trabalho - média aritmética simples\u003C\/b\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E(para veres maior, basta clicar em cima da imagem)\u003Cbr \/\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Ca href=\"https:\/\/4.bp.blogspot.com\/-LvwUaEyFxoM\/VznCPQsTkVI\/AAAAAAAAD24\/6eRNUVRquJ88ng8a44ua6KY6vuQ36dH2QCLcB\/s1600\/Ficha%2Bde%2Btrabalho%2B-%2Bm%25C3%25A9dia%2Bartim%25C3%25A9tica%2Bsimples%2B%25281%2529.PNG\" imageanchor=\"1\" style=\"margin-left: 1em; margin-right: 1em;\"\u003E\u003Cimg alt=\"exercícios estatística - média\" border=\"0\" height=\"640\" src=\"https:\/\/4.bp.blogspot.com\/-LvwUaEyFxoM\/VznCPQsTkVI\/AAAAAAAAD24\/6eRNUVRquJ88ng8a44ua6KY6vuQ36dH2QCLcB\/s640\/Ficha%2Bde%2Btrabalho%2B-%2Bm%25C3%25A9dia%2Bartim%25C3%25A9tica%2Bsimples%2B%25281%2529.PNG\" title=\"ficha de trabalho - média aritmética simples\" width=\"465\" \/\u003E\u003C\/a\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cdiv style=\"text-align: center;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: center;\"\u003E(correção mais abaixo)\u003C\/div\u003E\u003Cbr \/\u003E\u003Cbr \/\u003E\u003Cbr \/\u003E\u003Cbr \/\u003E\u003Cbr \/\u003E\u003Cbr \/\u003E\u003Cbr \/\u003E\u003Cbr \/\u003E\u003Cbr \/\u003E\u003Cbr \/\u003E\u003Cbr \/\u003E\u003Cbr \/\u003E\u003Cbr \/\u003E\u003Cbr \/\u003E\u003Cbr \/\u003E\u003Cbr \/\u003E\u003Cbr \/\u003E\u003Cbr \/\u003E\u003Cbr \/\u003E\u003Cbr \/\u003E\u003Cbr \/\u003E\u003Cbr \/\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cb\u003ECorreção:\u003C\/b\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E1.1 - 20 alunos\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E1.2 - \u0026nbsp;Média = (12+10+11+11+10+11+10+11+10+12+10+11+13+10+9+10+11+11+11+10)\/20\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp;= 214\/20 = 10,7\u003Cbr \/\u003E\u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; ou\u003Cbr \/\u003E\u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; Média = (9 +\u0026nbsp;8x10\u0026nbsp;+ 8x11\u0026nbsp;+ 2x12\u0026nbsp;+ 13) \/ 20\u003Cbr \/\u003E\u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp;= (9\u0026nbsp;+ 80\u0026nbsp;+ 88\u0026nbsp;+ 24\u0026nbsp;+ 13) \/ 20 =\u003Cbr \/\u003E\u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp;= 214 \/ 20 = 10,7\u003Cbr \/\u003E\u003Cbr \/\u003E2.1 - Média = (67\u0026nbsp;+ 49\u0026nbsp;+ 56\u0026nbsp;+ 65) \/ 4 = 237 \/ 4 = 59,25\u003Cbr \/\u003E\u003Cbr \/\u003E2.2 - \u0026nbsp; \u0026nbsp; a) \u0026nbsp;Média = (67\u0026nbsp;+ 49\u0026nbsp;+ 56\u0026nbsp;+ 65 + 100) \/ 5 = 337 \/ 5 = 67,4\u003Cbr \/\u003E\u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp;Se tiver a nota máxima no 5º teste (100%), a média será de 67,4.\u003Cbr \/\u003E\u003Cbr \/\u003E\u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; b) Média = (67\u0026nbsp;+ 49\u0026nbsp;+ 56\u0026nbsp;+ 65 + 0) \/ 5 = 237 \/ 5 = 47,4\u003Cbr \/\u003E\u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; Se tiver a nota mínima no 5º teste (0%), a média será de 47,4.\u003Cbr \/\u003E\u003Cbr \/\u003E3.1 - \u0026nbsp; Média = (3x0\u0026nbsp;+ 4x1\u0026nbsp;+ 6x2\u0026nbsp;+ 2x3\u0026nbsp;+ 2x4) \/ 17\u003Cbr \/\u003E\u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; = (0\u0026nbsp;+ 4\u0026nbsp;+ 12 + 6\u0026nbsp;+ 8) \/17\u003Cbr \/\u003E\u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; = 30 \/ 17 = 1,76 (aprox)\u003Cbr \/\u003E\u003Cbr \/\u003E3.2 - \u0026nbsp; Média = 2 , logo, o número de golos total é 18 x 2 = 36.\u003Cbr \/\u003E\u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp;36 - 30= 6 \u0026nbsp;-\u0026gt; No último jogo, o Vermelhosa Futebol Clube marcou 6 golos.\u003Cbr \/\u003E\u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp;\u003C\/div\u003E"},"link":[{"rel":"replies","type":"application/atom+xml","href":"http:\/\/www.estudarmatematica.pt\/feeds\/3016297288540655987\/comments\/default","title":"Enviar comentários"},{"rel":"replies","type":"text/html","href":"http:\/\/www.estudarmatematica.pt\/2016\/05\/ficha-de-trabalho-media-aritmetica.html#comment-form","title":"0 Comentários"},{"rel":"edit","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/5376395271292297196\/posts\/default\/3016297288540655987"},{"rel":"self","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/5376395271292297196\/posts\/default\/3016297288540655987"},{"rel":"alternate","type":"text/html","href":"http:\/\/www.estudarmatematica.pt\/2016\/05\/ficha-de-trabalho-media-aritmetica.html","title":"Ficha de trabalho - média aritmética simples (com correção)"}],"author":[{"name":{"$t":"Filipe A"},"uri":{"$t":"http:\/\/www.blogger.com\/profile\/08129530978110568538"},"email":{"$t":"noreply@blogger.com"},"gd$image":{"rel":"http://schemas.google.com/g/2005#thumbnail","width":"16","height":"16","src":"https:\/\/img1.blogblog.com\/img\/b16-rounded.gif"}}],"media$thumbnail":{"xmlns$media":"http://search.yahoo.com/mrss/","url":"https:\/\/4.bp.blogspot.com\/-LvwUaEyFxoM\/VznCPQsTkVI\/AAAAAAAAD24\/6eRNUVRquJ88ng8a44ua6KY6vuQ36dH2QCLcB\/s72-c\/Ficha%2Bde%2Btrabalho%2B-%2Bm%25C3%25A9dia%2Bartim%25C3%25A9tica%2Bsimples%2B%25281%2529.PNG","height":"72","width":"72"},"thr$total":{"$t":"0"}},{"id":{"$t":"tag:blogger.com,1999:blog-5376395271292297196.post-5710646116981859551"},"published":{"$t":"2016-04-26T11:52:00.000+01:00"},"updated":{"$t":"2016-04-26T11:52:04.030+01:00"},"category":[{"scheme":"http://www.blogger.com/atom/ns#","term":"algoritmo"},{"scheme":"http://www.blogger.com/atom/ns#","term":"estatística"},{"scheme":"http://www.blogger.com/atom/ns#","term":"média"},{"scheme":"http://www.blogger.com/atom/ns#","term":"Números"}],"title":{"type":"text","$t":"Como calcular a média aritmética simples"},"content":{"type":"html","$t":"\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EPopularmente conhecida como média, esta medida tem como nome mais correto média aritmética simples. Mas o que é a média e como se calcula? Em baixo podes conhecer a definição de média aritmética simples, como a calcular, e ainda, alguns exemplos.\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cb\u003E\u003Cspan style=\"font-size: large;\"\u003EO que é a média aritmética simples\u003C\/span\u003E\u003C\/b\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EA média é basicamente uma medida que reflete a posição mais utilizada de todas. Uma forma muito simples de explicar é através do seguinte exemplo:\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\"Três amigos abriram uma garrafa de sumo e dividiram pelos três copos. No entanto, cada um ficou com uma quantidade diferente. A média é a medida que cada copo teria se tivessem dividido o sumo de forma igual por todos\".\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EÉ uma medida matemática muito útil no dia a dia, estando muito presente no nosso quotidiano e sendo entendida e usada por praticamente todas as pessoas.\u0026nbsp;\u003C\/span\u003E\u003Cspan style=\"font-size: large;\"\u003EPor exemplo, a média de golos do Cristiano Ronaldo numa época.\u003C\/span\u003E\u003Cspan style=\"font-size: large;\"\u003E\u0026nbsp;De seguida podes aprender como calcular a média aritmética simples.\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cb\u003E\u003Cspan style=\"font-size: large;\"\u003EComo calcular a média aritmética simples\u003C\/span\u003E\u003C\/b\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EA média aritmética de um conjunto de valores numéricos calcula-se da seguinte forma:\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003C\/div\u003E\u003Cul\u003E\u003Cli\u003E\u003Cspan style=\"font-size: large;\"\u003E1º passo: somar todos os valores do conjunto de números\u003C\/span\u003E\u003C\/li\u003E\u003Cli\u003E\u003Cspan style=\"font-size: large;\"\u003E2º passo: divide-se a soma anterior pelo número de elementos que foram somados, ou seja, pelo número de elementos que compõem o conjunto.\u003C\/span\u003E\u003C\/li\u003E\u003C\/ul\u003E\u003Cbr \/\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EEm linguagem matemática, diz-se que a média é igual ao quociente entre a soma de n números por n.\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Ca href=\"https:\/\/3.bp.blogspot.com\/-6TQxEcpYVQ8\/Vx9HIdaLkJI\/AAAAAAAAD2Q\/aR6tv-fQCVQ_kA_Mu8f093kOs7x3amqegCLcB\/s1600\/m%25C3%25A9dia.gif\" imageanchor=\"1\" style=\"margin-left: 1em; margin-right: 1em;\"\u003E\u003Cimg alt=\"como calcular a média\" border=\"0\" height=\"138\" src=\"https:\/\/3.bp.blogspot.com\/-6TQxEcpYVQ8\/Vx9HIdaLkJI\/AAAAAAAAD2Q\/aR6tv-fQCVQ_kA_Mu8f093kOs7x3amqegCLcB\/s200\/m%25C3%25A9dia.gif\" title=\"média aritmética simples fórmula\" width=\"200\" \/\u003E\u003C\/a\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cu\u003E\u003Cspan style=\"font-size: large;\"\u003EExemplos práticos:\u003C\/span\u003E\u003C\/u\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E1 - Num grupo de cinco alunos, as idades são as seguintes: 10, 10, 11, 10 e 12. Qual a média de idades deste grupo?\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003Emédia = (10\u0026nbsp;+ 10\u0026nbsp;+ 11\u0026nbsp;+ 10\u0026nbsp;+ 12) \/ 5 = 53\/5 = 10,6\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E2 - O jogador Rúben Almeida fez 35 jogos durante a temporada, nos quais marcou 21 golos. Qual a média de golos por jogo deste jogador?