{"id":22857,"date":"2022-11-01T11:54:15","date_gmt":"2022-11-01T11:54:15","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=22857"},"modified":"2022-11-01T13:54:20","modified_gmt":"2022-11-01T13:54:20","slug":"o-nanometro","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=22857","title":{"rendered":"O nan\u00f3metro"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_22857' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_22857' class='GTTabs_curr'><a  id=\"22857_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_22857' ><a  id=\"22857_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_22857'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>O nan\u00f3metro \u00e9 uma unidade de medida usada para expressar comprimentos muito pequenos.<\/p>\n<p>Sabe-se que 1 nan\u00f3metro (nm) equivale a \\({10^{ &#8211; 9}}\\) metros.<\/p>\n<p>A quantos nan\u00f3metros equivale 1 metro?<br \/>Apresenta a resposta na forma de pot\u00eancia de base 10.<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_22857' onClick='GTTabs_show(1,22857)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_22857'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<blockquote>\n<p>O nan\u00f3metro \u00e9 uma unidade de medida usada para expressar comprimentos muito pequenos.<\/p>\n<p>Sabe-se que 1 nan\u00f3metro (nm) equivale a \\({10^{ &#8211; 9}}\\) metros.<\/p>\n<p>A quantos nan\u00f3metros equivale 1 metro?<br \/>Apresenta a resposta na forma de pot\u00eancia de base 10.<\/p>\n<\/blockquote>\n<p>\u00a0<\/p>\n<p>Como \\(1\\;nm = {10^{ &#8211; 9}}\\;m\\), ent\u00e3o \\({10^9} \\times \\left( {1\\;nm} \\right) = {10^9} \\times \\left( {{{10}^{ &#8211; 9}}\\;m} \\right)\\).<br \/>Isto \u00e9, \\(1\\;m = {10^9}\\;nm\\).<\/p>\n<p>\u00a0<\/p>\n<h6>Alternativa<\/h6>\n<p>Ora, \\[\\frac{{1\\;nm}}{x} = \\frac{{{{10}^{ &#8211; 9}}\\;m}}{{1\\;m}}\\]<\/p>\n<p>Logo, vem:<\/p>\n<p>\\[x = \\frac{{1\\;m}}{{{{10}^{ &#8211; 9}}\\;m}} \\times 1\\;nm \\Leftrightarrow x = {10^9} \\times 1\\;nm \\Leftrightarrow x = {10^9}\\;nm\\]<\/p>\n<p>Portanto, \\(1\\;m = {10^9}\\;nm\\).<\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_22857' onClick='GTTabs_show(0,22857)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado O nan\u00f3metro \u00e9 uma unidade de medida usada para expressar comprimentos muito pequenos. Sabe-se que 1 nan\u00f3metro (nm) equivale a \\({10^{ &#8211; 9}}\\) metros. A quantos nan\u00f3metros equivale 1 metro?Apresenta a&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":22862,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,664],"tags":[424,143],"series":[],"class_list":["post-22857","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-8--ano","category-aplicando","category-numeros-reais","tag-8-o-ano","tag-notacao-cientifica"],"views":415,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/Escala_nanometrica-520x245-1.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/22857","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=22857"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/22857\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/22862"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=22857"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=22857"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=22857"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=22857"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}