{"id":10633,"date":"2012-10-20T16:04:42","date_gmt":"2012-10-20T15:04:42","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=10633"},"modified":"2022-01-01T11:59:11","modified_gmt":"2022-01-01T11:59:11","slug":"calcula-5","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=10633","title":{"rendered":"Calcula"},"content":{"rendered":"<p><ul id='GTTabs_ul_10633' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_10633' class='GTTabs_curr'><a  id=\"10633_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_10633' ><a  id=\"10633_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_10633'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Calcula $ &#8211; 32 \\div \\left( { &#8211; 4 + 2} \\right)$ e $ &#8211; 32 \\div \\left( { &#8211; 4} \\right) &#8211; 32 \\div 2$ e conclui se a divis\u00e3o goza da propriedade distributiva em rela\u00e7\u00e3o \u00e0 adi\u00e7\u00e3o.<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_10633' onClick='GTTabs_show(1,10633)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_10633'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p>Comecemos por calcular o valor de cada uma das express\u00f5es:<\/p>\n<p>$$\\begin{array}{*{20}{l}}<br \/>\n{ &#8211; 32 \\div \\left( { &#8211; 4 + 2} \\right)}&amp; = &amp;{ &#8211; 32 \\div \\left( { &#8211; 2} \\right)} \\\\<br \/>\n{}&amp; = &amp;{16}<br \/>\n\\end{array}$$<\/p>\n<p>$$\\begin{array}{*{20}{l}}<br \/>\n{ &#8211; 32 \\div \\left( { &#8211; 4} \\right) &#8211; 32 \\div 2}&amp; = &amp;{8 &#8211; 16} \\\\<br \/>\n{}&amp; = &amp;{ &#8211; 8}<br \/>\n\\end{array}$$<\/p>\n<p>Como $\\begin{array}{*{20}{c}}<br \/>\n{ &#8211; 32 \\div \\left( { &#8211; 4 + 2} \\right)}&amp; \\ne &amp;{ &#8211; 32 \\div \\left( { &#8211; 4} \\right) &#8211; 32 \\div 2}<br \/>\n\\end{array}$, a divis\u00e3o <strong>n\u00e3o goza<\/strong> da propriedade distributiva em rela\u00e7\u00e3o \u00e0 adi\u00e7\u00e3o.<\/p>\n<p>\u00ad<\/p>\n<p><strong>Nota<\/strong>:<\/p>\n<p>Contudo, a divis\u00e3o goza <span style=\"text-decoration: underline;\">parcialmente<\/span> da propriedade distributiva no caso da adi\u00e7\u00e3o figurar como dividendo. Por exemplo:<\/p>\n<p>$$\\begin{array}{*{20}{c}}<br \/>\n{\\left( {16 &#8211; 24} \\right) \\div 4}&amp; = &amp;{16 \\div 4 &#8211; 24 \\div 4} \\\\<br \/>\n{ &#8211; 8 \\div 4}&amp; = &amp;{4 &#8211; 6} \\\\<br \/>\n{ &#8211; 2}&amp; = &amp;{ &#8211; 2}<br \/>\n\\end{array}$$<\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_10633' onClick='GTTabs_show(0,10633)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Calcula $ &#8211; 32 \\div \\left( { &#8211; 4 + 2} \\right)$ e $ &#8211; 32 \\div \\left( { &#8211; 4} \\right) &#8211; 32 \\div 2$ e conclui se a divis\u00e3o&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":14114,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[317,97,318],"tags":[428,330,319],"series":[],"class_list":["post-10633","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-divisao","tag-numeros-inteiros-2"],"views":1824,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/Mat56.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/10633","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=10633"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/10633\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/14114"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=10633"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=10633"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=10633"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=10633"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}