{"id":11032,"date":"2012-10-26T15:37:42","date_gmt":"2012-10-26T14:37:42","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=11032"},"modified":"2022-01-02T01:16:34","modified_gmt":"2022-01-02T01:16:34","slug":"qual-a-ordem-para-efetuar-as-operacoes","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=11032","title":{"rendered":"Qual a ordem para efetuar as opera\u00e7\u00f5es?"},"content":{"rendered":"<p><ul id='GTTabs_ul_11032' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_11032' class='GTTabs_curr'><a  id=\"11032_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_11032' ><a  id=\"11032_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_11032'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Considera as seguintes express\u00f5es num\u00e9ricas:<\/p>\n<p style=\"text-align: center;\"><strong>A<\/strong>: $7 + {9^2} \\div 3$\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <strong>B<\/strong>: $\\left( {{2^3} &#8211; 9} \\right) \\times 5 + 5$<\/p>\n<ol>\n<li>Em cada uma delas, qual \u00e9 a ordem pela qual deves efetuar as opera\u00e7\u00f5es?<\/li>\n<li>Encontra o valor num\u00e9rico de cada uma das express\u00f5es.<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_11032' onClick='GTTabs_show(1,11032)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_11032'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p style=\"text-align: center;\"><strong>A<\/strong>: $7 + {9^2} \\div 3$\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <strong>B<\/strong>: $\\left( {{2^3} &#8211; 9} \\right) \\times 5 + 5$<\/p>\n<ol>\n<li>Na express\u00e3o A, devo efetuar em primeiro lugar o c\u00e1lculo da pot\u00eancia, de seguida a divis\u00e3o e, finalmente, a adi\u00e7\u00e3o.\n<p>Na express\u00e3o B, optando pelo c\u00e1lculo do par\u00eantesis, devo em primeiro lugar calcular a pot\u00eancia, de seguida a subtra\u00e7\u00e3o dentro do par\u00eantesis, depois a multiplica\u00e7\u00e3o e, finalmente, a adi\u00e7\u00e3o.<\/p>\n<\/li>\n<li>Quanto \u00e0 express\u00e3o A, temos:\n<p>$$\\begin{array}{*{20}{l}} \u00a0 {7 + {9^2} \\div 3}&amp; = &amp;{7 + 81 \\div 3} \\\\ \u00a0 {}&amp; = &amp;{7 + 27} \\\\ \u00a0 {}&amp; = &amp;{34} \\end{array}$$<\/p>\n<p>Quanto \u00e0 express\u00e3o B, temos:<\/p>\n<p>$$\\begin{array}{*{20}{l}} \u00a0 {\\left( {{2^3} &#8211; 9} \\right) \\times 5 + 5}&amp; = &amp;{\\left( {8 &#8211; 9} \\right) \\times 5 + 5} \\\\ \u00a0 {}&amp; = &amp;{ &#8211; 1 \\times 5 + 5} \\\\ \u00a0 {}&amp; = &amp;{ &#8211; 5 + 5} \\\\ \u00a0 {}&amp; = &amp;0 \\end{array}$$<\/p>\n<p>Em alternativa, podemos optar pela aplica\u00e7\u00e3o da propriedade distributiva da multiplica\u00e7\u00e3o em rela\u00e7\u00e3o \u00e0 adi\u00e7\u00e3o em vez de calcular o par\u00eantesis:<\/p>\n<p>$$\\begin{array}{*{20}{l}} \u00a0 {\\left( {{2^3} &#8211; 9} \\right) \\times 5 + 5}&amp; = &amp;{\\left( {8 &#8211; 9} \\right) \\times 5 + 5} \\\\ \u00a0 {}&amp; = &amp;{40 &#8211; 45 + 5} \\\\ \u00a0 {}&amp; = &amp;0 \\end{array}$$<\/p>\n<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_11032' onClick='GTTabs_show(0,11032)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Considera as seguintes express\u00f5es num\u00e9ricas: A: $7 + {9^2} \\div 3$\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 B: $\\left( {{2^3} &#8211; 9} \\right) \\times 5 + 5$ Em cada uma delas, qual \u00e9 a ordem pela qual&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":19272,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[317,97,318],"tags":[428,330,320,319,142],"series":[],"class_list":["post-11032","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-multiplicacao","tag-numeros-inteiros-2","tag-potencias"],"views":1188,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2021\/12\/Mat93.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/11032","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=11032"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/11032\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/19272"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=11032"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=11032"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=11032"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=11032"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}