{"id":220926,"date":"2024-06-25T21:12:38","date_gmt":"2024-06-26T00:12:38","guid":{"rendered":"http:\/\/clubes.obmep.org.br\/blog\/?page_id=220926"},"modified":"2024-06-25T21:12:38","modified_gmt":"2024-06-26T00:12:38","slug":"a-problema-para-ajudar-na-escola-multiplicando-diferente","status":"publish","type":"page","link":"https:\/\/clubes.obmep.org.br\/blog\/a-problema-para-ajudar-na-escola-multiplicando-diferente\/","title":{"rendered":"(A) Problema para ajudar na escola: Multiplicando diferente"},"content":{"rendered":"<p class=\"ti3\"  style=\"text-align:center;\">Clique no bot\u00e3o abaixo para visualizar o problema.<\/p>\n<div style=\"text-align:center;margin-top:10px;\">\n<input class=\"bo1 c1 cb13\" style=\"width:150px;\" value=\"Problema\" title=\"Clique aqui\" type=\"button\" onclick=    \"if(this.parentNode.getElementsByTagName('div')[0].style.display != ''){this.parentNode.getElementsByTagName('div')[0].style.display = '';this.value = 'Ocultar';} else{this.parentNode.getElementsByTagName('div')[0].style.display = 'none'; this.value = 'Problema';}\" \/>  <\/p>\n<div style=\"display: none;\">\n<p style=\"margin:10px\">\n<div class=\"g1n\" style=\"line-height:25px;padding-bottom:15px; margin-bottom:40px;\">\n<p class=\"tit\" style=\"line-height:20px;margin:10px\">Problema<br \/>\n<span style=\"font-size:12px;color:#FF8C00;\"> (A partir do 6\u00ba ano do E. F.- <span style=\"font-weight: normal;\"> N\u00edvel de dificuldade: F\u00e1cil<\/span>)<\/span><\/p>\n<hr style=\"height:1px; width:100%;background-color:#800000; margin-top: 10px; margin-bottom: 20px;border: 0 none\"\/>\nExistem algumas t\u00e9cnicas de se fazer multiplica\u00e7\u00f5es bem rapidinho&#8230;<br \/>\nUma delas pode ser utilizada quando vamos multiplicar dois n\u00fameros com dois algarismos cada tais que:<\/p>\n<ul>\n<li> os algarismos das dezenas s\u00e3o iguais;<\/li>\n<li> a soma dos algarismos das unidades \u00e9 [tex]10[\/tex].<\/li>\n<\/ul>\n<p>Veja o M\u00e9todo, exemplificado para a multiplica\u00e7\u00e3o [tex]42 \\times 48[\/tex].<\/p>\n<p style=\"margin:10px;\">\n<p style=\"font-size:22px; text-align:center\"\"><strong>M\u00e9todo<\/strong><\/p>\n<p style=\"font-size:22px; text-align:center\">[tex]\\textcolor{red}{4}\\textcolor{blue}{2} \\times \\textcolor{red}{4}\\textcolor{blue}{8}=???[\/tex]<\/p>\n<p><strong>Verifica\u00e7\u00e3o das condi\u00e7\u00f5es:<\/strong><br \/>\n<span style=\"font-size:22px\">[tex]\\qquad \\qquad\\textcolor{red}{4=4\\;}[\/tex] e [tex]\\;\\textcolor{blue}{8+2=10}[\/tex]<\/span><\/p>\n<p style=\"margin:10px;\">\n<p><strong>Passo 1 &#8211;<\/strong>   O resultado \u00e9 um n\u00famero de tr\u00eas ou quatro algarismos, ent\u00e3o j\u00e1 deixe quatro tracinhos em branco, preparados para receber os d\u00edgitos do produto final.<br \/>\n<span style=\"font-size:22px\">[tex]\\qquad \\qquad \\textcolor{red}{4}\\textcolor{blue}{2} \\times \\textcolor{red}{4}\\textcolor{blue}{8}=\\underline{\\quad}\\;\\underline{\\quad}\\;\\underline{\\quad}\\;\\underline{\\quad}[\/tex]<\/span><\/p>\n<p style=\"margin:10px;\">\n<p><strong>Passo 2 &#8211; <\/strong>Nos dois \u00faltimos tracinhos, escreva o produto dos \u00faltimos algarismos dos dois n\u00fameros (d\u00edgitos azuis). <span style=\"font-size:11px\"> Se os algarismos forem [tex]1[\/tex] e [tex]9[\/tex], os tracinhos devem ser completados com [tex]09\\,.