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{"id":10268,"date":"2012-10-13T12:21:13","date_gmt":"2012-10-13T11:21:13","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=10268"},"modified":"2021-12-31T23:08:25","modified_gmt":"2021-12-31T23:08:25","slug":"calcula-por-dois-processos-diferentes","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=10268","title":{"rendered":"Calcula, por dois processos diferentes"},"content":{"rendered":"<p><ul id='GTTabs_ul_10268' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_10268' class='GTTabs_curr'><a  id=\"10268_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_10268' ><a  id=\"10268_1\" onMouseOver=\"GTTabsShowLinks('Resolu\u00e7\u00e3o'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Resolu\u00e7\u00e3o<\/a><\/li>\n<\/ul>\n\n<div class='GTTabs_divs GTTabs_curr_div' id='GTTabs_0_10268'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Calcula, por dois processos diferentes:<\/p>\n<ol>\n<li>$2 \\times \\left( { &#8211; 5 &#8211; 1} \\right)$<\/li>\n<li>$ &#8211; 3 \\times \\left( { &#8211; 2 + 7} \\right)$<\/li>\n<li>$4 \\times \\left( {10 &#8211; 2} \\right)$<\/li>\n<li>$ &#8211; 5 \\times \\left( { &#8211; 3 + 6} \\right)$<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_10268' onClick='GTTabs_show(1,10268)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_10268'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<ol>\n<li>Calculando o par\u00eantesis, vem:<br \/>\n$$\\begin{array}{*{20}{l}} \u00a0 {2 \\times \\left( { &#8211; 5 &#8211; 1} \\right)}&amp; = &amp;{2 \\times \\left( { &#8211; 6} \\right)} \\\\ \u00a0 {}&amp; = &amp;{ &#8211; 12} \\end{array}$$<br \/>\nAplicando a propriedade distributiva da multiplica\u00e7\u00e3o em rela\u00e7\u00e3o \u00e0 adi\u00e7\u00e3o, vem:<br \/>\n$$\\begin{array}{*{20}{l}} \u00a0 {2 \\times \\left( { &#8211; 5 &#8211; 1} \\right)}&amp; = &amp;{2 \\times \\left( { &#8211; 5} \\right) + 2 \\times \\left( { &#8211; 1} \\right)} \\\\ \u00a0 {}&amp; = &amp;{ &#8211; 10 + \\left( { &#8211; 2} \\right)} \\\\ \u00a0 {}&amp; = &amp;{ &#8211; 10 &#8211; 2} \\\\ \u00a0 {}&amp; = &amp;{ &#8211; 12} \\end{array}$$<br \/>\nou, simplificando a escrita:<br \/>\n$$\\begin{array}{*{20}{l}}\u00a0\u00a0 {2 \\times \\left( { &#8211; 5 &#8211; 1} \\right)}&amp; = &amp;{2 \\times \\left( { &#8211; 5} \\right) + 2 \\times \\left( { &#8211; 1} \\right)} \\\\\u00a0\u00a0 {}&amp; = &amp;{ &#8211; 10 &#8211; 2} \\\\\u00a0\u00a0 {}&amp; = &amp;{ &#8211; 12} \\end{array}$$<br \/>\n\u00ad<\/li>\n<li>Calculando o par\u00eantesis, vem:<br \/>\n$$\\begin{array}{*{20}{l}} \u00a0 { &#8211; 3 \\times \\left( { &#8211; 2 + 7} \\right)}&amp; = &amp;{ &#8211; 3 \\times 5} \\\\ \u00a0 {}&amp; = &amp;{ &#8211; 15} \\end{array}$$<br \/>\nAplicando a propriedade distributiva da multiplica\u00e7\u00e3o em rela\u00e7\u00e3o \u00e0 adi\u00e7\u00e3o, vem:<br \/>\n$$\\begin{array}{*{20}{l}} \u00a0 { &#8211; 3 \\times \\left( { &#8211; 2 + 7} \\right)}&amp; = &amp;{ &#8211; 3 \\times \\left( { &#8211; 2} \\right) + \\left( { &#8211; 3} \\right) \\times 7} \\\\ \u00a0 {}&amp; = &amp;{6 + \\left( { &#8211; 21} \\right)} \\\\ \u00a0 {}&amp; = &amp;{6 &#8211; 21} \\\\ \u00a0 {}&amp; = &amp;{ &#8211; 15} \\end{array}$$<br \/>\nou, simplificando a escrita:<br \/>\n$$\\begin{array}{*{20}{l}} \u00a0 { &#8211; 3 \\times \\left( { &#8211; 2 + 7} \\right)}&amp; = &amp;{ &#8211; 3 \\times \\left( { &#8211; 2} \\right) &#8211; 3 \\times 7} \\\\ \u00a0 {}&amp; = &amp;{6 &#8211; 21} \\\\ \u00a0 {}&amp; = &amp;{ &#8211; 15} \\end{array}$$<br \/>\n\u00ad<\/li>\n<li>Calculando o par\u00eantesis, vem:<br \/>\n$$\\begin{array}{*{20}{l}} \u00a0 {4 \\times \\left( {10 &#8211; 2} \\right)}&amp; = &amp;{4 \\times 8} \\\\ \u00a0 {}&amp; = &amp;{32} \\end{array}$$<br \/>\nAplicando a propriedade distributiva da multiplica\u00e7\u00e3o em rela\u00e7\u00e3o \u00e0 adi\u00e7\u00e3o (e simplificando a escrita em simult\u00e2neo), vem:<br \/>\n$$\\begin{array}{*{20}{l}} \u00a0 {4 \\times \\left( {10 &#8211; 2} \\right)}&amp; = &amp;{4 \\times 10 + 4 \\times \\left( { &#8211; 2} \\right)} \\\\ \u00a0 {}&amp; = &amp;{40 &#8211; 8} \\\\ \u00a0 {}&amp; = &amp;{32} \\end{array}$$<br \/>\n\u00ad<\/li>\n<li>Calculando o par\u00eantesis, vem:<br \/>\n$$\\begin{array}{*{20}{l}} \u00a0 { &#8211; 5 \\times \\left( { &#8211; 3 + 6} \\right)}&amp; = &amp;{ &#8211; 5 \\times 3} \\\\ \u00a0 {}&amp; = &amp;{ &#8211; 15} \\end{array}$$<br \/>\nAplicando a propriedade distributiva da multiplica\u00e7\u00e3o em rela\u00e7\u00e3o \u00e0 adi\u00e7\u00e3o (e simplificando a escrita em simult\u00e2neo), vem:<br \/>\n$$\\begin{array}{*{20}{l}} \u00a0 { &#8211; 5 \\times \\left( { &#8211; 3 + 6} \\right)}&amp; = &amp;{ &#8211; 5 \\times \\left( { &#8211; 3} \\right) &#8211; 5 \\times 6} \\\\ \u00a0 {}&amp; = &amp;{15 &#8211; 30} \\\\ \u00a0 {}&amp; = &amp;{ &#8211; 15} \\end{array}$$<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_10268' onClick='GTTabs_show(0,10268)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Calcula, por dois processos diferentes: $2 \\times \\left( { &#8211; 5 &#8211; 1} \\right)$ $ &#8211; 3 \\times \\left( { &#8211; 2 + 7} \\right)$ $4 \\times \\left( {10 &#8211; 2}&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":19301,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[317,97,318],"tags":[428,320,327],"series":[],"class_list":["post-10268","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-7-o-ano","category-aplicando","category-numeros-inteiros","tag-7-o-ano","tag-multiplicacao","tag-propriedades-da-multiplicacao"],"views":2084,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2021\/12\/Mat111.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/10268","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=10268"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/10268\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/19301"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=10268"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=10268"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=10268"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=10268"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}