{"id":109952,"date":"2023-12-31T07:00:00","date_gmt":"2023-12-31T10:00:00","guid":{"rendered":"https:\/\/vestibulares.estrategia.com\/portal\/?p=109952"},"modified":"2024-01-23T10:35:48","modified_gmt":"2024-01-23T13:35:48","slug":"logica-e-operacoes-basicas","status":"publish","type":"post","link":"https:\/\/vestibulares.estrategia.com\/portal\/materias\/matematica\/logica-e-operacoes-basicas\/","title":{"rendered":"L\u00f3gica e opera\u00e7\u00f5es b\u00e1sicas: o que \u00e9, caracter\u00edsticas e defini\u00e7\u00f5es\u00a0"},"content":{"rendered":"<p class=\"wp-block-paragraph\"><span id=\"urn:enhancement-2f6985df-3045-4aaa-b7ad-8ec35067aee5\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/logica\">L&oacute;gica<\/span> e <span id=\"urn:local-annotation-474003\" class=\"textannotation disambiguated\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/operacoes-basicas-da-matematica\">opera&ccedil;&otilde;es b&aacute;sicas da matem&aacute;tica<\/span> s&atilde;o o princ&iacute;pio para a constru&ccedil;&atilde;o de toda essa ci&ecirc;ncia e outras &aacute;reas exatas. Ent&atilde;o, aprender a l&oacute;gica <span id=\"urn:enhancement-e19267bb-c712-4cfd-8b2e-ea4ce6afa8e3\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/matematica\">matem&aacute;tica<\/span> corretamente &eacute; um conhecimento necess&aacute;rio para responder diversas quest&otilde;es dos vestibulares, j&aacute; que tal capacidade facilita a interpreta&ccedil;&atilde;o de problemas, <span id=\"urn:enhancement-e0b3e751-e259-40b5-94d8-3a97f45574b8\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/expressoes-algebricas\">express&otilde;es<\/span> e <span id=\"urn:enhancement-b325f1be-09e0-4681-ac66-964c85821390\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/equacao\">equa&ccedil;&otilde;es<\/span>.&nbsp;<p class=\"wp-block-paragraph\">As principais informa&ccedil;&otilde;es para a compreens&atilde;o de l&oacute;gica e opera&ccedil;&otilde;es b&aacute;sicas est&atilde;o descritas neste artigo, com detalhes sobre proposi&ccedil;&otilde;es, tabelas verdade, <span id=\"urn:enhancement-b7411de7-6622-4cbd-a2c4-a88f108e4f6d\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/adicao\">adi&ccedil;&atilde;o<\/span>, <span id=\"urn:enhancement-c41a0159-6845-414e-b5d8-6da609dfc410\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/subtracao\">subtra&ccedil;&atilde;o<\/span>, <span id=\"urn:enhancement-459093d5-e5a0-4826-bea9-79bdab0fe027\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/divisao\">divis&atilde;o<\/span> e <span id=\"urn:enhancement-4bc2a00c-34ac-43d6-8542-504bfc08dced\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/multiplicacao\">multiplica&ccedil;&atilde;o<\/span>. Ainda, ser&aacute; comentada uma quest&atilde;o de vestibular que aborda o tema, para demonstrar um <span id=\"urn:enhancement-4afc08a8-da98-4acb-a1a7-6b157284580b\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/raciocinio-logico\">racioc&iacute;nio l&oacute;gico<\/span> utilizado na resolu&ccedil;&atilde;o de provas de <span id=\"urn:enhancement-94c666ab-43d0-4bec-a476-9f8e170a81df\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/matematica\">matem&aacute;tica<\/span>. Leia abaixo e saiba mais.