{"id":22934,"date":"2022-11-03T18:05:31","date_gmt":"2022-11-03T18:05:31","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=22934"},"modified":"2022-11-03T18:28:31","modified_gmt":"2022-11-03T18:28:31","slug":"considera-o-conjunto","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=22934","title":{"rendered":"Considera o conjunto"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_22934' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_22934' class='GTTabs_curr'><a  id=\"22934_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_22934' ><a  id=\"22934_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_22934'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Considera o seguinte conjunto.<\/p>\n<p>\\[S = \\left\\{ { &#8211; 3,5;\\;\\frac{1}{7};\\;\\sqrt {109} ;\\;2,\\left( {45} \\right)} \\right\\}\\]<\/p>\n<p>Qual dos n\u00fameros do conjunto \\(S\\) corresponde a uma d\u00edzima infinita n\u00e3o peri\u00f3dica?<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_22934' onClick='GTTabs_show(1,22934)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_22934'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<blockquote>\n<p>Recorda-se que os n\u00fameros racionais podem ser representados na forma de fra\u00e7\u00e3o, quer na forma de d\u00edzima finita ou infinita peri\u00f3dica.<\/p>\n<\/blockquote>\n<p>\\[S = \\left\\{ { &#8211; 3,5;\\;\\frac{1}{7};\\;\\sqrt {109} ;\\;2,\\left( {45} \\right)} \\right\\}\\]<\/p>\n<p>O n\u00famero do conjunto \\(S\\) que corresponde a uma d\u00edzima infinita n\u00e3o peri\u00f3dica \u00e9 \\({\\sqrt {109} }\\).<\/p>\n<table style=\"border-collapse: collapse;\">\n<tbody>\n<tr>\n<td><strong>N\u00famero<\/strong><\/td>\n<td><strong>Tipo de d\u00edzima<\/strong><\/td>\n<td><strong>Explica\u00e7\u00e3o<\/strong><\/td>\n<\/tr>\n<tr>\n<td>\\({ &#8211; 3,5}\\)<\/td>\n<td>D\u00edzima finita<\/td>\n<td>\u00c9 manifesto o tipo de d\u00edzima.<\/td>\n<\/tr>\n<tr>\n<td>\\({\\frac{1}{7}}\\)<\/td>\n<td>D\u00edzima infinita peri\u00f3dica<\/td>\n<td>A fra\u00e7\u00e3o n\u00e3o \u00e9 equivalente a uma fra\u00e7\u00e3o decimal, por isso a d\u00edzima \u00e9 infinita peri\u00f3dica.<\/td>\n<\/tr>\n<tr>\n<td>\\({\\sqrt {109} }\\)<\/td>\n<td>D\u00edzima infinita n\u00e3o peri\u00f3dica<\/td>\n<td>\\({109}\\) n\u00e3o \u00e9 um quadrado perfeito. Por isso, \\({\\sqrt {109} }\\) \u00e9 um n\u00famero irracional.\u00a0<\/td>\n<\/tr>\n<tr>\n<td>\\({2,\\left( {45} \\right)}\\)<\/td>\n<td>D\u00edzima infinita peri\u00f3dica<\/td>\n<td>\u00c9 manifesto o tipo de d\u00edzima.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u00a0<\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_22934' onClick='GTTabs_show(0,22934)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Considera o seguinte conjunto. \\[S = \\left\\{ { &#8211; 3,5;\\;\\frac{1}{7};\\;\\sqrt {109} ;\\;2,\\left( {45} \\right)} \\right\\}\\] Qual dos n\u00fameros do conjunto \\(S\\) corresponde a uma d\u00edzima infinita n\u00e3o peri\u00f3dica? Resolu\u00e7\u00e3o &gt;&gt; Resolu\u00e7\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":[100,97,664],"tags":[424,259,262,266],"series":[],"class_list":["post-22934","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-8--ano","category-aplicando","category-numeros-reais","tag-8-o-ano","tag-numeros-irracionais","tag-numeros-racionais","tag-numeros-reais"],"views":193,"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\/22934","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=22934"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/22934\/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=22934"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=22934"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=22934"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=22934"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}