\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003Emédia = 21 \/ 35 = 0,6\u0026nbsp;\u003C\/span\u003E\u003C\/div\u003E"},"link":[{"rel":"replies","type":"application/atom+xml","href":"http:\/\/www.estudarmatematica.pt\/feeds\/5710646116981859551\/comments\/default","title":"Enviar comentários"},{"rel":"replies","type":"text/html","href":"http:\/\/www.estudarmatematica.pt\/2016\/04\/como-calcular-media-aritmetica-simples.html#comment-form","title":"0 Comentários"},{"rel":"edit","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/5376395271292297196\/posts\/default\/5710646116981859551"},{"rel":"self","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/5376395271292297196\/posts\/default\/5710646116981859551"},{"rel":"alternate","type":"text/html","href":"http:\/\/www.estudarmatematica.pt\/2016\/04\/como-calcular-media-aritmetica-simples.html","title":"Como calcular a média aritmética simples"}],"author":[{"name":{"$t":"Filipe A"},"uri":{"$t":"http:\/\/www.blogger.com\/profile\/08129530978110568538"},"email":{"$t":"noreply@blogger.com"},"gd$image":{"rel":"http://schemas.google.com/g/2005#thumbnail","width":"16","height":"16","src":"https:\/\/img1.blogblog.com\/img\/b16-rounded.gif"}}],"media$thumbnail":{"xmlns$media":"http://search.yahoo.com/mrss/","url":"https:\/\/3.bp.blogspot.com\/-6TQxEcpYVQ8\/Vx9HIdaLkJI\/AAAAAAAAD2Q\/aR6tv-fQCVQ_kA_Mu8f093kOs7x3amqegCLcB\/s72-c\/m%25C3%25A9dia.gif","height":"72","width":"72"},"thr$total":{"$t":"0"}},{"id":{"$t":"tag:blogger.com,1999:blog-5376395271292297196.post-3336846091240473384"},"published":{"$t":"2016-03-01T12:25:00.002+00:00"},"updated":{"$t":"2016-10-23T11:36:02.633+01:00"},"category":[{"scheme":"http://www.blogger.com/atom/ns#","term":"divisores"},{"scheme":"http://www.blogger.com/atom/ns#","term":"fichas"},{"scheme":"http://www.blogger.com/atom/ns#","term":"fichas para imprimir"},{"scheme":"http://www.blogger.com/atom/ns#","term":"mdc"},{"scheme":"http://www.blogger.com/atom/ns#","term":"mmc"},{"scheme":"http://www.blogger.com/atom/ns#","term":"múltiplos"},{"scheme":"http://www.blogger.com/atom/ns#","term":"Números"},{"scheme":"http://www.blogger.com/atom/ns#","term":"operações"}],"title":{"type":"text","$t":"Ficha de trabalho - Múltiplos, divisores, mmc e mdc (com correção)"},"content":{"type":"html","$t":"\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EAqui podes encontrar uma ficha de trabalho sobre números e operações (múltiplos, divisores, mmc e mdc), com respetiva correção, para treinares os teus conhecimentos.\u0026nbsp;\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EAntes de fazeres a ficha, sugerimos a leitura dos seguintes artigos, que te vão ajudar a perceber melhor os conteúdos:\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E- \u003Ca href=\"http:\/\/www.estudarmatematica.pt\/2014\/01\/o-que-sao-divisores-de-um-numero.html\" rel=\"nofollow\" target=\"_blank\"\u003EO que são divisores de um número\u003C\/a\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E- \u003Ca href=\"http:\/\/www.estudarmatematica.pt\/2013\/11\/como-calcular-o-mdc-maximo-divisor-comum.html\" target=\"_blank\"\u003EComo calcular o mdc (máximo divisor comum)\u003C\/a\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E- \u003Ca href=\"http:\/\/www.estudarmatematica.pt\/2013\/11\/decomposicao-de-um-numero-em-fatores.html\" rel=\"nofollow\" target=\"_blank\"\u003EDecomposição de um número de fatores primos\u003C\/a\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E- \u003Ca href=\"http:\/\/www.estudarmatematica.pt\/2014\/01\/o-que-sao-multiplos-de-um-numero.html\" rel=\"nofollow\" target=\"_blank\"\u003EO que são múltiplos de um número\u003C\/a\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E- \u003Ca href=\"http:\/\/www.estudarmatematica.pt\/2013\/12\/como-calcular-o-mmc-minimo-multiplo.html\" rel=\"nofollow\" target=\"_blank\"\u003EComo calcular o mmc (mínimo múltiplo comum)\u003C\/a\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cb\u003EFicha de Trabalho - múltiplos, divisores, mmc e mdc\u003C\/b\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E(para veres maior, basta clicar em cima da imagem)\u003C\/div\u003E\u003Cbr \/\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Ca href=\"https:\/\/3.bp.blogspot.com\/-CKMsr976xvw\/VtWI1MrXFsI\/AAAAAAAAD0I\/UBPcuYoJMOg\/s1600\/ficha%2Bmultiplos%252C%2Bdivisiores%252C%2Bmmc%2Be%2Bmdc.PNG\" imageanchor=\"1\" style=\"margin-left: 1em; margin-right: 1em;\"\u003E\u003Cimg border=\"0\" height=\"640\" src=\"https:\/\/3.bp.blogspot.com\/-CKMsr976xvw\/VtWI1MrXFsI\/AAAAAAAAD0I\/UBPcuYoJMOg\/s640\/ficha%2Bmultiplos%252C%2Bdivisiores%252C%2Bmmc%2Be%2Bmdc.PNG\" width=\"484\" \/\u003E\u003C\/a\u003E\u003C\/div\u003E\u003Cbr \/\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cb\u003E\u003Cbr \/\u003E\u003C\/b\u003E\u003C\/span\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cb\u003ECorreção\u003C\/b\u003E\u003C\/span\u003E\u003Cbr \/\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cb\u003E\u003Cbr \/\u003E\u003C\/b\u003E\u003C\/span\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cb\u003E\u003Cbr \/\u003E\u003C\/b\u003E\u003C\/span\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cb\u003E\u003Cbr \/\u003E\u003C\/b\u003E\u003C\/span\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cb\u003E\u003Cbr \/\u003E\u003C\/b\u003E\u003C\/span\u003E\u003Cspan style=\"font-size: medium;\"\u003E\u003Cb\u003E\u003Cbr \/\u003E\u003C\/b\u003E\u003C\/span\u003E\u003Cspan style=\"font-size: medium;\"\u003E1-\u0026nbsp;\u003C\/span\u003E\u003Cbr \/\u003E\u003Cspan style=\"font-size: medium;\"\u003EM4 = {0, 4, 8, 12, 16, ...}\u003C\/span\u003E\u003Cbr \/\u003E\u003Cspan style=\"font-size: medium;\"\u003EM7 = {0, 7, 14, 21, 28, ...}\u003C\/span\u003E\u003Cbr \/\u003E\u003Cspan style=\"font-size: medium;\"\u003ED12 = {1, 2, 3, 4, 6, 12}\u003C\/span\u003E\u003Cbr \/\u003E\u003Cspan style=\"font-size: medium;\"\u003ED24 = {1, 2, 3, 4, 6, 8, 12, 24}\u003C\/span\u003E\u003Cbr \/\u003E\u003Cspan style=\"font-size: medium;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003Cspan style=\"font-size: medium;\"\u003E2 - V, F, V, F\u003C\/span\u003E\u003Cbr \/\u003E\u003Cspan style=\"font-size: medium;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003Cspan style=\"font-size: medium;\"\u003E3 -\u0026nbsp;\u003C\/span\u003E\u003Cbr \/\u003E\u003Cspan style=\"font-size: medium;\"\u003Emmc (14, 16) = 112\u003C\/span\u003E\u003Cbr \/\u003E\u003Cspan style=\"font-size: medium;\"\u003Emdc (32, 40) = 8\u003C\/span\u003E\u003Cbr \/\u003E\u003Cspan style=\"font-size: medium;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003Cspan style=\"font-size: medium;\"\u003E4 -\u0026nbsp;\u003C\/span\u003E\u003Cbr \/\u003E\u003Cspan style=\"font-size: medium;\"\u003Ea) 2, 3, 23, 29, 43\u003C\/span\u003E\u003Cbr \/\u003E\u003Cspan style=\"font-size: medium;\"\u003Eb) 3, 15, 21, 123, 1008\u003C\/span\u003E\u003Cbr \/\u003E\u003Cspan style=\"font-size: medium;\"\u003Ec) 1008\u003C\/span\u003E\u003Cbr \/\u003E\u003Cspan style=\"font-size: medium;\"\u003Ed) 1008\u003C\/span\u003E\u003Cbr \/\u003E\u003Cspan style=\"font-size: medium;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003Cspan style=\"font-size: medium;\"\u003E5-\u0026nbsp;\u003C\/span\u003E\u003Cbr \/\u003E\u003Cspan style=\"font-size: medium;\"\u003E5.1 - mdc (28, 35) = 7 R:. Vai utilizar 7 embalagens\u003C\/span\u003E\u003Cbr \/\u003E\u003Cspan style=\"font-size: medium;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003Cspan style=\"font-size: medium;\"\u003E5.2 -\u0026nbsp;\u003C\/span\u003E\u003Cbr \/\u003E\u003Cspan style=\"font-size: medium;\"\u003E28:7 = 4 colares\u003C\/span\u003E\u003Cbr \/\u003E\u003Cspan style=\"font-size: medium;\"\u003E35:7 = 5 pulseiras\u003C\/span\u003E"},"link":[{"rel":"replies","type":"application/atom+xml","href":"http:\/\/www.estudarmatematica.pt\/feeds\/3336846091240473384\/comments\/default","title":"Enviar comentários"},{"rel":"replies","type":"text/html","href":"http:\/\/www.estudarmatematica.pt\/2016\/03\/ficha-de-trabalho-multiplos-divisores.html#comment-form","title":"0 Comentários"},{"rel":"edit","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/5376395271292297196\/posts\/default\/3336846091240473384"},{"rel":"self","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/5376395271292297196\/posts\/default\/3336846091240473384"},{"rel":"alternate","type":"text/html","href":"http:\/\/www.estudarmatematica.pt\/2016\/03\/ficha-de-trabalho-multiplos-divisores.html","title":"Ficha de trabalho - Múltiplos, divisores, mmc e mdc (com correção)"}],"author":[{"name":{"$t":"Filipe A"},"uri":{"$t":"http:\/\/www.blogger.com\/profile\/08129530978110568538"},"email":{"$t":"noreply@blogger.com"},"gd$image":{"rel":"http://schemas.google.com/g/2005#thumbnail","width":"16","height":"16","src":"https:\/\/img1.blogblog.com\/img\/b16-rounded.gif"}}],"media$thumbnail":{"xmlns$media":"http://search.yahoo.com/mrss/","url":"https:\/\/3.bp.blogspot.com\/-CKMsr976xvw\/VtWI1MrXFsI\/AAAAAAAAD0I\/UBPcuYoJMOg\/s72-c\/ficha%2Bmultiplos%252C%2Bdivisiores%252C%2Bmmc%2Be%2Bmdc.PNG","height":"72","width":"72"},"thr$total":{"$t":"0"}},{"id":{"$t":"tag:blogger.com,1999:blog-5376395271292297196.post-3533192688498173930"},"published":{"$t":"2016-02-10T15:48:00.000+00:00"},"updated":{"$t":"2016-02-10T15:48:25.753+00:00"},"category":[{"scheme":"http://www.blogger.com/atom/ns#","term":"geometria"},{"scheme":"http://www.blogger.com/atom/ns#","term":"poliedros"},{"scheme":"http://www.blogger.com/atom/ns#","term":"poliedros convexos"},{"scheme":"http://www.blogger.com/atom/ns#","term":"Relação de Euler"},{"scheme":"http://www.blogger.com/atom/ns#","term":"relações e regularidades"}],"title":{"type":"text","$t":"Relação de Euler"},"content":{"type":"html","$t":"\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EA Relação de Euler é uma correspondência entre faces, arestas e vértices de um poliedro, descoberta pelo matemático suíço Leonhard Euler (1707 a 1783). Este matemático descobriu que os elementos de um qualquer poliedro convexo tinham uma relação entre si. Aqui podes aprender o que é a Relação de Euler e conhecer alguns exemplos práticos para perceberes mais facilmente.\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cb\u003ERelação de Euler - definição e exemplos práticos\u003C\/b\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EComo referimos em cima, a Relação de Euler é uma relação entre os três elementos de um poliedro convexo (arestas, faces e vértices). Mas antes de chegarmos à fórmula, deves relembrar alguns conceitos essenciais:\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E- \u003Cu\u003Epoliedro\u003C\/u\u003E: sólido formado apenas por faces planas.