&nbsp;<\/p><div id=\"ez-toc-container\" class=\"ez-toc-v2_0_86 counter-hierarchy ez-toc-counter ez-toc-transparent ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\"><p class=\"ez-toc-title\" style=\"cursor:inherit\">Navegue pelo conte\u00fado<\/p>\n<\/div><nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/matematica\/logica-e-operacoes-basicas\/#Logica\" >L&oacute;gica<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/matematica\/logica-e-operacoes-basicas\/#Operacoes-Basicas\" >Opera&ccedil;&otilde;es B&aacute;sicas<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/matematica\/logica-e-operacoes-basicas\/#Questao-sobre-logica-e-operacoes-basicas\" >Quest&atilde;o sobre l&oacute;gica e opera&ccedil;&otilde;es b&aacute;sicas<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/matematica\/logica-e-operacoes-basicas\/#Estude-para-as-provas-com-a-Coruja\" >Estude para as provas com a Coruja!<\/a><\/li><\/ul><\/nav><\/div>\n<h2 class=\"wp-block-heading\" id=\"h-logica\"><span class=\"ez-toc-section\" id=\"Logica\"><\/span>L&oacute;gica<span class=\"ez-toc-section-end\"><\/span><\/h2><p class=\"wp-block-paragraph\">A l&oacute;gica <span id=\"urn:enhancement-9d7aba56-1692-4b3d-8c8e-a1241f3046ca\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/matematica\">matem&aacute;tica<\/span> &eacute; um princ&iacute;pio em que uma proposi&ccedil;&atilde;o ser&aacute; apresentada, geralmente uma afirmativa, e as conex&otilde;es apresentadas na senten&ccedil;a devem fazer um sentido l&oacute;gico. Nesse caso, h&aacute; uma rela&ccedil;&atilde;o entre portugu&ecirc;s e <span id=\"urn:enhancement-8b6ae077-944c-4d06-8899-0ca7b53d06be\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/matematica\">matem&aacute;tica<\/span>, pois, as palavras escolhidas podem mudar completamente o significado l&oacute;gico matem&aacute;tico da frase.&nbsp;<\/p><h3 class=\"wp-block-heading\" id=\"h-proposicoes\">Proposi&ccedil;&otilde;es<\/h3><p class=\"wp-block-paragraph\">Proposi&ccedil;&otilde;es podem ser frases, palavras, s&iacute;mbolos e at&eacute; mesmo <span id=\"urn:enhancement-90e6d839-9eb2-403c-a2aa-03ccecb7b004\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/expressoes-algebricas\">express&otilde;es<\/span> <span id=\"urn:enhancement-e0075222-3e3f-49d2-b0ac-dbf13cccb580\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/matematica\">matem&aacute;ticas<\/span> que expressam uma ideia. Quando avaliadas do ponto de vista l&oacute;gico, essas proposi&ccedil;&otilde;es podem ser tomadas como verdadeiras ou falsas.&nbsp;<\/p><p class=\"wp-block-paragraph\">Por exemplo, ao propor que &ldquo;O Estrat&eacute;gia Vestibulares &eacute; um curso preparat&oacute;rio para provas nacionais de entrada para faculdades&rdquo; h&aacute; uma verdade l&oacute;gica e a proposi&ccedil;&atilde;o ser&aacute; considerada verdadeira.<\/p><p class=\"wp-block-paragraph\">Do lado contr&aacute;rio, se for proposto que &ldquo;1,5 = 4\/7&rdquo; trata-se de uma proposi&ccedil;&atilde;o falsa, uma vez que n&atilde;o h&aacute; l&oacute;gica <span id=\"urn:enhancement-5b2d2cb7-0a9c-4e94-b450-058b60b0ab17\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/matematica\">matem&aacute;tica<\/span> que, conforme as opera&ccedil;&otilde;es b&aacute;sicas de <span id=\"urn:enhancement-975da98b-25d1-4686-8d67-f5d64c9cfe2a\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/multiplicacao\">multiplica&ccedil;&atilde;o<\/span> e <span id=\"urn:enhancement-2cbe14fa-8b2f-45c4-a267-5cef89c82636\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/divisao\">divis&atilde;o<\/span> torne essa <a href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/matematica\/equacoes-2\/\" target=\"_blank\">equa&ccedil;&atilde;o <\/a>verdadeira.