{"id":22617,"date":"2022-10-22T12:14:28","date_gmt":"2022-10-22T11:14:28","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=22617"},"modified":"2022-10-22T13:56:53","modified_gmt":"2022-10-22T12:56:53","slug":"escreve-sob-a-forma-de-potencia-de-base-10","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=22617","title":{"rendered":"Escreve sob a forma de pot\u00eancia de base 10"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_22617' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_22617' class='GTTabs_curr'><a  id=\"22617_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_22617' ><a  id=\"22617_1\" onMouseOver=\"GTTabsShowLinks('Resolu\u00e7\u00e3o'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Resolu\u00e7\u00e3o<\/a><\/li>\n<li id='GTTabs_li_2_22617' ><a  id=\"22617_2\" onMouseOver=\"GTTabsShowLinks('Uma can\u00e7\u00e3o'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Uma can\u00e7\u00e3o<\/a><\/li>\n<\/ul>\n\n<div class='GTTabs_divs GTTabs_curr_div' id='GTTabs_0_22617'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Escreve cada um dos seguintes n\u00fameros sob a forma de uma pot\u00eancia de base 10.<\/p>\n<table style=\"border-collapse: collapse;\">\n<tbody>\n<tr>\n<td style=\"text-align: left;\">\\(0,1\\)<\/td>\n<td style=\"text-align: left;\">\\(0,000\\,000\\,001\\)<\/td>\n<td style=\"text-align: left;\">\\(0,000\\,01\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: left;\">\\(0,001\\)<\/td>\n<td style=\"text-align: left;\">\\(0,000\\,000\\,000\\,01\\)<\/td>\n<td style=\"text-align: left;\">\\(0,000\\,000\\,000\\,000\\,1\\)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_22617' onClick='GTTabs_show(1,22617)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_22617'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p>Cada um dos n\u00fameros escrito sob a forma de uma pot\u00eancia de base 10:<\/p>\n<table style=\"border-collapse: collapse;\">\n<tbody>\n<tr>\n<td style=\"text-align: left;\">\\(0,1 = {10^{ &#8211; 1}}\\)<\/td>\n<td style=\"text-align: left;\">\\(0,000\\,000\\,001 = {10^{ &#8211; 9}}\\)<\/td>\n<td style=\"text-align: left;\">\\(0,000\\,01 = {10^{ &#8211; 5}}\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: left;\">\\(0,001 = {10^{ &#8211; 3}}\\)<\/td>\n<td style=\"text-align: left;\">\\(0,000\\,000\\,000\\,01 = {10^{ &#8211; 11}}\\)<\/td>\n<td style=\"text-align: left;\">\\(0,000\\,000\\,000\\,000\\,1 = {10^{ &#8211; 13}}\\)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u00a0<\/p>\n<h6 style=\"text-align: center;\">S\u00edntese<\/h6>\n<p>\\[\\begin{array}{*{20}{l}}{0,\\underbrace {000\\,000\\,000\\,000\\,1}_{{\\rm{13\\,transi\u00e7\u00f5es\\,da\\,v\u00edrgula}}} = 1 \\times {{10}^{ &#8211; 13}} = {{10}^{ &#8211; 13}}}&amp;{}&amp;{1\\underbrace {0\\,000\\,000\\,000\\,000}_{{\\rm{13\\,transi\u00e7\u00f5es\\,da\\,v\u00edrgula}}} = 1 \\times {{10}^{13}} = {{10}^{13}}}\\\\{}&amp;{}&amp;{}\\\\{0,\\underbrace {000\\,000\\,000\\,000\\,4}_{{\\rm{13\\,transi\u00e7\u00f5es\\,da\\,v\u00edrgula}}} = 4 \\times {{10}^{ &#8211; 13}}}&amp;{}&amp;{4\\underbrace {0\\,000\\,000\\,000\\,000}_{{\\rm{13\\,transi\u00e7\u00f5es\\,da\\,v\u00edrgula}}} = 4 \\times {{10}^{13}}}\\end{array}\\]<\/p>\n<p>\u00a0<\/p>\n<p>\u00a0<\/p>\n<h1 class=\"post-title entry-title fittexted_for_single_post_title\">POWERS OF TEN<\/h1>\n<h6 id=\"sub-title\">Powers of ten and the relative size of things in the Universe<\/h6>\n<p>Um filme interessante sobre pot\u00eancias de 10: <a href=\"https:\/\/www.acasinhadamatematica.pt\/?p=15669\" target=\"_blank\" rel=\"noopener\">https:\/\/www.acasinhadamatematica.pt\/?p=15669<\/a><\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_22617' onClick='GTTabs_show(0,22617)'>&lt;&lt; Enunciado<\/a><\/span><span class='GTTabs_nav_next'><a href='#GTTabs_ul_22617' onClick='GTTabs_show(2,22617)'>Uma can\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_2_22617'>\n<span class='GTTabs_titles'><b>Uma can\u00e7\u00e3o<\/b><\/span><\/p>\n<p><div class=\"video-container\"><span class=\"embed-youtube\" style=\"text-align:center; display: block;\"><iframe loading=\"lazy\" class=\"youtube-player\" width=\"640\" height=\"360\" src=\"https:\/\/www.youtube.com\/embed\/X0Z3QMKI5Gg?version=3&#038;rel=1&#038;showsearch=0&#038;showinfo=1&#038;iv_load_policy=1&#038;fs=1&#038;hl=pt-PT&#038;autohide=2&#038;wmode=transparent\" allowfullscreen=\"true\" style=\"border:0;\" sandbox=\"allow-scripts allow-same-origin allow-popups allow-presentation allow-popups-to-escape-sandbox\"><\/iframe><\/span><\/div><\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_22617' onClick='GTTabs_show(1,22617)'>&lt;&lt; Resolu\u00e7\u00e3o<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Escreve cada um dos seguintes n\u00fameros sob a forma de uma pot\u00eancia de base 10. \\(0,1\\) \\(0,000\\,000\\,001\\) \\(0,000\\,01\\) \\(0,001\\) \\(0,000\\,000\\,000\\,01\\) \\(0,000\\,000\\,000\\,000\\,1\\) Resolu\u00e7\u00e3o &gt;&gt; Resolu\u00e7\u00e3o &lt;&lt; Enunciado<\/p>\n","protected":false},"author":1,"featured_media":22630,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,664],"tags":[424,142],"series":[],"class_list":["post-22617","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-8--ano","category-aplicando","category-numeros-reais","tag-8-o-ano","tag-potencias"],"views":272,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/10\/PowersOfTen_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/22617","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=22617"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/22617\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/22630"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=22617"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=22617"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=22617"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=22617"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}