\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E- \u003Cu\u003Epoliedro convexo\u003C\/u\u003E: sólido formado por faces planas e que não formam nenhuma concavidade.\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E- \u003Cu\u003Earesta\u003C\/u\u003E: reta formada pelo encontro de duas faces do poliedro.\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E- \u003Cu\u003Eface\u003C\/u\u003E: a face é uma das superfícies do poliedro, delimitado por arestas.\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E- \u003Cu\u003Evértice\u003C\/u\u003E: ponto formado pelo cruzamento de duas arestas.\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EPor exemplo, o cubo é um poliedro convexo, com 12 arestas, 8 vértices e 6 faces.\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Ca href=\"https:\/\/4.bp.blogspot.com\/-vOcFhlP8fHA\/VrtZgg-w5KI\/AAAAAAAADxQ\/D5vwXu9wtoc\/s1600\/cubo.png\" imageanchor=\"1\" style=\"margin-left: 1em; margin-right: 1em;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cimg border=\"0\" height=\"279\" src=\"https:\/\/4.bp.blogspot.com\/-vOcFhlP8fHA\/VrtZgg-w5KI\/AAAAAAAADxQ\/D5vwXu9wtoc\/s320\/cubo.png\" width=\"320\" \/\u003E\u003C\/span\u003E\u003C\/a\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EAgora, para perceber a relação que existe entre os vários elementos de um poliedro convexo, vamos usar os exemplos da pirâmide triangular regular, o tetraedro, e do cubo.\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EO tetraedro tem 6 arestas, 4 vértices e 4 faces.\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Ca href=\"https:\/\/4.bp.blogspot.com\/-2or-n9qhAso\/VHcGrBgrNTI\/AAAAAAAACtc\/E3E-lvltQEs\/s1600\/tetraedro.gif\" imageanchor=\"1\" style=\"margin-left: 1em; margin-right: 1em;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cimg border=\"0\" height=\"200\" src=\"https:\/\/4.bp.blogspot.com\/-2or-n9qhAso\/VHcGrBgrNTI\/AAAAAAAACtc\/E3E-lvltQEs\/s200\/tetraedro.gif\" width=\"200\" \/\u003E\u003C\/span\u003E\u003C\/a\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EJá o cubo tem 12 arestas, 8 vértices e 6 faces.\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Ca href=\"https:\/\/2.bp.blogspot.com\/-33nCyfTzqcI\/VHcGqLSvpkI\/AAAAAAAACtM\/H97olqCLNDw\/s1600\/cubo.gif\" imageanchor=\"1\" style=\"margin-left: 1em; margin-right: 1em;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cimg border=\"0\" height=\"200\" src=\"https:\/\/2.bp.blogspot.com\/-33nCyfTzqcI\/VHcGqLSvpkI\/AAAAAAAACtM\/H97olqCLNDw\/s200\/cubo.gif\" width=\"200\" \/\u003E\u003C\/span\u003E\u003C\/a\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003ESe procurasses com atenção, verias que existe uma relação entre o número de vértices e de faces, e o número de arestas. Ora vê:\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003ETetraedro =\u0026gt; 4 V e 4 F \u0026lt;= =\u0026gt; 8 A\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003ECubo =\u0026gt; 8 V e 6 F \u0026lt;= =\u0026gt; 12 A\u0026nbsp;\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003ESe somarmos em ambos os casos o número de vértices e o número de faces verás que em ambos os casos a soma é igual ao número de arestas mais dois.\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003ETetraedro =\u0026gt; 4 V +\u0026nbsp;4 F = 8 A\u0026nbsp;+ 2\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003ECubo =\u0026gt; 8 V\u0026nbsp;+ 6 F = 12 A\u0026nbsp;+ 2\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003ESe experimentares esta relação em outros poliedros convexos verás que ela irá manter-se sempre. Assim, podemos chegar a uma fórmula geral:\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cb style=\"background-color: #fff2cc;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EV + F = A + 2\u003C\/span\u003E\u003C\/b\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EEsta é a fórmula que representa a \u003Cb\u003ERelação de Euler\u003C\/b\u003E.\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E"},"link":[{"rel":"replies","type":"application/atom+xml","href":"http:\/\/www.estudarmatematica.pt\/feeds\/3533192688498173930\/comments\/default","title":"Enviar comentários"},{"rel":"replies","type":"text/html","href":"http:\/\/www.estudarmatematica.pt\/2016\/02\/relacao-de-euler.html#comment-form","title":"0 Comentários"},{"rel":"edit","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/5376395271292297196\/posts\/default\/3533192688498173930"},{"rel":"self","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/5376395271292297196\/posts\/default\/3533192688498173930"},{"rel":"alternate","type":"text/html","href":"http:\/\/www.estudarmatematica.pt\/2016\/02\/relacao-de-euler.html","title":"Relação de Euler"}],"author":[{"name":{"$t":"Filipe A"},"uri":{"$t":"http:\/\/www.blogger.com\/profile\/08129530978110568538"},"email":{"$t":"noreply@blogger.com"},"gd$image":{"rel":"http://schemas.google.com/g/2005#thumbnail","width":"16","height":"16","src":"https:\/\/img1.blogblog.com\/img\/b16-rounded.gif"}}],"media$thumbnail":{"xmlns$media":"http://search.yahoo.com/mrss/","url":"https:\/\/4.bp.blogspot.com\/-vOcFhlP8fHA\/VrtZgg-w5KI\/AAAAAAAADxQ\/D5vwXu9wtoc\/s72-c\/cubo.png","height":"72","width":"72"},"thr$total":{"$t":"0"}},{"id":{"$t":"tag:blogger.com,1999:blog-5376395271292297196.post-4610005821698669433"},"published":{"$t":"2016-01-14T22:49:00.000+00:00"},"updated":{"$t":"2016-01-14T22:49:22.415+00:00"},"category":[{"scheme":"http://www.blogger.com/atom/ns#","term":"algoritmo"},{"scheme":"http://www.blogger.com/atom/ns#","term":"como fazer"},{"scheme":"http://www.blogger.com/atom/ns#","term":"divisão"},{"scheme":"http://www.blogger.com/atom/ns#","term":"Números"}],"title":{"type":"text","$t":"Como fazer \"contas de dividir\" com 2 algarismos no divisor"},"content":{"type":"html","$t":"\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EEntre as várias operações básicas, aquela onde os alunos têm maior dificuldade é a divisão. E quantos mais algarismos tiver o divisor, maior as dificuldades os alunos sentem. Já mostrámos \u003Cb\u003E\u003Ca href=\"http:\/\/www.estudarmatematica.pt\/2013\/11\/como-fazer-contas-de-dividir-passo-passo.html\" rel=\"nofollow\" target=\"_blank\"\u003EAQUI\u003C\/a\u003E\u003C\/b\u003E como realizar uma divisão exata, com resto zero, passo a passo e com imagens. Neste artigo poderás aprender, também com imagens e passo a passo, como fazer “contas de dividir” com 2 ou mais algarismos no divisor.\u0026nbsp;\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EMas antes de passarmos à nossa explicação, é essencial que conheças os elementos básicos da divisão. É importante saberes todos os nomes corretos para perceberes quando os usarmos no nosso tutorial de como fazer divisões com 2 ou mais algarismos na chave.\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Ca href=\"http:\/\/3.bp.blogspot.com\/-fk-fNeY1qWM\/VpgkC5eDLGI\/AAAAAAAADrs\/UzrMXVvAjkQ\/s1600\/elementos%2Bda%2Bdivis%25C3%25A3o.png\" imageanchor=\"1\" style=\"margin-left: 1em; margin-right: 1em;\"\u003E\u003Cimg border=\"0\" height=\"137\" src=\"http:\/\/3.bp.blogspot.com\/-fk-fNeY1qWM\/VpgkC5eDLGI\/AAAAAAAADrs\/UzrMXVvAjkQ\/s320\/elementos%2Bda%2Bdivis%25C3%25A3o.png\" width=\"320\" \/\u003E\u003C\/a\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cb\u003EComo fazer \"contas\" de dividir com 2 algarismos\u003C\/b\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003C\/div\u003E\u003Cul\u003E\u003Cli\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cu\u003E1º Passo\u003C\/u\u003E\u003C\/span\u003E\u003C\/li\u003E\u003C\/ul\u003E\u003Cbr \/\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cu\u003E\u003Cbr \/\u003E\u003C\/u\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EMarcar no dividendo o menor número possível maior ou igual ao divisor.\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Ca href=\"http:\/\/3.bp.blogspot.com\/-vz3IDyZ6ZjY\/VpgkLVVQ-YI\/AAAAAAAADr0\/qB8OoKlA6B0\/s1600\/1.png\" imageanchor=\"1\" style=\"margin-left: 1em; margin-right: 1em;\"\u003E\u003Cimg border=\"0\" src=\"http:\/\/3.bp.blogspot.com\/-vz3IDyZ6ZjY\/VpgkLVVQ-YI\/AAAAAAAADr0\/qB8OoKlA6B0\/s1600\/1.png\" \/\u003E\u003C\/a\u003E\u003C\/div\u003E\u003Cbr \/\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003C\/div\u003E\u003Cbr \/\u003E\u003Cul\u003E\u003Cli\u003E\u003Cu\u003E\u0026nbsp;\u003Cspan style=\"font-size: large; text-align: justify;\"\u003E2º Passo\u003C\/span\u003E\u003C\/u\u003E\u003C\/li\u003E\u003C\/ul\u003E\u003Cbr \/\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cu\u003E\u003Cbr \/\u003E\u003C\/u\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EEm 121, quantas vezes cabe o 14? Para descobrires o número que multiplicado por 14 dê 121 ou o número que seja o mais próximo possível de 121 (neste caso tem de ser inferior e nunca superior a 121). Para descobrires esse número, faz os cálculos ao lado, com tentativas. Por exemplo, 14X7=98. Ainda está longe. 14X8=112. Já está mais perto. 14X9=126. Terá de ser o 8.\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Ca href=\"http:\/\/4.bp.blogspot.com\/-jEF-DYoQNag\/VpgkLeoLj7I\/AAAAAAAADsE\/coH71axcbmA\/s1600\/2.png\" imageanchor=\"1\" style=\"margin-left: 1em; margin-right: 1em;\"\u003E\u003Cimg border=\"0\" src=\"http:\/\/4.bp.blogspot.com\/-jEF-DYoQNag\/VpgkLeoLj7I\/AAAAAAAADsE\/coH71axcbmA\/s1600\/2.png\" \/\u003E\u003C\/a\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003C\/div\u003E\u003Cul\u003E\u003Cli\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cu\u003E3º Passo\u003C\/u\u003E\u003C\/span\u003E\u003C\/li\u003E\u003C\/ul\u003E\u003Cbr \/\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cu\u003E\u003Cbr \/\u003E\u003C\/u\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EMultiplica-se 8 pelo divisor (14), e subtrai-se o resultado a 121. 