&nbsp;<\/p><p class=\"wp-block-paragraph\">&Eacute; importante ressaltar tamb&eacute;m que, na l&oacute;gica <span id=\"urn:enhancement-3abcb5d1-323b-41ef-a035-6c986a9c77fe\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/matematica\">matem&aacute;tica<\/span>, uma proposi&ccedil;&atilde;o s&oacute; pode ser ou verdadeira, ou falsa. &Eacute; imposs&iacute;vel que a mesma afirma&ccedil;&atilde;o seja, ao mesmo tempo, verdadeira e falsa.&nbsp;<\/p><h3 class=\"wp-block-heading\" id=\"h-tabelas-verdade\">Tabelas Verdade<\/h3><p class=\"wp-block-paragraph\">O <span id=\"urn:enhancement-8328a601-6508-4290-8c8f-23e39916d8ce\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/raciocinio-logico\">racioc&iacute;nio l&oacute;gico<\/span> pode ser constru&iacute;do a partir de tabelas verdade, que permitem analisar se uma proposi&ccedil;&atilde;o &eacute; verdadeira ou n&atilde;o. Geralmente, essa ferramenta ser&aacute; utilizada quando a afirma&ccedil;&atilde;o avaliada &eacute; formada por mais de uma proposi&ccedil;&atilde;o, ent&atilde;o &eacute; necess&aacute;rio relacion&aacute;-las entre si para chegar a uma conclus&atilde;o.<\/p><p class=\"wp-block-paragraph\">Para facilitar a constru&ccedil;&atilde;o da tabela verdade, &eacute; poss&iacute;vel nomear cada proposi&ccedil;&atilde;o com uma letra, que geralmente &eacute; p ou q. Ent&atilde;o, os seguintes s&iacute;mbolos podem ser utilizados, com seus respectivos significados:<\/p><ul class=\"wp-block-list\">\n<li>~ (nega&ccedil;&atilde;o &ndash; n&atilde;o)<\/li>\n\n\n\n<li>^ (conjun&ccedil;&atilde;o &ndash; e)<\/li>\n\n\n\n<li>v (disjun&ccedil;&atilde;o &ndash; ou)<\/li>\n\n\n\n<li>&rarr; (condi&ccedil;&atilde;o &ndash; se &hellip; ent&atilde;o)<\/li>\n\n\n\n<li>&harr; (condi&ccedil;&atilde;o bidirecional &ndash; &hellip;se e somente se&hellip;)&nbsp;<\/li>\n<\/ul><p class=\"wp-block-paragraph\">O uso da tabela verdade &eacute; realizado da seguinte forma: observa-se o sentido utilizado na proposi&ccedil;&atilde;o, seja nega&ccedil;&atilde;o, conjun&ccedil;&atilde;o, disjun&ccedil;&atilde;o ou outros. Ent&atilde;o avalia-se qual ser&aacute; o resultado da proposi&ccedil;&atilde;o completa, quando uma das duas proposi&ccedil;&otilde;es seja verdadeira ou falsa, em suas diferentes combina&ccedil;&otilde;es, como est&aacute; demonstrado a seguir.<\/p><p class=\"has-text-align-center wp-block-paragraph\">4 &eacute; divis&iacute;vel por 2 e 6 &eacute; divis&iacute;vel por 5<\/p><p class=\"wp-block-paragraph\">Considerando que:<\/p><p class=\"has-text-align-center wp-block-paragraph\">4 &eacute; divis&iacute;vel por 2&nbsp; = p<br>e&nbsp; = ^<br>6 &eacute; divis&iacute;vel por 5 = q<\/p><p class=\"wp-block-paragraph\">Ent&atilde;o a tabela verdade ser&aacute;:<\/p><figure class=\"wp-block-table\"><table><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\"><strong>p<\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\"><strong>q<\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\"><strong>p^q&nbsp;<\/strong><\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">Verdadeira<\/td><td class=\"has-text-align-center\" data-align=\"center\">Verdadeira<\/td><td