[\/tex]<\/span><br \/>\n<span style=\"font-size:22px\">[tex]\\qquad \\qquad \\textcolor{red}{4}\\textcolor{blue}{2} \\times \\textcolor{red}{4}\\textcolor{blue}{8}=\\underline{\\quad}\\;\\underline{\\quad}\\;\\underbrace{\\underline{1}\\;\\underline{6}}_{2\\times 8}[\/tex]<\/span><\/p>\n<p style=\"margin:10px;\">\n<p><strong>Passo 3 &#8211;<\/strong> Nos dois primeiros tracinhos, escreva o produto entre o algarismo comum aos dois n\u00fameros (d\u00edgito vermelho) e o seu sucessor.<br \/>\n<span style=\"font-size:22px\">[tex]\\qquad \\qquad \\textcolor{red}{4}\\textcolor{blue}{2} \\times \\textcolor{red}{4}\\textcolor{blue}{8}=\\underbrace{\\underline{2}\\;\\underline{0}}_{4\\times 5}\\;\\underline{1}\\;\\underline{6}[\/tex]<\/span><\/p>\n<p style=\"margin:10px;\">\n<p><span style=\"font-size:22px\"><strong>Resultado:<\/strong> [tex]\\boxed{42 \\times 48=2016}[\/tex].<\/span><\/p>\n<p style=\"margin:30px\">\n<p><strong>Aplique o m\u00e9todo para as multiplica\u00e7\u00f5es abaixo indicadas e confira o resultado final deste m\u00e9todo fazendo o m\u00e9todo que voc\u00ea est\u00e1 habituado a utilizar:<\/strong><\/p>\n<p><span style=\"font-size:22px\">[tex]\\qquad \\textcolor{red}{8}\\textcolor{blue}{4} \\times \\textcolor{red}{8}\\textcolor{blue}{6}[\/tex];<\/span><\/p>\n<p><span style=\"font-size:22px\">[tex]\\qquad \\textcolor{red}{2}\\textcolor{blue}{7} \\times \\textcolor{red}{2}\\textcolor{blue}{3}[\/tex];<\/span><\/p>\n<p><span style=\"font-size:22px\">[tex]\\qquad \\textcolor{red}{7}\\textcolor{blue}{2} \\times \\textcolor{red}{7}\\textcolor{blue}{8}[\/tex];<\/span><\/p>\n<p><span style=\"font-size:22px\">[tex]\\qquad \\textcolor{red}{3}\\textcolor{blue}{8} \\times \\textcolor{red}{3}\\textcolor{blue}{2}[\/tex].<\/span><\/p>\n<\/div>\n<div class=\"g1n\" style=\"line-height:32px;\">\n<p class=\"tit\" style=\"line-height:30px;margin:10px\">Solu\u00e7\u00e3o<\/p>\n<hr style=\"height:1px; width:100%;background-color:#800000; margin-top: 1px; margin-bottom: 20px;border: 0 none\"\/>\n<strong>(1)<\/strong> [tex]\\textcolor{red}{8}\\textcolor{blue}{4} \\times \\textcolor{red}{8}\\textcolor{blue}{6}=???[\/tex]<br \/>\n<span style=\"padding-left:30px\"><\/span><strong>Verifica\u00e7\u00e3o das condi\u00e7\u00f5es: <\/strong>[tex]\\textcolor{red}{8=8\\;}[\/tex] e [tex]\\;\\textcolor{blue}{6+4=10}[\/tex]<br \/>\n<strong>Passo 1:<\/strong> [tex] \\textcolor{red}{8}\\textcolor{blue}{4} \\times \\textcolor{red}{8}\\textcolor{blue}{6}=\\underline{\\quad}\\;\\underline{\\quad}\\;\\underline{\\quad}\\;\\underline{\\quad}[\/tex]<br \/>\n<strong>Passo 2:<\/strong> [tex]  \\textcolor{red}{8}\\textcolor{blue}{4} \\times \\textcolor{red}{8}\\textcolor{blue}{6}=\\underline{\\quad}\\;\\underline{\\quad}\\;\\underbrace{\\underline{2}\\;\\underline{4}}_{4\\times 6}[\/tex]<br \/>\n<strong>Passo 3:<\/strong> [tex]  \\textcolor{red}{8}\\textcolor{blue}{4} \\times \\textcolor{red}{8}\\textcolor{blue}{6}=\\underbrace{\\underline{7}\\;\\underline{2}}_{8\\times 9}\\;\\underline{2}\\;\\underline{4}[\/tex]<br \/>\n<strong>Resultado:<\/strong> [tex]\\boxed{84 \\times 86=7224}[\/tex].<\/p>\n<p style=\"margin:10px\">\n<p><strong>(2)<\/strong> [tex]\\textcolor{red}{2}\\textcolor{blue}{7} \\times \\textcolor{red}{2}\\textcolor{blue}{3}=???