{"id":94441,"date":"2017-01-11T16:23:36","date_gmt":"2017-01-11T18:23:36","guid":{"rendered":"https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/?p=94441"},"modified":"2026-05-27T19:40:41","modified_gmt":"2026-05-27T21:40:41","slug":"operacoes-inversas","status":"publish","type":"post","link":"https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/matematica\/operacoes-inversas","title":{"rendered":"Opera\u00e7\u00f5es inversas"},"content":{"rendered":"<p>As\u00a0<b>Opera\u00e7\u00e3o inversa<\/b>\u00a0\u00e9 aquela que &#8220;desfaz&#8221; o que uma opera\u00e7\u00e3o anterior realizou.<\/p>\n<p><b>Na matem\u00e1tica, elas funcionam em pares:<\/b>\u00a0uma a\u00e7\u00e3o \u00e9 o exato oposto da outra.<\/p>\n<p>As\u00a0<b>Opera\u00e7\u00f5es inversas<\/b>\u00a0s\u00e3o opera\u00e7\u00f5es matem\u00e1ticas que que revertem ou &#8220;desfazem&#8221; umas \u00e0s outras. Aplicar uma opera\u00e7\u00e3o e, imediatamente em seguida, aplicar sua inversa, retorna ao n\u00famero inicial.<\/p>\n<p><b>Elas formam pares em que a a\u00e7\u00e3o de uma \u00e9 desfeita pelo seu inverso:<\/b><\/p>\n<p>Adi\u00e7\u00e3o \u2194\u00a0Subtra\u00e7\u00e3o<\/p>\n<p>Multiplica\u00e7\u00e3o \u2194\u00a0Divis\u00e3o<\/p>\n<p>Essas opera\u00e7\u00f5es s\u00e3o fundamentais para tirar a &#8220;prova real&#8221; e garantir que um c\u00e1lculo esteja correto.<\/p>\n<p><b>Adi\u00e7\u00e3o<\/b><\/p>\n<p>A invers\u00e3o consiste em \u2013 dada a soma a uma das parcelas, determinar a outra. Deveria haver duas opera\u00e7\u00f5es inversas, conforme se pedisse o adicionando ou o adicionador, mas, em virtude da propriedade comutativa da adi\u00e7\u00e3o, os pap\u00e9is das duas parcelas podem trocar-se, e a duas inversas fundem-se numa s\u00f3, que se chama\u00a0<b>subtra\u00e7\u00e3o<\/b>.<\/p>\n<div class=\"post-header\"><b>Multiplica\u00e7\u00e3o<\/b>A invers\u00e3o consiste em \u2013 dado o produto a um dos fatores, determinar o outro. Deveria tamb\u00e9m haver duas inversas, mas que se fundem numa s\u00f3 \u2013 divis\u00e3o \u2013 em virtude da propriedade comutativa do produto.<\/p>\n<p><b>Potencia\u00e7\u00e3o<\/b><\/p>\n<p>A invers\u00e3o consiste em \u2013 dada a pot\u00eancia de um dos dados, base ou expoente, determinar o outro.<\/p>\n<p><b>Agora h\u00e1 de fato, duas inversas, porque n\u00e3o existe comutatividade na potencia\u00e7\u00e3o, por exemplo:<\/b><\/p>\n<p>5\u00b2 = 5.5 = 25<br \/>\n2\u2074 = 2. 2.2.2 = 32<\/p>\n<p>Aquela inversa pela qual, dada a pot\u00eancia e o expoente, se determina a base chama-se\u00a0<i>radicia\u00e7\u00e3o<\/i>; aquela pela qual, dada a pot\u00eancia e a base, se determina o expoente chama-se\u00a0<b>logaritma\u00e7\u00e3o<\/b>.<\/p>\n<\/div>\n<p><b>As duas opera\u00e7\u00f5es inversas da potencia\u00e7\u00e3o<\/b><\/p>\n<p><strong>As opera\u00e7\u00f5es inversas da potencia\u00e7\u00e3o s\u00e3o:\u00a0<\/strong>a radicia\u00e7\u00e3o e a logaritma\u00e7\u00e3o.<\/p>\n<p>Isso ocorre porque na opera\u00e7\u00e3o de potencia\u00e7\u00e3o n\u00e3o existe a propriedade de comutatividade.<\/p>\n<p><strong>Por exemplo:<\/strong><\/p>\n<p>5<sup>3<\/sup>\u00a0= 5 x 5 x 5 = 125<\/p>\n<p><strong>\u00e9 diferente de<\/strong><\/p>\n<p>3<sup>5<\/sup>\u00a0= 3 x 3 x 3 x 3 x 3 = 243<\/p>\n<p><strong>Por defini\u00e7\u00e3o, a opera\u00e7\u00e3o inversa \u00e0 potencia\u00e7\u00e3o consiste em:<\/strong>\u00a0dada a pot\u00eancia e um dos dados, a base ou o expoente deve determinar o outro.<\/p>\n<p><strong>Ent\u00e3o:<\/strong><\/p>\n<p>Dadas a pot\u00eancia e o expoente, se queremos a base devemos usar a\u00a0<strong>RADICIA\u00c7\u00c3O<\/strong>.<\/p>\n<p>Dadas a pot\u00eancia e a base, se queremos o expoente devemos usar a\u00a0<strong>LOGARITMA\u00c7\u00c3O<\/strong>.<\/p>\n<p><strong>Fonte:<\/strong>\u00a0Col\u00e9gio S\u00e3o Francisco<\/p>\n","protected":false},"excerpt":{"rendered":"<p>As\u00a0Opera\u00e7\u00e3o inversa\u00a0\u00e9 aquela que &#8220;desfaz&#8221; o que uma opera\u00e7\u00e3o anterior realizou. Na matem\u00e1tica, elas funcionam em pares:\u00a0uma a\u00e7\u00e3o \u00e9 o exato oposto da outra. As\u00a0Opera\u00e7\u00f5es inversas\u00a0s\u00e3o opera\u00e7\u00f5es matem\u00e1ticas que que revertem ou &#8220;desfazem&#8221; umas \u00e0s outras. Aplicar uma opera\u00e7\u00e3o e, imediatamente em seguida, aplicar sua inversa, retorna ao n\u00famero inicial. Elas formam pares em que [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[414],"tags":[],"class_list":["post-94441","post","type-post","status-publish","format-standard","hentry","category-matematica"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.5 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Opera\u00e7\u00f5es inversas, Matem\u00e1tica, Opera\u00e7\u00e3o Opera\u00e7\u00f5es inversas<\/title>\n<meta name=\"description\" content=\"Opera\u00e7\u00f5es inversas, Matem\u00e1tica, Opera\u00e7\u00e3o, Adi\u00e7\u00e3o, Multiplica\u00e7\u00e3o, Subtra\u00e7\u00e3o, Divis\u00e3o, C\u00e1lculo, Exemplo, Opera\u00e7\u00f5es inversas\" \/>\n<meta name=\"robots\" content=\"noindex, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<meta 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