121-112 = 9. Coloca-se a diferença por baixo do 121 encostado à direita).\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Ca href=\"http:\/\/2.bp.blogspot.com\/-Xp2qWGMkCQs\/VpgkLc75p9I\/AAAAAAAADso\/YYSIUexIl84\/s1600\/3.png\" imageanchor=\"1\" style=\"margin-left: 1em; margin-right: 1em;\"\u003E\u003Cimg border=\"0\" src=\"http:\/\/2.bp.blogspot.com\/-Xp2qWGMkCQs\/VpgkLc75p9I\/AAAAAAAADso\/YYSIUexIl84\/s1600\/3.png\" \/\u003E\u003C\/a\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003C\/div\u003E\u003Cul\u003E\u003Cli\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cu\u003E4º Passo\u003C\/u\u003E\u003C\/span\u003E\u003C\/li\u003E\u003C\/ul\u003E\u003Cbr \/\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cu\u003E\u003Cbr \/\u003E\u003C\/u\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EBaixa-se o algarismo seguinte do dividendo.\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Ca href=\"http:\/\/3.bp.blogspot.com\/-0Ho8Vnws8o0\/VpgkLtLzR5I\/AAAAAAAADs8\/TejQ9aFZxhg\/s1600\/4.png\" imageanchor=\"1\" style=\"margin-left: 1em; margin-right: 1em;\"\u003E\u003Cimg border=\"0\" src=\"http:\/\/3.bp.blogspot.com\/-0Ho8Vnws8o0\/VpgkLtLzR5I\/AAAAAAAADs8\/TejQ9aFZxhg\/s1600\/4.png\" \/\u003E\u003C\/a\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003C\/div\u003E\u003Cul\u003E\u003Cli\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cu\u003E5º Passo\u003C\/u\u003E\u003C\/span\u003E\u003C\/li\u003E\u003C\/ul\u003E\u003Cbr \/\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cu\u003E\u003Cbr \/\u003E\u003C\/u\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003ERepetir os passos 2 e 3. Em 91 quantas vezes há 14? Volta-se a tentar várias opções ao lado. 14X4=56, 14X5=70, 14X6=84. Multiplica-se então 6 por 14, e coloca-se a diferença por baixo. 91-84=7\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Ca href=\"http:\/\/4.bp.blogspot.com\/-3JHULthFxTg\/VpgkMFtEj0I\/AAAAAAAADsg\/USGwiEm2D1M\/s1600\/6.png\" imageanchor=\"1\" style=\"margin-left: 1em; margin-right: 1em;\"\u003E\u003Cimg border=\"0\" src=\"http:\/\/4.bp.blogspot.com\/-3JHULthFxTg\/VpgkMFtEj0I\/AAAAAAAADsg\/USGwiEm2D1M\/s1600\/6.png\" \/\u003E\u003C\/a\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003C\/div\u003E\u003Cul\u003E\u003Cli\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cu\u003E6º Passo\u003C\/u\u003E\u003C\/span\u003E\u003C\/li\u003E\u003C\/ul\u003E\u003Cbr \/\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cu\u003E\u003Cbr \/\u003E\u003C\/u\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003ESe após teres baixado todos os algarismos do dividendo, o resto não for ainda igual a zero, deves então colocar então uma vírgula a seguir ao dividendo, e acrescentar um zero. De seguida deves baixar esse zero.\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Ca href=\"http:\/\/3.bp.blogspot.com\/-EebQ7CHp0gc\/VpgkMCfZGII\/AAAAAAAADs0\/wfyD5cQ9o0g\/s1600\/7.png\" imageanchor=\"1\" style=\"margin-left: 1em; margin-right: 1em;\"\u003E\u003Cimg border=\"0\" src=\"http:\/\/3.bp.blogspot.com\/-EebQ7CHp0gc\/VpgkMCfZGII\/AAAAAAAADs0\/wfyD5cQ9o0g\/s1600\/7.png\" \/\u003E\u003C\/a\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003C\/div\u003E\u003Cul\u003E\u003Cli\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cu\u003E7º Passo\u003C\/u\u003E\u003C\/span\u003E\u003C\/li\u003E\u003C\/ul\u003E\u003Cbr \/\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cu\u003E\u003Cbr \/\u003E\u003C\/u\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003ERepetir os passos 2 e 3. Em 70 quantas vezes há 14? Tentas ao lado, multiplicando 14 por vários números. O número será o 5. Multiplica-se 5 por 14 e coloca-se a diferença em baixo.\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Ca href=\"http:\/\/2.bp.blogspot.com\/-NifvkoFgJug\/VpgkMl3c3sI\/AAAAAAAADs4\/-6jt5MC8ZS4\/s1600\/9.png\" imageanchor=\"1\" style=\"margin-left: 1em; margin-right: 1em;\"\u003E\u003Cimg border=\"0\" src=\"http:\/\/2.bp.blogspot.com\/-NifvkoFgJug\/VpgkMl3c3sI\/AAAAAAAADs4\/-6jt5MC8ZS4\/s1600\/9.png\" \/\u003E\u003C\/a\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003C\/div\u003E\u003Cul\u003E\u003Cli\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cu\u003E8º Passo\u003C\/u\u003E\u003C\/span\u003E\u003C\/li\u003E\u003C\/ul\u003E\u003Cbr \/\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EDepois de teres alcançado resto zero, se existirem casas decimais no dividendo e\/ou no divisor, vais ter que colocar essas casas decimais no quociente. Para saber como colocar a vírgula no quociente, clica \u003Cb\u003E\u003Ca href=\"http:\/\/www.estudarmatematica.pt\/2013\/11\/como-colocar-virgula-no-quociente.html\" rel=\"nofollow\" target=\"_blank\"\u003EAQUI\u003C\/a\u003E\u003C\/b\u003E.\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Ca href=\"http:\/\/1.bp.blogspot.com\/-tfca11ORvVs\/VpgkNP9SkZI\/AAAAAAAADss\/wZLDohVnhic\/s1600\/91.png\" imageanchor=\"1\" style=\"margin-left: 1em; margin-right: 1em;\"\u003E\u003Cimg border=\"0\" src=\"http:\/\/1.bp.blogspot.com\/-tfca11ORvVs\/VpgkNP9SkZI\/AAAAAAAADss\/wZLDohVnhic\/s1600\/91.png\" \/\u003E\u003C\/a\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Ca href=\"http:\/\/feeds.feedburner.com\/EstudarMatemtica\" rel=\"nofollow\" target=\"_blank\"\u003E\u003Cbr \/\u003E\u003C\/a\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Ca href=\"http:\/\/feeds.feedburner.com\/EstudarMatemtica\" rel=\"nofollow\" target=\"_blank\"\u003EClica aqui para subscreveres \"Estudar Matemática\" e recebe todos os novos artigos no teu mail (tens de confirmar clicando no link que te enviarão para mail)\u003C\/a\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E"},"link":[{"rel":"replies","type":"application/atom+xml","href":"http:\/\/www.estudarmatematica.pt\/feeds\/4610005821698669433\/comments\/default","title":"Enviar comentários"},{"rel":"replies","type":"text/html","href":"http:\/\/www.estudarmatematica.pt\/2016\/01\/como-fazer-contas-de-dividir-com-2.html#comment-form","title":"44 Comentários"},{"rel":"edit","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/5376395271292297196\/posts\/default\/4610005821698669433"},{"rel":"self","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/5376395271292297196\/posts\/default\/4610005821698669433"},{"rel":"alternate","type":"text/html","href":"http:\/\/www.estudarmatematica.pt\/2016\/01\/como-fazer-contas-de-dividir-com-2.html","title":"Como fazer \"contas de dividir\" com 2 algarismos no divisor"}],"author":[{"name":{"$t":"Filipe A"},"uri":{"$t":"http:\/\/www.blogger.com\/profile\/08129530978110568538"},"email":{"$t":"noreply@blogger.com"},"gd$image":{"rel":"http://schemas.google.com/g/2005#thumbnail","width":"16","height":"16","src":"https:\/\/img1.blogblog.com\/img\/b16-rounded.gif"}}],"media$thumbnail":{"xmlns$media":"http://search.yahoo.com/mrss/","url":"http:\/\/3.bp.blogspot.com\/-fk-fNeY1qWM\/VpgkC5eDLGI\/AAAAAAAADrs\/UzrMXVvAjkQ\/s72-c\/elementos%2Bda%2Bdivis%25C3%25A3o.png","height":"72","width":"72"},"thr$total":{"$t":"44"}},{"id":{"$t":"tag:blogger.com,1999:blog-5376395271292297196.post-4861037602703943475"},"published":{"$t":"2016-01-04T12:58:00.000+00:00"},"updated":{"$t":"2016-01-04T13:02:27.022+00:00"},"category":[{"scheme":"http://www.blogger.com/atom/ns#","term":"fichas"},{"scheme":"http://www.blogger.com/atom/ns#","term":"testes 6º ano"},{"scheme":"http://www.blogger.com/atom/ns#","term":"Volumes"},{"scheme":"http://www.blogger.com/atom/ns#","term":"áreas"}],"title":{"type":"text","$t":"Ficha de avaliação - áreas e volumes 6º ano"},"content":{"type":"html","$t":"\u003Cbr \/\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EAqui podes aceder a mais uma ficha de avaliação para treinares e testares os teus conhecimentos. Clica no seguinte link para teres acesso à ficha de avaliação - áreas e volumes 6º ano --\u0026gt; \u003Ca href=\"https:\/\/www.dropbox.com\/s\/rxoawoh40uz4yd6\/teste%20%C3%A1reas%20e%20volumes%20-%206%C2%BA%20ano.docx?dl=0\" rel=\"nofollow\" target=\"_blank\"\u003E\u003Cb\u003EAQUI\u003C\/b\u003E\u003C\/a\u003E. \u003C\/span\u003E(não precisas de de registar no dropbox, basta clicar em baixo em \"No Thanks. Continue to view\")\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Ca href=\"http:\/\/2.bp.blogspot.com\/-bHBUpn1Lg8U\/VoprissflhI\/AAAAAAAADpg\/Qt-lGkOhanA\/s1600\/Square_pyramid.png\" imageanchor=\"1\" style=\"margin-left: 1em; margin-right: 1em;\"\u003E\u003Cimg border=\"0\" height=\"123\" src=\"http:\/\/2.bp.blogspot.com\/-bHBUpn1Lg8U\/VoprissflhI\/AAAAAAAADpg\/Qt-lGkOhanA\/s200\/Square_pyramid.png\" width=\"200\" \/\u003E\u003C\/a\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EPara te ajudar a estudar sobre volumes e áreas, sugerimos que consultes os seguintes artigos:\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-family: inherit;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cul style=\"background-color: white; color: #666666; line-height: 18.48px; margin: 0.5em 0px; padding: 0px 2.5em;\"\u003E\u003Cli style=\"margin: 0px 0px 0.25em; padding: 0px;\"\u003E\u003Ca href=\"http:\/\/www.estudarmatematica.pt\/2014\/03\/como-calcular-o-volume-de-um-cubo.html\" style=\"color: #888888; text-decoration: none;\" target=\"_blank\"\u003E\u003Cspan style=\"font-family: inherit;\"\u003EComo calcular o volume de um cubo\u003C\/span\u003E\u003C\/a\u003E\u003C\/li\u003E\u003Cli style=\"margin: 0px 0px 0.25em; padding: 0px;\"\u003E\u003Ca href=\"http:\/\/www.estudarmatematica.pt\/2014\/03\/como-calcular-o-volume-de-um.html\" style=\"color: #888888; text-decoration: none;\" target=\"_blank\"\u003E\u003Cspan style=\"font-family: inherit;\"\u003EComo calcular o volume de um paralelepípedo\u003C\/span\u003E\u003C\/a\u003E\u003C\/li\u003E\u003Cli style=\"margin: 0px 0px 0.25em; padding: 0px;\"\u003E\u003Ca