class=\"has-text-align-center\" data-align=\"center\">Verdadeira<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">Falsa<\/td><td class=\"has-text-align-center\" data-align=\"center\">Verdadeira<\/td><td class=\"has-text-align-center\" data-align=\"center\">Falsa<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">Verdadeira<\/td><td class=\"has-text-align-center\" data-align=\"center\">Falsa<\/td><td class=\"has-text-align-center\" data-align=\"center\">Falsa<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">Falsa<\/td><td class=\"has-text-align-center\" data-align=\"center\">Falsa<\/td><td class=\"has-text-align-center\" data-align=\"center\">Falsa<\/td><\/tr><\/tbody><\/table><\/figure><p class=\"wp-block-paragraph\">Observe que, em uma conjun&ccedil;&atilde;o, como ambas as proposi&ccedil;&otilde;es est&atilde;o inclusas pelo conectivo l&oacute;gico &ldquo;e&rdquo;, se uma das proposi&ccedil;&otilde;es for falsa, automaticamente a proposi&ccedil;&atilde;o composta p^q ser&aacute; falsa tamb&eacute;m.&nbsp;<\/p><h3 class=\"wp-block-heading\" id=\"h-implicacao-logica\">Implica&ccedil;&atilde;o L&oacute;gica<\/h3><p class=\"wp-block-paragraph\">Implica&ccedil;&atilde;o l&oacute;gica &eacute; o conceito que avalia proposi&ccedil;&otilde;es compostas a partir do tipo de rela&ccedil;&atilde;o estabelecida entre as afirma&ccedil;&otilde;es integradas. No exemplo do t&oacute;pico anterior por exemplo, da conjun&ccedil;&atilde;o, quando uma das proposi&ccedil;&otilde;es for falsa, a composi&ccedil;&atilde;o tamb&eacute;m ser&aacute; falsa.&nbsp;<\/p><p class=\"wp-block-paragraph\">Entretanto, nos casos de proposi&ccedil;&otilde;es compostas do tipo disjuncional, a implica&ccedil;&atilde;o l&oacute;gica ser&aacute; outra, acompanhe abaixo.<\/p><p class=\"wp-block-paragraph\">O c&eacute;u &eacute; azul ou mar &eacute; vermelho.&nbsp;<\/p><p class=\"wp-block-paragraph\">Do ponto de vista l&oacute;gico, essa <span id=\"urn:enhancement-bec2f4c3-3a21-4044-9952-3f7d7861d1ee\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/inferencia\">infer&ecirc;ncia<\/span> ser&aacute; verdadeira se pelo menos uma das duas proposi&ccedil;&otilde;es for verdadeira. Afinal, sendo o c&eacute;u azul e o mar n&atilde;o-vermelho, ainda assim a palavra &ldquo;ou&rdquo; permite que apenas uma parte da frase esteja correta. Nesse caso, a tabela verdade ser&aacute;:<\/p><figure class=\"wp-block-table\"><table><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\"><strong>p<\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\"><strong>q<\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\"><strong>p&#127483;q&nbsp;<\/strong><\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">Verdadeira<\/td><td class=\"has-text-align-center\" data-align=\"center\">Verdadeira<\/td><td class=\"has-text-align-center\" data-align=\"center\">Verdadeira<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">Falsa<\/td><td class=\"has-text-align-center\" data-align=\"center\">Verdadeira<\/td><td class=\"has-text-align-center\" data-align=\"center\">Verdadeira<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">Verdadeira<\/td><td class=\"has-text-align-center\" data-align=\"center\">Falsa<\/td><td class=\"has-text-align-center\" data-align=\"center\">Verdadeira<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">Falsa<\/td><td class=\"has-text-align-center\" data-align=\"center\">Falsa<\/td><td