[\/tex]<br \/>\n<span style=\"padding-left:30px\"><\/span><strong>Verifica\u00e7\u00e3o das condi\u00e7\u00f5es: <\/strong>[tex]\\textcolor{red}{2=2\\;}[\/tex] e [tex]\\;\\textcolor{blue}{7+3=10}[\/tex]<br \/>\n<strong>Passo 1:<\/strong> [tex] \\textcolor{red}{2}\\textcolor{blue}{7} \\times \\textcolor{red}{2}\\textcolor{blue}{3}=\\underline{\\quad}\\;\\underline{\\quad}\\;\\underline{\\quad}\\;\\underline{\\quad}[\/tex]<br \/>\n<strong>Passo 2:<\/strong> [tex]  \\textcolor{red}{2}\\textcolor{blue}{7} \\times \\textcolor{red}{2}\\textcolor{blue}{3}=\\underline{\\quad}\\;\\underline{\\quad}\\;\\underbrace{\\underline{2}\\;\\underline{1}}_{7\\times 3}[\/tex]<br \/>\n<strong>Passo 3:<\/strong> [tex]  \\textcolor{red}{2}\\textcolor{blue}{7} \\times \\textcolor{red}{2}\\textcolor{blue}{3}=\\underbrace{\\underline{0}\\;\\underline{6}}_{2\\times 3}\\;\\underline{2}\\;\\underline{1}[\/tex]<br \/>\n<strong>Resultado:<\/strong> [tex]\\boxed{27 \\times 23=621}[\/tex].<\/p>\n<p style=\"margin:10px\">\n<p><strong>(3)<\/strong> [tex]\\textcolor{red}{7}\\textcolor{blue}{2} \\times \\textcolor{red}{7}\\textcolor{blue}{8}=???[\/tex]<br \/>\n<span style=\"padding-left:30px\"><\/span><strong>Verifica\u00e7\u00e3o das condi\u00e7\u00f5es: <\/strong>[tex]\\textcolor{red}{7=7\\;}[\/tex] e [tex]\\;\\textcolor{blue}{2+8=10}[\/tex]<br \/>\n<strong>Passo 1:<\/strong> [tex] \\textcolor{red}{7}\\textcolor{blue}{2} \\times \\textcolor{red}{7}\\textcolor{blue}{8}=\\underline{\\quad}\\;\\underline{\\quad}\\;\\underline{\\quad}\\;\\underline{\\quad}[\/tex]<br \/>\n<strong>Passo 2:<\/strong> [tex]  \\textcolor{red}{7}\\textcolor{blue}{2} \\times \\textcolor{red}{7}\\textcolor{blue}{8}=\\underline{\\quad}\\;\\underline{\\quad}\\;\\underbrace{\\underline{1}\\;\\underline{6}}_{2\\times 8}[\/tex]<br \/>\n<strong>Passo 3:<\/strong> [tex]  \\textcolor{red}{7}\\textcolor{blue}{2} \\times \\textcolor{red}{7}\\textcolor{blue}{8}=\\underbrace{\\underline{5}\\;\\underline{6}}_{7\\times 8}\\;\\underline{1}\\;\\underline{6}[\/tex]<br \/>\n<strong>Resultado:<\/strong> [tex]\\boxed{72 \\times 78=5616}[\/tex].<\/p>\n<p style=\"margin:10px\">\n<p><strong>(4)<\/strong> [tex]\\textcolor{red}{3}\\textcolor{blue}{8} \\times \\textcolor{red}{3}\\textcolor{blue}{2}=???[\/tex]<br \/>\n<span style=\"padding-left:30px\"><\/span><strong>Verifica\u00e7\u00e3o das condi\u00e7\u00f5es: <\/strong>[tex]\\textcolor{red}{3=3\\;}[\/tex] e [tex]\\;\\textcolor{blue}{8+2=10}[\/tex]<br \/>\n<strong>Passo 1:<\/strong> [tex] \\textcolor{red}{3}\\textcolor{blue}{8} \\times \\textcolor{red}{3}\\textcolor{blue}{2}=\\underline{\\quad}\\;\\underline{\\quad}\\;\\underline{\\quad}\\;\\underline{\\quad}[\/tex]<br \/>\n<strong>Passo 2:<\/strong> [tex]  \\textcolor{red}{3}\\textcolor{blue}{8} \\times \\textcolor{red}{3}\\textcolor{blue}{2}=\\underline{\\quad}\\;\\underline{\\quad}\\;\\underbrace{\\underline{1}\\;\\underline{6}}_{8\\times 2}[\/tex]<br \/>\n<strong>Passo 3:<\/strong> [tex]  \\textcolor{red}{3}\\textcolor{blue}{8} \\times \\textcolor{red}{3}\\textcolor{blue}{2}=\\underbrace{\\underline{1}\\;\\underline{2}}_{3\\times 4}\\;\\underline{1}\\;\\underline{6}[\/tex]<br \/>\n<strong>Resultado:<\/strong> [tex]\\boxed{38 \\times 32=1216}[\/tex].