href=\"http:\/\/www.estudarmatematica.pt\/2014\/03\/como-calcular-o-volume-de-um-cilindro.html\" style=\"color: #888888; text-decoration: none;\" target=\"_blank\"\u003E\u003Cspan style=\"font-family: inherit;\"\u003EComo calcular o volume de um cilindro\u003C\/span\u003E\u003C\/a\u003E\u003C\/li\u003E\u003Cli style=\"margin: 0px 0px 0.25em; padding: 0px;\"\u003E\u003Ca href=\"http:\/\/www.estudarmatematica.pt\/2014\/03\/como-calcular-o-volume-de-um-cone.html\" style=\"color: #888888; text-decoration: none;\" target=\"_blank\"\u003E\u003Cspan style=\"font-family: inherit;\"\u003EComo calcular o volume de um cone\u003C\/span\u003E\u003C\/a\u003E\u003C\/li\u003E\u003Cli style=\"margin: 0px 0px 0.25em; padding: 0px;\"\u003E\u003Ca href=\"http:\/\/www.estudarmatematica.pt\/2014\/03\/como-calcular-o-volume-de-uma-esfera.html\" style=\"color: #888888; text-decoration: none;\" target=\"_blank\"\u003E\u003Cspan style=\"font-family: inherit;\"\u003EComo calcular o volume de uma esfera\u003C\/span\u003E\u003C\/a\u003E\u003C\/li\u003E\u003Cli style=\"margin: 0px 0px 0.25em; padding: 0px;\"\u003E\u003Ca href=\"http:\/\/www.estudarmatematica.pt\/2014\/04\/como-calcular-o-volume-de-um-prisma.html\" style=\"color: #888888; text-decoration: none;\" target=\"_blank\"\u003E\u003Cspan style=\"font-family: inherit;\"\u003EComo calcular o volume de um prisma\u003C\/span\u003E\u003C\/a\u003E\u003C\/li\u003E\u003Cli style=\"margin: 0px 0px 0.25em; padding: 0px;\"\u003E\u003Cspan style=\"color: #888888; font-family: inherit; text-decoration: none;\"\u003E\u003Ca href=\"http:\/\/www.estudarmatematica.pt\/2014\/03\/como-calcular-o-volume-de-uma-piramide.html\" style=\"color: #888888; text-decoration: none;\" target=\"_blank\"\u003EComo calcular o volume de uma pirâmide\u003C\/a\u003E\u003C\/span\u003E\u003C\/li\u003E\u003Cli style=\"margin: 0px 0px 0.25em; padding: 0px;\"\u003E\u003Ca href=\"http:\/\/www.estudarmatematica.pt\/2014\/03\/como-calcular-altura-de-um-cilindro.html\" rel=\"nofollow\" target=\"_blank\"\u003EComo calcular a altura de um cilindro\u003C\/a\u003E\u003C\/li\u003E\u003Cli style=\"margin: 0px 0px 0.25em; padding: 0px;\"\u003E\u003Ca href=\"http:\/\/www.estudarmatematica.pt\/2014\/06\/como-calcular-area-do-quadrado-e-do.html\" rel=\"nofollow\" target=\"_blank\"\u003EComo calcular a área de um quadrado e de um retangulo\u003C\/a\u003E\u003C\/li\u003E\u003Cli style=\"margin: 0px 0px 0.25em; padding: 0px;\"\u003E\u003Ca href=\"http:\/\/www.estudarmatematica.pt\/2014\/06\/como-calcular-area-de-um-triangulo.html\" rel=\"nofollow\" target=\"_blank\"\u003EComo calcular a área de um triângulo\u003C\/a\u003E\u003C\/li\u003E\u003Cli style=\"margin: 0px 0px 0.25em; padding: 0px;\"\u003E\u003Ca href=\"http:\/\/www.estudarmatematica.pt\/2014\/07\/como-calcular-area-do-trapezio.html\" rel=\"nofollow\" target=\"_blank\"\u003EComo calcular a área de um trapézio\u003C\/a\u003E\u003C\/li\u003E\u003C\/ul\u003E\u003Cdiv\u003E\u003Cspan style=\"color: #666666;\"\u003E\u003Cspan style=\"line-height: 18.48px;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EPara mais testes e fichas de avaliação do 6º ano, clica \u003C\/span\u003E\u003Cb style=\"font-size: x-large;\"\u003E\u003Ca href=\"http:\/\/www.estudarmatematica.pt\/2013\/10\/testes-de-matematica-6o-ano.html\" rel=\"nofollow\"\u003EAQUI\u003C\/a\u003E\u003C\/b\u003E\u003Cspan style=\"font-size: large;\"\u003E.\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E"},"link":[{"rel":"replies","type":"application/atom+xml","href":"http:\/\/www.estudarmatematica.pt\/feeds\/4861037602703943475\/comments\/default","title":"Enviar comentários"},{"rel":"replies","type":"text/html","href":"http:\/\/www.estudarmatematica.pt\/2016\/01\/ficha-de-avaliacao-areas-e-volumes-6-ano.html#comment-form","title":"0 Comentários"},{"rel":"edit","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/5376395271292297196\/posts\/default\/4861037602703943475"},{"rel":"self","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/5376395271292297196\/posts\/default\/4861037602703943475"},{"rel":"alternate","type":"text/html","href":"http:\/\/www.estudarmatematica.pt\/2016\/01\/ficha-de-avaliacao-areas-e-volumes-6-ano.html","title":"Ficha de avaliação - áreas e volumes 6º ano"}],"author":[{"name":{"$t":"Filipe A"},"uri":{"$t":"http:\/\/www.blogger.com\/profile\/08129530978110568538"},"email":{"$t":"noreply@blogger.com"},"gd$image":{"rel":"http://schemas.google.com/g/2005#thumbnail","width":"16","height":"16","src":"https:\/\/img1.blogblog.com\/img\/b16-rounded.gif"}}],"media$thumbnail":{"xmlns$media":"http://search.yahoo.com/mrss/","url":"http:\/\/2.bp.blogspot.com\/-bHBUpn1Lg8U\/VoprissflhI\/AAAAAAAADpg\/Qt-lGkOhanA\/s72-c\/Square_pyramid.png","height":"72","width":"72"},"thr$total":{"$t":"0"}},{"id":{"$t":"tag:blogger.com,1999:blog-5376395271292297196.post-7106518133569057834"},"published":{"$t":"2015-12-18T16:28:00.000+00:00"},"updated":{"$t":"2015-12-18T16:28:55.534+00:00"},"category":[{"scheme":"http://www.blogger.com/atom/ns#","term":"curiosidades"},{"scheme":"http://www.blogger.com/atom/ns#","term":"geometria"},{"scheme":"http://www.blogger.com/atom/ns#","term":"Natal"},{"scheme":"http://www.blogger.com/atom/ns#","term":"teorema de Pitágoras"}],"title":{"type":"text","$t":"A fórmula matemática para a árvore de Natal perfeita"},"content":{"type":"html","$t":"\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EA decoração da árvore de Natal é uma das atividades mais aguardadas na época das festas. Juntar os pais e filhos a decorar a árvore é algo que todos gostam. No entanto, com tantos enfeites, por vezes a decoração final não fica tão perfeita quanto o desejado. Para resolver esse problema, dois estudantes ingleses criaram uma fórmula para saber exatamente quantos enfeites a árvore deve levar para ficar perfeita. Sabe mais sobre a fórmula matemática para a árvore de Natal perfeita.\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Ca href=\"http:\/\/1.bp.blogspot.com\/-gLyBOc__oFc\/VnQzf3URE-I\/AAAAAAAADow\/hn9mEIIugmo\/s1600\/800px-Christmas_tree_sxc_hu.jpg\" imageanchor=\"1\" style=\"margin-left: 1em; margin-right: 1em;\"\u003E\u003Cimg border=\"0\" height=\"320\" src=\"http:\/\/1.bp.blogspot.com\/-gLyBOc__oFc\/VnQzf3URE-I\/AAAAAAAADow\/hn9mEIIugmo\/s320\/800px-Christmas_tree_sxc_hu.jpg\" width=\"239\" \/\u003E\u003C\/a\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cb\u003EFórmula matemática para criar a decoração perfeita na árvore de Natal\u003C\/b\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003ENicole Wrightham e Alex Craig, estudantes de Matemática na Universidade de Sheffield, são os criadores da fórmula. Esta surgiu no seguimento de um pedido de uma loja de enfeites natalícios para criarem algo que ajudasse os seus clientes na hora de fazer as suas compras.\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EUsando conceitos como o teorema de Pitágoras, rapidamente estes dois estudantes chegaram à fórmula final. Ela está disponível através de uma calculadora online, onde através da altura da árvore, saberá o número de enfeites ideal para que a decoração fique perfeita. Podes aceder a esta calculadora \u003Cb\u003E\u003Ca href=\"http:\/\/www.shef.ac.uk\/news\/nr\/debenhams-christmas-tree-formula-1.227810\" rel=\"nofollow\" target=\"_blank\"\u003EAQUI\u003C\/a\u003E\u003C\/b\u003E. A página está em inglês, mas é fácil de perceber. Quando acederes, anda para baixo até encontrares a calculadora.\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EExperimenta, e se ainda não tiveres decorado a tua árvore, utiliza esta fórmula.\u003C\/span\u003E\u003C\/div\u003E"},"link":[{"rel":"replies","type":"application/atom+xml","href":"http:\/\/www.estudarmatematica.pt\/feeds\/7106518133569057834\/comments\/default","title":"Enviar comentários"},{"rel":"replies","type":"text/html","href":"http:\/\/www.estudarmatematica.pt\/2015\/12\/a-formula-matematica-para-arvore-de.html#comment-form","title":"0 Comentários"},{"rel":"edit","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/5376395271292297196\/posts\/default\/7106518133569057834"},{"rel":"self","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/5376395271292297196\/posts\/default\/7106518133569057834"},{"rel":"alternate","type":"text/html","href":"http:\/\/www.estudarmatematica.pt\/2015\/12\/a-formula-matematica-para-arvore-de.html","title":"A fórmula matemática para a árvore de Natal perfeita"}],"author":[{"name":{"$t":"Filipe A"},"uri":{"$t":"http:\/\/www.blogger.com\/profile\/08129530978110568538"},"email":{"$t":"noreply@blogger.com"},"gd$image":{"rel":"http://schemas.google.com/g/2005#thumbnail","width":"16","height":"16","src":"https:\/\/img1.blogblog.com\/img\/b16-rounded.gif"}}],"media$thumbnail":{"xmlns$media":"http://search.yahoo.com/mrss/","url":"http:\/\/1.bp.blogspot.com\/-gLyBOc__oFc\/VnQzf3URE-I\/AAAAAAAADow\/hn9mEIIugmo\/s72-c\/800px-Christmas_tree_sxc_hu.jpg","height":"72","width":"72"},"thr$total":{"$t":"0"}},{"id":{"$t":"tag:blogger.com,1999:blog-5376395271292297196.post-4421744300181108040"},"published":{"$t":"2015-11-13T22:15:00.000+00:00"},"updated":{"$t":"2015-11-13T22:21:27.485+00:00"},"category":[{"scheme":"http://www.blogger.com/atom/ns#","term":"algoritmo"},{"scheme":"http://www.blogger.com/atom/ns#","term":"Números"},{"scheme":"http://www.blogger.com/atom/ns#","term":"operações"}],"title":{"type":"text","$t":"O que é um algoritmo"},"content":{"type":"html","$t":"\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EMuitas vezes associado à programação computacional, na realidade a palavra algoritmo não é nada mais que um conjunto de passos definidos necessários para resolver uma tarefa. De seguida podes ficar a saber o que é um algoritmo, e conhecer os algoritmos mais básicos e conhecidos da Matemática.