class=\"has-text-align-center\" data-align=\"center\">Falsa<\/td><\/tr><\/tbody><\/table><\/figure><h3 class=\"wp-block-heading\" id=\"h-equivalencia-logica\">Equival&ecirc;ncia L&oacute;gica<\/h3><p class=\"wp-block-paragraph\">Equival&ecirc;ncia l&oacute;gica entre proposi&ccedil;&otilde;es &eacute; quando elas possuem um valor igual e, consequentemente, apresentar&atilde;o uma tabela verdade id&ecirc;ntica. A primeira forma de estudar isso &eacute; com proposi&ccedil;&otilde;es iguais como em &ldquo;amanh&atilde; vai chover&rdquo; e &ldquo;chover&aacute; amanh&atilde;&rdquo;, ambas as proposi&ccedil;&otilde;es apresentar&atilde;o a mesma tabela verdade de forma que p ^ p = p.&nbsp;<\/p><p class=\"wp-block-paragraph\">Outra forma de compreender essa equival&ecirc;ncia &eacute; por meio de uma intersec&ccedil;&atilde;o entre <span id=\"urn:enhancement-f84356f4-26b4-446f-b8f8-450741003fbe\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/multiplicacao\">multiplica&ccedil;&atilde;o<\/span> e l&oacute;gica. Seja:<\/p><p class=\"has-text-align-center wp-block-paragraph\">&nbsp;p = 4 divide 20<\/p><p class=\"has-text-align-center wp-block-paragraph\">&nbsp;q = 2 divide 20<\/p><p class=\"has-text-align-center wp-block-paragraph\">ent&atilde;o p ^ q = 4 divide 20 e 2 divide 20<\/p><p class=\"has-text-align-center wp-block-paragraph\">assim como p v q = 2 divide 20 e 4 divide 20.&nbsp;<\/p><p class=\"wp-block-paragraph\">Dessa maneira, na constru&ccedil;&atilde;o da tabela verdade, o resultado ser&aacute; tal que p v q = q v p.&nbsp;<\/p><h3 class=\"wp-block-heading\" id=\"h-leis-da-logica\">Leis da L&oacute;gica<\/h3><p class=\"wp-block-paragraph\">A l&oacute;gica possui tr&ecirc;s leis b&aacute;sicas que norteiam todo o estudo de proposi&ccedil;&otilde;es:<\/p><ul class=\"wp-block-list\">\n<li>A lei da n&atilde;o-contradi&ccedil;&atilde;o, que prop&otilde;e que uma afirma&ccedil;&atilde;o n&atilde;o pode negar-se a si mesma, n&atilde;o podendo afirmar uma coisa e seu oposto, ao mesmo tempo;<\/li>\n\n\n\n<li>J&aacute; a lei da identidade trata que uma toda proposi&ccedil;&atilde;o ou afirma&ccedil;&atilde;o &eacute;, obrigatoriamente, igual a si mesma, ou seja, p = p, q=q;<\/li>\n\n\n\n<li>Por fim, a lei do terceiro exclu&iacute;do trata sobre o conceito das proposi&ccedil;&otilde;es. Nesse caso, ou X &eacute; X ou X &eacute; n&atilde;o-X, n&atilde;o existe uma terceira op&ccedil;&atilde;o. Por exemplo, se estamos analisando se algo &eacute; p&atilde;o, ou esse objeto &eacute; p&atilde;o ou n&atilde;o &eacute; p&atilde;o. Assim como, ou algo &eacute; verdadeiro ou algo &eacute; n&atilde;o-verdadeiro (falso), sem terceiras vias de resposta.&nbsp;<\/li>\n<\/ul><h2 class=\"wp-block-heading\" id=\"h-operacoes-basicas\"><span class=\"ez-toc-section\" id=\"Operacoes-Basicas\"><\/span>Opera&ccedil;&otilde;es B&aacute;sicas<span class=\"ez-toc-section-end\"><\/span><\/h2><p class=\"wp-block-paragraph\">A resolu&ccedil;&atilde;o de certos problemas l&oacute;gicos ou ainda problemas matem&aacute;ticos que utilizam a l&oacute;gica, pode utilizar as opera&ccedil;&otilde;es b&aacute;sicas da matem&aacute;tica, que s&atilde;o ensinadas desde o in&iacute;cio do processo de alfabetiza&ccedil;&atilde;o, por serem a base que fundamenta as ci&ecirc;ncias exatas.