{"id":22669,"date":"2022-10-22T19:44:12","date_gmt":"2022-10-22T18:44:12","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=22669"},"modified":"2022-10-22T20:35:17","modified_gmt":"2022-10-22T19:35:17","slug":"verdadeiras-ou-falsas","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=22669","title":{"rendered":"Verdadeiras ou falsas?"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_22669' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_22669' class='GTTabs_curr'><a  id=\"22669_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_22669' ><a  id=\"22669_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_22669'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Diz se s\u00e3o verdadeiras ou falsas as seguintes afirma\u00e7\u00f5es. Corrige as falsas.<\/p>\n<table style=\"border-collapse: collapse; width: 100%; height: 113px;\">\n<tbody>\n<tr style=\"height: 44px;\">\n<td style=\"width: 2.08333%; height: 44px;\">a)<\/td>\n<td style=\"width: 97.7865%; height: 44px;\">\\({\\left( { &#8211; \\frac{5}{7}} \\right)^{ &#8211; 4}} \\div {\\left( { &#8211; \\frac{5}{7}} \\right)^7} = {\\left( { &#8211; \\frac{5}{7}} \\right)^{11}}\\)<\/td>\n<\/tr>\n<tr style=\"height: 23px;\">\n<td style=\"width: 2.08333%; height: 23px;\">b)<\/td>\n<td style=\"width: 97.7865%; height: 23px;\">\\(\\frac{{ &#8211; 8}}{{ &#8211; 9}} = &#8211; \\frac{8}{9}\\)<\/td>\n<\/tr>\n<tr style=\"height: 23px;\">\n<td style=\"width: 2.08333%; height: 23px;\">c)<\/td>\n<td style=\"width: 97.7865%; height: 23px;\">\\({\\left( { &#8211; \\frac{1}{3}} \\right)^2} &gt; {\\left( { &#8211; \\frac{1}{3}} \\right)^3}\\)<\/td>\n<\/tr>\n<tr style=\"height: 23px;\">\n<td style=\"width: 2.08333%; height: 23px;\">d)<\/td>\n<td style=\"width: 97.7865%; height: 23px;\">\\(2 \\times \\left( { &#8211; \\frac{1}{2} + \\frac{3}{5}} \\right) = &#8211; 1 + \\frac{3}{5}\\)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_22669' onClick='GTTabs_show(1,22669)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_22669'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p>Chama-se a aten\u00e7\u00e3o para os esclarecimentos em nota de rodap\u00e9.<\/p>\n<table style=\"border-collapse: collapse;\">\n<tbody>\n<tr>\n<td>\u00a0<\/td>\n<td>Afirma\u00e7\u00e3o<\/td>\n<td>Verdadeira ou falsa?<\/td>\n<td>Corre\u00e7\u00e3o<\/td>\n<\/tr>\n<tr>\n<td>a)<\/td>\n<td>\\({\\left( { &#8211; \\frac{5}{7}} \\right)^{ &#8211; 4}} \\div {\\left( { &#8211; \\frac{5}{7}} \\right)^7} = {\\left( { &#8211; \\frac{5}{7}} \\right)^{11}}\\)<\/td>\n<td>Falsa <sup>(1)<\/sup><\/td>\n<td>\\({\\left( { &#8211; \\frac{5}{7}} \\right)^{ &#8211; 4}} \\div {\\left( { &#8211; \\frac{5}{7}} \\right)^7} = {\\left( { &#8211; \\frac{5}{7}} \\right)^{ &#8211; 11}} = {\\left( { &#8211; \\frac{7}{5}} \\right)^{11}}\\)<\/td>\n<\/tr>\n<tr>\n<td>b)<\/td>\n<td>\\(\\frac{{ &#8211; 8}}{{ &#8211; 9}} = &#8211; \\frac{8}{9}\\)<\/td>\n<td>Falsa <sup>(2)<\/sup><\/td>\n<td>\\(\\frac{{ &#8211; 8}}{{ &#8211; 9}} = \\frac{8}{9}\\)<\/td>\n<\/tr>\n<tr>\n<td>c)<\/td>\n<td>\\({\\left( { &#8211; \\frac{1}{3}} \\right)^2} &gt; {\\left( { &#8211; \\frac{1}{3}} \\right)^3}\\)<\/td>\n<td>Verdadeira <sup>(3)<\/sup><\/td>\n<td>\u00a0<\/td>\n<\/tr>\n<tr>\n<td>d)<\/td>\n<td>\\(2 \\times \\left( { &#8211; \\frac{1}{2} + \\frac{3}{5}} \\right) = &#8211; 1 + \\frac{3}{5}\\)<\/td>\n<td>Falsa <sup>(4)<\/sup><\/td>\n<td>\\(2 \\times \\left( { &#8211; \\frac{1}{2} + \\frac{3}{5}} \\right) = &#8211; 1 + \\frac{6}{5}\\)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u00a0<\/p>\n<p><sup>(1)<\/sup><br \/>Est\u00e1 mal apurado o expoente na aplica\u00e7\u00e3o da regra da divis\u00e3o de pot\u00eancias de igual base:<\/p>\n<p>\\[{\\left( { &#8211; \\frac{5}{7}} \\right)^{ &#8211; 4}} \\div {\\left( { &#8211; \\frac{5}{7}} \\right)^7} = {\\left( { &#8211; \\frac{5}{7}} \\right)^{ &#8211; 4 &#8211; \\left( { + 7} \\right)}} = {\\left( { &#8211; \\frac{5}{7}} \\right)^{ &#8211; 4 &#8211; 7}} = {\\left( { &#8211; \\frac{5}{7}} \\right)^{ &#8211; 11}} = {\\left( { &#8211; \\frac{7}{5}} \\right)^{11}}\\]<\/p>\n<p><sup>(2)<\/sup><br \/>S\u00e3o iguais as regras de sinal na multiplica\u00e7\u00e3o e na divis\u00e3o:<\/p>\n<p>\\[\\frac{{ &#8211; 8}}{{ &#8211; 9}} = &#8211; 8 \\times \\left( { &#8211; \\frac{1}{9}} \\right) = + \\frac{8}{9}\\]<\/p>\n<p><sup>(3)<\/sup><br \/>O 1.\u00ba membro da desigualdade \u00e9 um n\u00famero positivo e o 2.\u00ba membro da desigualdade \u00e9 um n\u00famero negativo:<\/p>\n<p>\\[\\begin{array}{*{20}{c}}{{{\\left( { &#8211; \\frac{1}{3}} \\right)}^2} &gt; 0}&amp;{\\rm{e}}&amp;{{{\\left( { &#8211; \\frac{1}{3}} \\right)}^3} &lt; 0}\\end{array}\\]<\/p>\n<p><sup>(4)<\/sup><br \/>A aplica\u00e7\u00e3o da propriedade distributiva da multiplica\u00e7\u00e3o em rela\u00e7\u00e3o \u00e0 adi\u00e7\u00e3o foi feita de forma incorreta:<\/p>\n<p>\\[2 \\times \\left( { &#8211; \\frac{1}{2} + \\frac{3}{5}} \\right) = 2 \\times \\left( { &#8211; \\frac{1}{2}} \\right) + 2 \\times \\frac{3}{5} = &#8211; 1 + \\frac{6}{5}\\]<\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_22669' onClick='GTTabs_show(0,22669)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Diz se s\u00e3o verdadeiras ou falsas as seguintes afirma\u00e7\u00f5es. Corrige as falsas. a) \\({\\left( { &#8211; \\frac{5}{7}} \\right)^{ &#8211; 4}} \\div {\\left( { &#8211; \\frac{5}{7}} \\right)^7} = {\\left( { &#8211; \\frac{5}{7}}&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":19170,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,664],"tags":[424,337],"series":[],"class_list":["post-22669","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-8--ano","category-aplicando","category-numeros-reais","tag-8-o-ano","tag-regras-operatorias-de-potencias"],"views":242,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2021\/12\/Mat61.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/22669","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=22669"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/22669\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/19170"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=22669"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=22669"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=22669"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=22669"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}