\u0026nbsp;\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Ca href=\"http:\/\/1.bp.blogspot.com\/-09bX8DeEXsI\/VkZgo5c9F_I\/AAAAAAAADkU\/O_WfXjCZY3w\/s1600\/algoritmo.png\" imageanchor=\"1\" style=\"margin-left: 1em; margin-right: 1em;\"\u003E\u003Cimg border=\"0\" height=\"400\" src=\"http:\/\/1.bp.blogspot.com\/-09bX8DeEXsI\/VkZgo5c9F_I\/AAAAAAAADkU\/O_WfXjCZY3w\/s400\/algoritmo.png\" width=\"191\" \/\u003E\u003C\/a\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cb\u003EO que é um algoritmo?\u003C\/b\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EDe uma forma simples um algoritmo é uma \"receita\" que se deve seguir de modo a conseguir resolver uma tarefa. No dia a dia existem muitos algoritmos já enraizados na sua cabeça que lhe permitem realizar um grande conjunto de tarefas. Por exemplo, quando tem de abrir uma porta, na sua cabeça todos os passos estão já definidos:\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E1º passo - tirar a chave\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E2º passo - colocar a chave na fechadura\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E3º passo - rodar a chave\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E4º passo - rodar a maçaneta e puxar a porta\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003ENa sua essência, este conjunto de passos é um algoritmo, já que terá de os seguir sempre para abrir uma porta fechada à chave com maçaneta.\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003ENa Matemática, logo desde muito cedo os alunos aprendem alguns algoritmos básicos, como o da adição, o da subtração, o da multiplicação e da divisão. Aquilo que as crianças chamam de \"contas em pé\", não são nada mais que métodos, com um passo a passo definido, para descobrir o resultado de uma determinada operação.\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003ENa Matemática existem inúmeros algoritmos, dos mais simples aos mais complexos, que permitem dessa forma descobrir um determinado resultado de uma forma relativamente fácil, já que basta seguir os passos definidos nesse método.\u003C\/span\u003E\u003Cbr \/\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003Cbr \/\u003E\u003Cul\u003E\u003Cli\u003E\u003Cspan style=\"font-size: large;\"\u003EAlguns exemplos de algoritmos utilizados nas aulas de Matemática:\u003C\/span\u003E\u003C\/li\u003E\u003C\/ul\u003E\u003Cbr \/\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003Cspan style=\"font-size: large;\"\u003E-\u0026nbsp;\u003Ca href=\"http:\/\/www.estudarmatematica.pt\/2013\/11\/como-fazer-contas-de-dividir-passo-passo.html\" rel=\"nofollow\" target=\"_blank\"\u003EAlgoritmo da divisão\u003C\/a\u003E - passo a passo\u003C\/span\u003E\u003Cbr \/\u003E\u003Cspan style=\"font-size: large;\"\u003E-\u0026nbsp;\u003Ca href=\"http:\/\/www.estudarmatematica.pt\/2014\/10\/como-fazer-contas-de-multiplicar.html\" rel=\"nofollow\" target=\"_blank\"\u003EAlgoritmo da multiplicação\u003C\/a\u003E - passo a passo\u003C\/span\u003E\u003Cbr \/\u003E\u003Cspan style=\"font-size: large;\"\u003E-\u0026nbsp;\u003Ca href=\"http:\/\/www.estudarmatematica.pt\/2014\/07\/como-calcular-expressoes-numericas.html\" target=\"_blank\"\u003EComo calcular expressões numéricas\u003C\/a\u003E\u003C\/span\u003E\u003Cbr \/\u003E\u003Cspan style=\"font-size: large;\"\u003E-\u0026nbsp;\u003Ca href=\"http:\/\/www.estudarmatematica.pt\/2013\/11\/como-calcular-o-mdc-maximo-divisor-comum.html\" rel=\"nofollow\" target=\"_blank\"\u003EComo calcular o mdc\u003C\/a\u003E\u003C\/span\u003E\u003Cbr \/\u003E\u003Cspan style=\"font-size: large;\"\u003E-\u0026nbsp;\u003Ca href=\"http:\/\/www.estudarmatematica.pt\/2013\/12\/como-calcular-o-mmc-minimo-multiplo.html\" rel=\"nofollow\" target=\"_blank\"\u003EComo calcular o mmc\u003C\/a\u003E\u003C\/span\u003E\u003C\/div\u003E"},"link":[{"rel":"replies","type":"application/atom+xml","href":"http:\/\/www.estudarmatematica.pt\/feeds\/4421744300181108040\/comments\/default","title":"Enviar comentários"},{"rel":"replies","type":"text/html","href":"http:\/\/www.estudarmatematica.pt\/2015\/11\/o-que-e-um-algoritmo.html#comment-form","title":"2 Comentários"},{"rel":"edit","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/5376395271292297196\/posts\/default\/4421744300181108040"},{"rel":"self","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/5376395271292297196\/posts\/default\/4421744300181108040"},{"rel":"alternate","type":"text/html","href":"http:\/\/www.estudarmatematica.pt\/2015\/11\/o-que-e-um-algoritmo.html","title":"O que é um algoritmo"}],"author":[{"name":{"$t":"Filipe A"},"uri":{"$t":"http:\/\/www.blogger.com\/profile\/08129530978110568538"},"email":{"$t":"noreply@blogger.com"},"gd$image":{"rel":"http://schemas.google.com/g/2005#thumbnail","width":"16","height":"16","src":"https:\/\/img1.blogblog.com\/img\/b16-rounded.gif"}}],"media$thumbnail":{"xmlns$media":"http://search.yahoo.com/mrss/","url":"http:\/\/1.bp.blogspot.com\/-09bX8DeEXsI\/VkZgo5c9F_I\/AAAAAAAADkU\/O_WfXjCZY3w\/s72-c\/algoritmo.png","height":"72","width":"72"},"thr$total":{"$t":"2"}},{"id":{"$t":"tag:blogger.com,1999:blog-5376395271292297196.post-8856343672051914142"},"published":{"$t":"2015-11-07T08:43:00.000+00:00"},"updated":{"$t":"2015-11-07T08:43:43.716+00:00"},"category":[{"scheme":"http://www.blogger.com/atom/ns#","term":"expressões algébricas"},{"scheme":"http://www.blogger.com/atom/ns#","term":"expressões numéricas"},{"scheme":"http://www.blogger.com/atom/ns#","term":"operações"}],"title":{"type":"text","$t":"O que são expressões algébricas"},"content":{"type":"html","$t":"\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EMuitas vezes fala-se de expressões numéricas e algébricas, mas sabes realmente o que são? Como vimos \u003Ca href=\"http:\/\/www.estudarmatematica.pt\/2014\/07\/como-calcular-expressoes-numericas.html\" target=\"_blank\"\u003EAQUI\u003C\/a\u003E, uma expressão numérica é uma expressão matemática que envolve valores numéricos e operações, e que representa um determinado resultado. Mas o que são expressões algébricas? De seguida podes aprender o que é uma expressão algébrica, com um exemplo para perceberes melhor.\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cb\u003EO que são expressões algébricas\u003C\/b\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EAs expressões algébricas são expressões matemáticas, tal como as expressões numéricas, mas que apresentam variáveis. Por exemplo, A = 5a\u0026nbsp;+ 2b. Cada uma das letras desta expressão designa-se por variável, o que significa que podem ser substituídos por um valor numérico. Após as variáveis serem substituídas, ficamos com uma expressão numérica, com todos os dados para se poder calcular.\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cu\u003EExemplo:\u003C\/u\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EO João foi a uma papelaria e necessita de comprar canetas e lápis. Sabendo que uma caneta custa 0,80€ e um lápis 0,50€, quanto gastará se:\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003Ea) comprar 3 canetas e 2 lápis?\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003Eb) comprar 5 canetas e 3 lápis?\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EPara resolver ambas as questões, iremos usar a seguinte expressão algébrica: A (custo) = a x 0,80€\u0026nbsp;+ b x 0,50€.\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EOu seja, \u003Cb\u003Ea\u003C\/b\u003E\u0026nbsp;é o número de canetas e \u003Cb\u003Eb\u003C\/b\u003E é o número de lápis. O valor de cada item é sempre igual, sendo o número de canetas e o número de lápis variável de acordo com a quantidade desejada.\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003C\/div\u003E\u003Cul\u003E\u003Cli\u003E\u003Cspan style=\"font-size: large;\"\u003EAssim, para se calcular a)\u003C\/span\u003E\u003C\/li\u003E\u003C\/ul\u003E\u003Cbr \/\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EA = 3 x 0,80\u0026nbsp;\u003C\/span\u003E\u003Cspan style=\"font-size: large;\"\u003E+ 2 x 0,50\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EA = 2,40\u0026nbsp;+ 1\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EA = 3,40\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003C\/div\u003E\u003Cul\u003E\u003Cli\u003E\u003Cspan style=\"font-size: large;\"\u003EPara calcular b)\u003C\/span\u003E\u003C\/li\u003E\u003C\/ul\u003E\u003Cbr \/\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EA = 5 x 0,80\u0026nbsp;\u003C\/span\u003E\u003Cspan style=\"font-size: large;\"\u003E+ 3 x 0,50\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EA = 4\u0026nbsp;+ 1,50\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EA = 5,50\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cb\u003ERegras para calcular uma expressão algébrica\u003C\/b\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EAs regras que deve seguir de modo a calcular corretamente expressões algébricas são as mesmas das expressões numéricas. Assim, deverá seguir a seguinte prioridade:\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E1º Prioridade - Potências e Raízes\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E2ª Prioridade - Multiplicação e divisão\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E3ª Prioridade - Adição e Subtração\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EQuando surgem\u0026nbsp;parênteses, deverá realizar primeiro as operações dentro de\u0026nbsp;parênteses, tendo estas prioridade em relação a todas as outras.\u0026nbsp;\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EPara aprenderes a calcular uma expressão algébrica e numérica, passo a passo, consulta a nossa explicação (com exemplos corrigidos), \u003Ca href=\"http:\/\/www.estudarmatematica.pt\/2014\/07\/como-calcular-expressoes-numericas.html\" target=\"_blank\"\u003EAQUI\u003C\/a\u003E.