&nbsp;<\/p><h3 class=\"wp-block-heading\" id=\"h-adicao-e-subtracao\">Adi&ccedil;&atilde;o e Subtra&ccedil;&atilde;o<\/h3><p class=\"wp-block-paragraph\"><span id=\"urn:enhancement-9602c593-3f34-4678-ab68-c490bf3d6883\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/adicao\">Adi&ccedil;&atilde;o<\/span> e <span id=\"urn:enhancement-bbe0e972-207b-4dee-b03d-2a02e5d62cf1\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/subtracao\">subtra&ccedil;&atilde;o<\/span> s&atilde;o duas das opera&ccedil;&otilde;es b&aacute;sicas que possibilitam somar ou diminuir a quantidade de valores em um c&aacute;lculo. De forma que o s&iacute;mbolo que representa a <span id=\"urn:enhancement-f5f64ff4-8ee6-459d-bfc6-f955a4df65e2\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/adicao\">adi&ccedil;&atilde;o<\/span> &eacute; &ldquo;+&rdquo; e a <span id=\"urn:enhancement-3104a351-2b6e-4452-9fe5-67d20bf8831d\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/subtracao\">subtra&ccedil;&atilde;o<\/span> &ldquo;-&rdquo;.&nbsp;<\/p><h4 class=\"wp-block-heading\" id=\"h-adicao\">Adi&ccedil;&atilde;o<\/h4><p class=\"wp-block-paragraph\">A palavra <span id=\"urn:enhancement-3791f76d-b25b-4665-818d-1d7e4031fb7f\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/adicao\">adi&ccedil;&atilde;o<\/span> &eacute; correlata de &ldquo;adicionar&rdquo;, ou seja, nessa opera&ccedil;&atilde;o, s&atilde;o somados, adicionados, acrescentados valores ao c&aacute;lculo, de forma que x + y = z, que deve ser lido como &ldquo;x mais y &eacute; igual a z&rdquo;.<\/p><p class=\"wp-block-paragraph\">A soma possui algumas propriedades &uacute;nicas que est&atilde;o listadas abaixo:<\/p><ul class=\"wp-block-list\">\n<li>&Eacute; uma opera&ccedil;&atilde;o comutativa, em que a ordem dos fatores n&atilde;o altera o resultado do c&aacute;lculo (a + b + c + y = c + y + b + a = b + c + a + y = c + a + y + b);<\/li>\n\n\n\n<li>Ainda, &eacute; uma opera&ccedil;&atilde;o em que, independentemente da ordem em que for realizada, os resultados ser&atilde;o iguais, tal qual em x + (y + z) = (x + y) + z. Essa propriedade &eacute; chamada de associatividade;<\/li>\n\n\n\n<li>Toda vez que o 0 aparece em uma soma &eacute; um elemento neutro, que n&atilde;o altera os resultados (a + b + 0 = a + b);<\/li>\n\n\n\n<li>Por fim, quando dois elementos opostos ou sim&eacute;tricos s&atilde;o somados, o resultado ser&aacute; nulo, como em b + (-b) = 0.&nbsp;<\/li>\n<\/ul><h4 class=\"wp-block-heading\" id=\"h-subtracao\">Subtra&ccedil;&atilde;o<\/h4><p class=\"wp-block-paragraph\">Do outro lado, temos a opera&ccedil;&atilde;o inversa da <span id=\"urn:enhancement-e911b8a6-6377-40d2-8a11-33e2c2c61dbd\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/adicao\">adi&ccedil;&atilde;o<\/span>, que &eacute; a <span id=\"urn:enhancement-6e961d53-6865-4752-8f99-a59bf69abcb6\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/subtracao\">subtra&ccedil;&atilde;o<\/span>. Isso significa que o c&aacute;lculo da <span id=\"urn:enhancement-32d9948a-d953-4740-9d34-82b281cc0986\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/subtracao\">subtra&ccedil;&atilde;o<\/span> &eacute; realizado pela diminui&ccedil;&atilde;o, redu&ccedil;&atilde;o dos valores dentro no c&aacute;lculo, com a estrutura b&aacute;sica: x &ndash; y = z, lida como &ldquo;x menos y &eacute; igual a z&rdquo;.