<\/p>\n<hr style=\"height:1px; width:100%;background-color:#800000; margin-top: 10px; margin-bottom: 15px;border: 0 none\"\/>\n<p class=\"g2\" style=\"line-height:20px;\">Solu\u00e7\u00e3o elaborada pelos <strong>Moderadores do Blog<\/strong>.<\/p>\n<\/div>\n<p style=\"margin:20px\">\n<table style=\" height:auto; margin-left: auto; margin-right: auto;width:640px;\">\n<tr>\n<td class=\"bf\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-1001 alignright\" style=\"border: 0px;\" alt=\"\" src=\"http:\/\/clubes.obmep.org.br\/blog\/wp-content\/uploads\/2013\/01\/menino.jpg\" width=\"80\" height=\"115\" \/><\/td>\n<td class=\"bf\">\n<p class=\"fala\" style=\"width:520px;background-color: #FFF5EE; padding:10px; font-family: calibri; font-size: 13px;color: #1C1C1C; line-height: 20px; \"> Se for conveniente, voc\u00ea pode obter um arquivo PDF desta p\u00e1gina, com o problema e a solu\u00e7\u00e3o, clicando no bot\u00e3o abaixo.<br \/>\nVoc\u00ea pode abrir o arquivo diretamente no seu navegador (<em>Chrome<\/em>, <em>Edge<\/em>, <em>Firefox<\/em>, <em>Safari<\/em>, entre outros), mas tamb\u00e9m pode utilizar o software gratuito <em><strong>Adobe Acrobat Reader<\/strong><\/em>.<br \/>\nCaso o dispositivo que voc\u00ea est\u00e1 utilizando n\u00e3o tenha o <strong><em>Acrobat Reader<\/em><\/strong> instalado, \u00e9 s\u00f3 clicar <a href=\"http:\/\/get.adobe.com\/br\/reader\/\" rel=\"noopener\" target=\"_blank\"><strong>AQUI<\/strong><\/a> para fazer o download adequado ao seu dispositivo.<\/p>\n<\/td>\n<\/tr>\n<\/table>\n<div style=\" float:right;  width: 100px;\">\n<p style=\"text-align: center; border-style: dotted; border-color :#FFFAFA; border-width :thin; width:90px;  height:40px;  padding: 5px; background-color: #800000;\">\n<a href=\"http:\/\/clubes.obmep.org.br\/blog\/wp-content\/uploads\/2020\/09\/Multiplicando-diferente.pdf\" title=\" Arquivo PDF\" download=\"Clubes_ Multiplicando diferente.pdf\"><span style=\"color: #FFFAFA; font-family: georgia; font-size: 16px;\"><strong>Arquivo <\/strong><\/span><\/a>\n <\/p>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Clique no bot\u00e3o abaixo para visualizar o problema. Problema (A partir do 6\u00ba ano do E. F.- N\u00edvel de dificuldade: F\u00e1cil) Existem algumas t\u00e9cnicas de se fazer multiplica\u00e7\u00f5es bem rapidinho&#8230; Uma delas pode ser utilizada quando vamos multiplicar dois n\u00fameros com dois algarismos cada tais que: os algarismos das dezenas s\u00e3o iguais; a soma dos &hellip; <\/p>\n<p><a class=\"more-link btn\" href=\"https:\/\/clubes.obmep.org.br\/blog\/a-problema-para-ajudar-na-escola-multiplicando-diferente\/\">Continue lendo<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"template-onecolumn.php","meta":{"footnotes":""},"class_list":["post-220926","page","type-page","status-publish","hentry","nodate","item-wrap"],"_links":{"self":[{"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/pages\/220926","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/comments?post=220926"}],"version-history":[{"count":1,"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/pages\/220926\/revisions"}],"predecessor-version":[{"id":220927,"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/pages\/220926\/revisions\/220927"}],"wp:attachment":[{"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/media?parent=220926"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}