\u003C\/span\u003E\u003C\/div\u003E"},"link":[{"rel":"replies","type":"application/atom+xml","href":"http:\/\/www.estudarmatematica.pt\/feeds\/8856343672051914142\/comments\/default","title":"Enviar comentários"},{"rel":"replies","type":"text/html","href":"http:\/\/www.estudarmatematica.pt\/2015\/11\/o-que-sao-expressoes-algebricas.html#comment-form","title":"0 Comentários"},{"rel":"edit","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/5376395271292297196\/posts\/default\/8856343672051914142"},{"rel":"self","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/5376395271292297196\/posts\/default\/8856343672051914142"},{"rel":"alternate","type":"text/html","href":"http:\/\/www.estudarmatematica.pt\/2015\/11\/o-que-sao-expressoes-algebricas.html","title":"O que são expressões algébricas"}],"author":[{"name":{"$t":"Filipe A"},"uri":{"$t":"http:\/\/www.blogger.com\/profile\/08129530978110568538"},"email":{"$t":"noreply@blogger.com"},"gd$image":{"rel":"http://schemas.google.com/g/2005#thumbnail","width":"16","height":"16","src":"https:\/\/img1.blogblog.com\/img\/b16-rounded.gif"}}],"thr$total":{"$t":"0"}},{"id":{"$t":"tag:blogger.com,1999:blog-5376395271292297196.post-3485777128320512033"},"published":{"$t":"2015-11-02T10:23:00.000+00:00"},"updated":{"$t":"2015-11-02T10:23:00.198+00:00"},"category":[{"scheme":"http://www.blogger.com/atom/ns#","term":"desafio matemático"},{"scheme":"http://www.blogger.com/atom/ns#","term":"desafios"},{"scheme":"http://www.blogger.com/atom/ns#","term":"sequências e regularidades"}],"title":{"type":"text","$t":"Desafios Matemáticos - Qual o próximo número?"},"content":{"type":"html","$t":"\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EOs desafios matemáticos são excelentes formas de testares os teus conhecimentos e treinares o teu cérebro. Além disso, é uma forma motivadora e divertida de estudar Matemática.\u0026nbsp;Descobre de seguida mais num dos nossos desafios matemáticos - Qual o próximo número. Presta atenção e vê se consegues descobrir a resposta!\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Ca href=\"http:\/\/2.bp.blogspot.com\/-RBUOpnwZFWI\/VhKpkd1a8qI\/AAAAAAAADXg\/StY7CtNWoGc\/s1600\/charada.gif\" imageanchor=\"1\" style=\"margin-left: 1em; margin-right: 1em;\"\u003E\u003Cimg border=\"0\" height=\"320\" src=\"http:\/\/2.bp.blogspot.com\/-RBUOpnwZFWI\/VhKpkd1a8qI\/AAAAAAAADXg\/StY7CtNWoGc\/s320\/charada.gif\" width=\"276\" \/\u003E\u003C\/a\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003C\/div\u003E\u003Cul\u003E\u003Cli\u003E\u003Cb style=\"font-size: x-large;\"\u003EDesafio Matemático do dia\u003C\/b\u003E\u003C\/li\u003E\u003C\/ul\u003E\u003Cbr \/\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Ci\u003E\u003Cspan style=\"font-size: large;\"\u003EO próximo número da sequência 5,11,19,29,41,... é?\u003C\/span\u003E\u003C\/i\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EPara saberes a resposta seleciona o seguinte espaço -- \u003Cspan style=\"color: white;\"\u003E55\u003C\/span\u003E --. Se descobriste, deixa um comentário! A explicação podes encontrá-la mais abaixo.\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cbr \/\u003E\u003Cbr \/\u003E\u003Cbr \/\u003E\u003Cbr \/\u003E\u003Cbr \/\u003E\u003Cbr \/\u003E\u003Cbr \/\u003E\u003Cbr \/\u003E\u003Cbr \/\u003E\u003Cspan style=\"font-size: x-small;\"\u003EExplicação:\u003C\/span\u003E\u003Cbr \/\u003E\u003Cspan style=\"font-size: x-small;\"\u003EPara formar a sequência dada soma-se a cada termo um número par, a partir do número 6. Ou seja,\u0026nbsp;\u003C\/span\u003E\u003Cbr \/\u003E\u003Cspan style=\"font-size: x-small;\"\u003E5+6=11\u0026nbsp;\u003C\/span\u003E\u003Cbr \/\u003E\u003Cspan style=\"font-size: x-small;\"\u003E11+8=19\u0026nbsp;\u003C\/span\u003E\u003Cbr \/\u003E\u003Cspan style=\"font-size: x-small;\"\u003E19+10=29\u0026nbsp;\u003C\/span\u003E\u003Cbr \/\u003E\u003Cspan style=\"font-size: x-small;\"\u003E29+12=41\u0026nbsp;\u003C\/span\u003E\u003Cbr \/\u003E\u003Cspan style=\"font-size: x-small;\"\u003E41+14=55.\u003C\/span\u003E"},"link":[{"rel":"replies","type":"application/atom+xml","href":"http:\/\/www.estudarmatematica.pt\/feeds\/3485777128320512033\/comments\/default","title":"Enviar comentários"},{"rel":"replies","type":"text/html","href":"http:\/\/www.estudarmatematica.pt\/2015\/11\/desafios-matematicos-qual-o-proximo.html#comment-form","title":"0 Comentários"},{"rel":"edit","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/5376395271292297196\/posts\/default\/3485777128320512033"},{"rel":"self","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/5376395271292297196\/posts\/default\/3485777128320512033"},{"rel":"alternate","type":"text/html","href":"http:\/\/www.estudarmatematica.pt\/2015\/11\/desafios-matematicos-qual-o-proximo.html","title":"Desafios Matemáticos - Qual o próximo número?"}],"author":[{"name":{"$t":"Filipe A"},"uri":{"$t":"http:\/\/www.blogger.com\/profile\/08129530978110568538"},"email":{"$t":"noreply@blogger.com"},"gd$image":{"rel":"http://schemas.google.com/g/2005#thumbnail","width":"16","height":"16","src":"https:\/\/img1.blogblog.com\/img\/b16-rounded.gif"}}],"media$thumbnail":{"xmlns$media":"http://search.yahoo.com/mrss/","url":"http:\/\/2.bp.blogspot.com\/-RBUOpnwZFWI\/VhKpkd1a8qI\/AAAAAAAADXg\/StY7CtNWoGc\/s72-c\/charada.gif","height":"72","width":"72"},"thr$total":{"$t":"0"}},{"id":{"$t":"tag:blogger.com,1999:blog-5376395271292297196.post-1641551311932476031"},"published":{"$t":"2015-10-29T19:02:00.000+00:00"},"updated":{"$t":"2015-10-29T19:02:14.824+00:00"},"category":[{"scheme":"http://www.blogger.com/atom/ns#","term":"exercícios 5º ano"},{"scheme":"http://www.blogger.com/atom/ns#","term":"exercícios 6º ano"},{"scheme":"http://www.blogger.com/atom/ns#","term":"expressões numéricas"},{"scheme":"http://www.blogger.com/atom/ns#","term":"fichas"},{"scheme":"http://www.blogger.com/atom/ns#","term":"fichas para imprimir"},{"scheme":"http://www.blogger.com/atom/ns#","term":"frações"},{"scheme":"http://www.blogger.com/atom/ns#","term":"operações com frações"}],"title":{"type":"text","$t":"Ficha de trabalho - Expressões numéricas com frações (com correção)"},"content":{"type":"html","$t":"\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EUma expressão numérica é uma expressão que representa um determinado valor. É por isso essencial saber calcular expressões numéricas para teres sucesso em Matemática. Aqui poderás encontrar uma ficha de trabalho - expressões numéricas com frações (com correção), para treinares e praticares os teus conhecimentos.\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003ESe tens dúvidas sobre como calcular expressões numéricas ou relativamente às frações, nos seguintes links podes encontrar tudo o que necessitas.\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cbr \/\u003E\u003Cul\u003E\u003Cli style=\"text-align: justify;\"\u003E\u003Ca href=\"http:\/\/www.estudarmatematica.pt\/2014\/07\/como-calcular-expressoes-numericas.html\" target=\"_blank\"\u003E\u003Cspan style=\"font-size: large;\"\u003EComo calcular expressões numéricas\u003C\/span\u003E\u003C\/a\u003E\u003C\/li\u003E\u003Cli style=\"text-align: justify;\"\u003E\u003Ca href=\"http:\/\/www.estudarmatematica.pt\/2013\/12\/como-fazer-adicao-e-subtracao-de-fracoes.html\" rel=\"nofollow\" target=\"_blank\"\u003E\u003Cspan style=\"font-size: large;\"\u003EComo fazer a adição e subtração de frações\u003C\/span\u003E\u003C\/a\u003E\u003C\/li\u003E\u003Cli style=\"text-align: justify;\"\u003E\u003Ca href=\"http:\/\/www.estudarmatematica.pt\/2014\/05\/como-multiplicar-fracoes.html\" rel=\"nofollow\" target=\"_blank\"\u003E\u003Cspan style=\"font-size: large;\"\u003EComo multiplicar frações\u003C\/span\u003E\u003C\/a\u003E\u003C\/li\u003E\u003Cli style=\"text-align: justify;\"\u003E\u003Ca href=\"http:\/\/www.estudarmatematica.pt\/2014\/05\/como-dividir-fracoes.html\" rel=\"nofollow\" target=\"_blank\"\u003E\u003Cspan style=\"font-size: large;\"\u003EComo dividir frações\u003C\/span\u003E\u003C\/a\u003E\u003C\/li\u003E\u003Cli style=\"text-align: justify;\"\u003E\u003Ca href=\"http:\/\/www.estudarmatematica.pt\/2014\/10\/como-simplificar-fracoes.html\" rel=\"nofollow\" target=\"_blank\"\u003E\u003Cspan style=\"font-size: large;\"\u003EComo simplificar frações\u003C\/span\u003E\u003C\/a\u003E\u003C\/li\u003E\u003C\/ul\u003E\u003Cbr \/\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cb\u003EFicha de trabalho - Expressões numéricas com frações\u0026nbsp;\u003C\/b\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EPara poderes realizar a seguinte ficha de trabalho sobre expressões numéricas com frações, clica em cima da imagem e guarda. Depois podes ver com melhor resolução no teu computador ou imprimir. Se não quiseres guardar, clica com o botão direito do rato e seleciona \"Abrir em novo separador\". Depois tens apenas de clicar em cima da imagem no novo separador.