{"id":22896,"date":"2022-11-02T18:33:48","date_gmt":"2022-11-02T18:33:48","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=22896"},"modified":"2022-11-02T19:02:03","modified_gmt":"2022-11-02T19:02:03","slug":"verdadeiro-ou-falso-4","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=22896","title":{"rendered":"Verdadeiro ou falso?"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_22896' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_22896' class='GTTabs_curr'><a  id=\"22896_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_22896' ><a  id=\"22896_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_22896'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Verdadeiro ou falso? Justifica.<\/p>\n<ol style=\"list-style-type: lower-alpha;\">\n<li>\\( &#8211; 8\\) \u00e9 um n\u00famero inteiro, logo \u00e9 racional;<\/li>\n<li>\\(7,516\\) \u00e9 uma d\u00edzima finita, logo \u00e9 um n\u00famero racional;<\/li>\n<li>\\(0,\\left( {49} \\right)\\) \u00e9 um n\u00famero irracional;<\/li>\n<li>\\( &#8211; 3\\) \u00e9 um n\u00famero natural;<\/li>\n<li>\\(\\sqrt 5 \\) \u00e9 representado por uma d\u00edzima infinita n\u00e3o peri\u00f3dica, logo \u00e9 irracional;<\/li>\n<li>\\( &#8211; 4\\) \u00e9 um n\u00famero real;<\/li>\n<li>\\(\\frac{{\\sqrt {25} }}{3}\\) \u00e9 um n\u00famero racional.<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_22896' onClick='GTTabs_show(1,22896)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_22896'>\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>\u00a0<\/p>\n<table style=\"border-collapse: collapse;\">\n<tbody>\n<tr>\n<td><strong>Al\u00ednea<\/strong><\/td>\n<td><strong>Afirma\u00e7\u00e3o<\/strong><\/td>\n<td><strong>V\/F<\/strong><\/td>\n<td><strong>Justifica\u00e7\u00e3o<\/strong><\/td>\n<\/tr>\n<tr>\n<td>a)<\/td>\n<td>\\( &#8211; 8\\) \u00e9 um n\u00famero inteiro, logo \u00e9 racional<\/td>\n<td>V<\/td>\n<td>Os n\u00fameros inteiros podem representar-se por fra\u00e7\u00f5es impr\u00f3prias.<\/td>\n<\/tr>\n<tr>\n<td>b)<\/td>\n<td>\\(7,516\\) \u00e9 uma d\u00edzima finita, logo \u00e9 um n\u00famero racional<\/td>\n<td>V<\/td>\n<td>Uma d\u00edzima finita corresponde a uma fra\u00e7\u00e3o decimal<\/td>\n<\/tr>\n<tr>\n<td>c)<\/td>\n<td>\\(0,\\left( {49} \\right)\\) \u00e9 um n\u00famero irracional<\/td>\n<td>F<\/td>\n<td>\u00c9 um n\u00famero racional, pois uma d\u00edzima infinita peri\u00f3dica corresponde a uma fra\u00e7\u00e3o n\u00e3o equivalente a uma fra\u00e7\u00e3o decimal.<\/td>\n<\/tr>\n<tr>\n<td>d)<\/td>\n<td>\\( &#8211; 3\\) \u00e9 um n\u00famero natural<\/td>\n<td>F<\/td>\n<td>Um n\u00famero natural \u00e9 um n\u00famero inteiro positivo.<\/td>\n<\/tr>\n<tr>\n<td>e)<\/td>\n<td>\\(\\sqrt 5 \\) \u00e9 representado por uma d\u00edzima infinita n\u00e3o peri\u00f3dica, logo \u00e9 irracional<\/td>\n<td>V<\/td>\n<td>Pois \\( 5\\) n\u00e3o \u00e9 um quadrado perfeito.<\/td>\n<\/tr>\n<tr>\n<td>f)<\/td>\n<td>\\( &#8211; 4\\) \u00e9 um n\u00famero real<\/td>\n<td>V<\/td>\n<td>Sim, pois, sendo um n\u00famero inteiro relativo, tamb\u00e9m \u00e9 real.<\/td>\n<\/tr>\n<tr>\n<td>g)<\/td>\n<td>\\(\\frac{{\\sqrt {25} }}{3}\\) \u00e9 um n\u00famero racional<\/td>\n<td>V<\/td>\n<td>Sim, pois \\(\\frac{{\\sqrt {25} }}{3} = \\frac{5}{3}\\).<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_22896' onClick='GTTabs_show(0,22896)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Verdadeiro ou falso? Justifica. \\( &#8211; 8\\) \u00e9 um n\u00famero inteiro, logo \u00e9 racional; \\(7,516\\) \u00e9 uma d\u00edzima finita, logo \u00e9 um n\u00famero racional; \\(0,\\left( {49} \\right)\\) \u00e9 um n\u00famero irracional;&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":19189,"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],"series":[],"class_list":["post-22896","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"],"views":224,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2021\/12\/Mat75.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/22896","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=22896"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/22896\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/19189"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=22896"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=22896"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=22896"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=22896"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}