\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Ca href=\"http:\/\/2.bp.blogspot.com\/-6pSuLnKgImg\/VjJs01-6EgI\/AAAAAAAADgw\/G-rcdaIoq2U\/s1600\/Digitalizar0008.jpg\" imageanchor=\"1\" style=\"margin-left: 1em; margin-right: 1em;\"\u003E\u003Cimg border=\"0\" height=\"640\" src=\"http:\/\/2.bp.blogspot.com\/-6pSuLnKgImg\/VjJs01-6EgI\/AAAAAAAADgw\/G-rcdaIoq2U\/s640\/Digitalizar0008.jpg\" width=\"465\" \/\u003E\u003C\/a\u003E\u003C\/div\u003E\u003Cbr \/\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cb\u003ECorreção da ficha de trabalho - Expressões numéricas com frações\u0026nbsp;\u003C\/b\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Ca href=\"http:\/\/4.bp.blogspot.com\/-7iYjnGhyOQc\/VjJs1IOnqaI\/AAAAAAAADg0\/QCSIy7Zone0\/s1600\/Digitalizar0009.jpg\" imageanchor=\"1\" style=\"margin-left: 1em; margin-right: 1em;\"\u003E\u003Cimg border=\"0\" height=\"320\" src=\"http:\/\/4.bp.blogspot.com\/-7iYjnGhyOQc\/VjJs1IOnqaI\/AAAAAAAADg0\/QCSIy7Zone0\/s320\/Digitalizar0009.jpg\" width=\"232\" \/\u003E\u003C\/a\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E"},"link":[{"rel":"replies","type":"application/atom+xml","href":"http:\/\/www.estudarmatematica.pt\/feeds\/1641551311932476031\/comments\/default","title":"Enviar comentários"},{"rel":"replies","type":"text/html","href":"http:\/\/www.estudarmatematica.pt\/2015\/10\/ficha-de-trabalho-expressoes-numericas.html#comment-form","title":"1 Comentários"},{"rel":"edit","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/5376395271292297196\/posts\/default\/1641551311932476031"},{"rel":"self","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/5376395271292297196\/posts\/default\/1641551311932476031"},{"rel":"alternate","type":"text/html","href":"http:\/\/www.estudarmatematica.pt\/2015\/10\/ficha-de-trabalho-expressoes-numericas.html","title":"Ficha de trabalho - Expressões numéricas com frações (com correção)"}],"author":[{"name":{"$t":"Filipe A"},"uri":{"$t":"http:\/\/www.blogger.com\/profile\/08129530978110568538"},"email":{"$t":"noreply@blogger.com"},"gd$image":{"rel":"http://schemas.google.com/g/2005#thumbnail","width":"16","height":"16","src":"https:\/\/img1.blogblog.com\/img\/b16-rounded.gif"}}],"media$thumbnail":{"xmlns$media":"http://search.yahoo.com/mrss/","url":"http:\/\/2.bp.blogspot.com\/-6pSuLnKgImg\/VjJs01-6EgI\/AAAAAAAADgw\/G-rcdaIoq2U\/s72-c\/Digitalizar0008.jpg","height":"72","width":"72"},"thr$total":{"$t":"1"}},{"id":{"$t":"tag:blogger.com,1999:blog-5376395271292297196.post-2007252145872093993"},"published":{"$t":"2015-10-26T10:40:00.000+00:00"},"updated":{"$t":"2015-10-26T10:40:00.296+00:00"},"category":[{"scheme":"http://www.blogger.com/atom/ns#","term":"fichas"},{"scheme":"http://www.blogger.com/atom/ns#","term":"fichas para imprimir"},{"scheme":"http://www.blogger.com/atom/ns#","term":"fração imprópria"},{"scheme":"http://www.blogger.com/atom/ns#","term":"frações"},{"scheme":"http://www.blogger.com/atom/ns#","term":"numeral misto"},{"scheme":"http://www.blogger.com/atom/ns#","term":"operações com frações"}],"title":{"type":"text","$t":"Ficha de trabalho - Numerais mistos (com correção)"},"content":{"type":"html","$t":"\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EUm numeral misto é uma forma de representar uma fração imprópria. Se ainda não sabes o que são frações impróprias e como calculares numerais mistos, clica \u003Ca href=\"http:\/\/www.estudarmatematica.pt\/2015\/10\/como-converter-um-numeral-misto-numa.html\" rel=\"nofollow\" target=\"_blank\"\u003E\u003Cb\u003EAQUI\u003C\/b\u003E\u003C\/a\u003E. De seguida apresentamos uma ficha de trabalho com vários exercícios resolvidos, para praticares e tirares dúvidas sobre como converteres frações em numerais mistos e vice-versa.\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cb\u003E\u003Cbr \/\u003E\u003C\/b\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cb\u003EFicha de trabalho - numerais mistos\u003C\/b\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EPara poderes realizar a seguinte ficha de trabalho, clica em cima da imagem e guarda. Depois podes ver com melhor resolução no teu computador ou imprimir. Se não quiseres guardar, clica com o botão direito do rato e seleciona \"Abrir em novo separador\". Depois tens apenas de clicar em cima da imagem no novo separador.\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Ca href=\"http:\/\/3.bp.blogspot.com\/-kuxxWpSeTM0\/Vidc34QQtUI\/AAAAAAAADc0\/anQ8bEdAKwk\/s1600\/ficha%2Bnumeral%2Bmisto.png\" imageanchor=\"1\" style=\"margin-left: 1em; margin-right: 1em;\"\u003E\u003Cimg alt=\"numeral misto fração\" border=\"0\" height=\"640\" src=\"http:\/\/3.bp.blogspot.com\/-kuxxWpSeTM0\/Vidc34QQtUI\/AAAAAAAADc0\/anQ8bEdAKwk\/s640\/ficha%2Bnumeral%2Bmisto.png\" title=\"Ficha de trabalho - Numerais mistos (com correção)\" width=\"457\" \/\u003E\u003C\/a\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: center;\"\u003E\u003Cspan style=\"font-size: large;\"\u003ECorreção da ficha de trabalho\u0026nbsp;\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Ca href=\"http:\/\/3.bp.blogspot.com\/-VLctA00Yxfo\/ViddcidJnnI\/AAAAAAAADc8\/9DvuR6q8VrA\/s1600\/Digitalizar0007.jpg\" imageanchor=\"1\" style=\"margin-left: 1em; margin-right: 1em;\"\u003E\u003Cimg alt=\"numeral misto fração correção exercícios resolvidos 5º 6º\" border=\"0\" height=\"320\" src=\"http:\/\/3.bp.blogspot.com\/-VLctA00Yxfo\/ViddcidJnnI\/AAAAAAAADc8\/9DvuR6q8VrA\/s320\/Digitalizar0007.jpg\" title=\"Ficha de trabalho - Numerais mistos (com correção)\" width=\"231\" \/\u003E\u003C\/a\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: center;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: center;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E"},"link":[{"rel":"replies","type":"application/atom+xml","href":"http:\/\/www.estudarmatematica.pt\/feeds\/2007252145872093993\/comments\/default","title":"Enviar comentários"},{"rel":"replies","type":"text/html","href":"http:\/\/www.estudarmatematica.pt\/2015\/10\/ficha-de-trabalho-numerais-mistos-com.html#comment-form","title":"0 Comentários"},{"rel":"edit","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/5376395271292297196\/posts\/default\/2007252145872093993"},{"rel":"self","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/5376395271292297196\/posts\/default\/2007252145872093993"},{"rel":"alternate","type":"text/html","href":"http:\/\/www.estudarmatematica.pt\/2015\/10\/ficha-de-trabalho-numerais-mistos-com.html","title":"Ficha de trabalho - Numerais mistos (com correção)"}],"author":[{"name":{"$t":"Filipe A"},"uri":{"$t":"http:\/\/www.blogger.com\/profile\/08129530978110568538"},"email":{"$t":"noreply@blogger.com"},"gd$image":{"rel":"http://schemas.google.com/g/2005#thumbnail","width":"16","height":"16","src":"https:\/\/img1.blogblog.com\/img\/b16-rounded.gif"}}],"media$thumbnail":{"xmlns$media":"http://search.yahoo.com/mrss/","url":"http:\/\/3.bp.blogspot.com\/-kuxxWpSeTM0\/Vidc34QQtUI\/AAAAAAAADc0\/anQ8bEdAKwk\/s72-c\/ficha%2Bnumeral%2Bmisto.png","height":"72","width":"72"},"thr$total":{"$t":"0"}},{"id":{"$t":"tag:blogger.com,1999:blog-5376395271292297196.post-7463268333539686534"},"published":{"$t":"2015-10-22T11:04:00.000+01:00"},"updated":{"$t":"2015-10-29T19:19:35.196+00:00"},"category":[{"scheme":"http://www.blogger.com/atom/ns#","term":"charadas"},{"scheme":"http://www.blogger.com/atom/ns#","term":"desafios"}],"title":{"type":"text","$t":"Desafios matemáticos - O camião"},"content":{"type":"html","$t":"\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EGostas de desafios matemáticos? Então tens aqui um para poderes praticar os teus conhecimentos matemáticos, e ao mesmo tempo, te divertires. Descobre de seguida os nossos desafios matemáticos - O camião. Lê com atenção e vê se consegues descobrir a resposta!\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv class=\"separator\" style=\"clear: both; text-align: center;\"\u003E\u003Ca href=\"http:\/\/1.bp.blogspot.com\/-dmEwkxGu31I\/VidjHGjFafI\/AAAAAAAADdM\/dyLfZrpiaqc\/s1600\/charada.gif\" imageanchor=\"1\" style=\"margin-left: 1em; margin-right: 1em;\"\u003E\u003Cimg border=\"0\" height=\"320\" src=\"http:\/\/1.bp.blogspot.com\/-dmEwkxGu31I\/VidjHGjFafI\/AAAAAAAADdM\/dyLfZrpiaqc\/s320\/charada.gif\" width=\"276\" \/\u003E\u003C\/a\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cbr \/\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003C\/div\u003E\u003Cul\u003E\u003Cli\u003E\u003Cb style=\"font-size: x-large;\"\u003EDesafio matemático do dia\u003C\/b\u003E\u003C\/li\u003E\u003C\/ul\u003E\u003Cbr \/\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Ci\u003EO sr. João trabalha na construção civil e tem um pequeno camião para transportar cargas menores. Este camião consegue levar 40 sacos de cimento ou 320 tijolos. Em determinado dia foram colocados no camião 15 sacos de cimento e o resto em tijolos. Quantos tijolos conseguiram colocar no camião?\u003C\/i\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003EPara saberes a resposta seleciona o seguinte espaço -- \u003Cspan style=\"color: white;\"\u003E200 tijolos\u003C\/span\u003E --. Se descobriste, deixa um comentário! A explicação podes encontrá-la mais abaixo.\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: large;\"\u003E\u003Cbr \/\u003E\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: x-small;\"\u003E\u003Cb\u003EExplicação:\u003C\/b\u003E\u0026nbsp;\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: xx-small;\"\u003E320:40=8 , ou seja, por cada saco de cimento há 8 tijolos.\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: xx-small;\"\u003ESe colocou 15 sacos, sobrou espaço para 25 sacos. Dessa forma, se por cada saco há 8 tijolos, basta multiplicar 25 por 8.\u003C\/span\u003E\u003C\/div\u003E\u003Cdiv style=\"text-align: justify;\"\u003E\u003Cspan style=\"font-size: xx-small;\"\u003E25x8=200\u003C\/span\u003E\u003C\/div\u003E"},"link":[{"rel":"replies","type":"application/atom+xml","href":"http:\/\/www.estudarmatematica.pt\/feeds\/7463268333539686534\/comments\/default","title":"Enviar comentários"},{"rel":"replies","type":"text/html","href":"http:\/\/www.estudarmatematica.pt\/2015\/10\/desafios-matematicos-o-camiao.html#comment-form","title":"0 Comentários"},{"rel":"edit","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/5376395271292297196\/posts\/default\/7463268333539686534"},{"rel":"self","type":"application/atom+xml","href":"http:\/\/www.blogger.com\/feeds\/5376395271292297196\/posts\/default\/7463268333539686534"},{"rel":"alternate","type":"text/html","href":"http:\/\/www.estudarmatematica.pt\/2015\/10\/desafios-matematicos-o-camiao.html","title":"Desafios matemáticos - O camião"}],"author":[{"name":{"$t":"Filipe A"},"uri":{"$t":"http:\/\/www.blogger.com\/profile\/08129530978110568538"},"email":{"$t":"noreply@blogger.com"},"gd$image":{"rel":"http://schemas.google.com/g/2005#thumbnail","width":"16","height":"16","src":"https:\/\/img1.blogblog.com\/img\/b16-rounded.gif"}}],"media$thumbnail":{"xmlns$media":"http://search.yahoo.com/mrss/","url":"http:\/\/1.bp.blogspot.com\/-dmEwkxGu31I\/VidjHGjFafI\/AAAAAAAADdM\/dyLfZrpiaqc\/s72-c\/charada.gif","height":"72","width":"72"},"thr$total":{"$t":"0"}}]}});