&nbsp;<\/p><h4 class=\"wp-block-heading\" id=\"h-exemplos\">Exemplos<\/h4><p class=\"wp-block-paragraph\">Em todo caso, as letras apresentadas na estrutura devem ser substitu&iacute;das por n&uacute;meros reais para realizar a opera&ccedil;&atilde;o, como nos exemplos:<\/p><ul class=\"wp-block-list\">\n<li>3 + 4 = 7;<\/li>\n\n\n\n<li>5 + 3 = 8;<\/li>\n\n\n\n<li>&ndash; 25 + 4 = -21<\/li>\n\n\n\n<li>25 &ndash; 7 = 18;<\/li>\n\n\n\n<li>43 &ndash; 21 = 22;<\/li>\n\n\n\n<li>74 &ndash; 85 = -11, e assim por diante.&nbsp;<\/li>\n<\/ul><h3 class=\"wp-block-heading\" id=\"h-multiplicacao-e-divisao\">Multiplica&ccedil;&atilde;o e Divis&atilde;o<\/h3><p class=\"wp-block-paragraph\"><span id=\"urn:enhancement-08be367d-628a-4fab-a87e-fa814b3b0208\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/multiplicacao\">Multiplica&ccedil;&atilde;o<\/span> e <span id=\"urn:enhancement-388db305-f532-493c-95a1-9e5fea0d0b64\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/divisao\">divis&atilde;o<\/span> tamb&eacute;m s&atilde;o opera&ccedil;&otilde;es inversas e, por isso, s&atilde;o estudadas em conjunto. Enquanto a <span id=\"urn:enhancement-4972f1dc-d47a-4f4b-b4e7-500dcd596b01\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/multiplicacao\">multiplica&ccedil;&atilde;o<\/span> &eacute; importante para aumentar, avolumar, relacionar dois n&uacute;meros de forma a obter v&aacute;rias vezes a mesma opera&ccedil;&atilde;o, a <span id=\"urn:enhancement-57bfa669-f26b-4dde-8ae6-674e85e6c60f\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/divisao\">divis&atilde;o<\/span> serve para fragmentar, dividir esses valores.&nbsp;<\/p><h4 class=\"wp-block-heading\" id=\"h-multiplicacao\">Multiplica&ccedil;&atilde;o<\/h4><p class=\"wp-block-paragraph\">Primeiramente, a <span id=\"urn:enhancement-3f13aaa9-9b8e-431e-831d-6fd13566f7c4\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/multiplicacao\">multiplica&ccedil;&atilde;o<\/span> &eacute; determinada a partir dos s&iacute;mbolos x, * ou . e, com a estrutura: a x b = c,&nbsp; a.b = c ou a*b=c. Em todos os casos a leitura da opera&ccedil;&atilde;o b&aacute;sica ser&aacute; &ldquo;a vezes b &eacute; igual a c&rdquo;.&nbsp;<\/p><p class=\"wp-block-paragraph\">A interpreta&ccedil;&atilde;o desse c&aacute;lculo &eacute; realizada da seguinte forma:<\/p><p class=\"has-text-align-center wp-block-paragraph\">2 x 3 = 6&nbsp;<br>Isso significa que 2 vezes o 3 &eacute; igual a 6 de maneira que 2 x 3 = 3 + 3 = 6.&nbsp;<\/p><p class=\"wp-block-paragraph\">A <span id=\"urn:enhancement-e4f2af17-1567-4e9c-bc57-17c5bcd65c0f\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/multiplicacao\">multiplica&ccedil;&atilde;o<\/span> tamb&eacute;m possui a comutatividade, assim, alterar a ordem dos fatores n&atilde;o altera o resultado da conta:<\/p><p class=\"has-text-align-center wp-block-paragraph\">3 x 2 = 6<br>A interpreta&ccedil;&atilde;o, agora, &eacute; que 3 vezes o n&uacute;mero 2 &eacute;: 3 x 2 = 2 + 2 + 2 = 6.&nbsp;<\/p><p class=\"wp-block-paragraph\">Outra propriedade da <span id=\"urn:enhancement-aca00a8c-7f9f-4bf3-a15b-80df8c5d5b3e\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/multiplicacao\">multiplica&ccedil;&atilde;o<\/span> &eacute; a distributividade, demonstrada na imagem abaixo.&nbsp;<\/p><div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/lh7-us.googleusercontent.com\/d0pAQLTOD6a9sl444hzKpP331kyfzI5QoVvLsC0zLqirCmNhxlRuH4yCHGVvvC5YV8ZPiQrLTeJlD4APM6nwMrw9PM4Z1Cq0iAaItDUh9yZ44vq4pwoyAuj9Qi-TEuy5ypYOZ_arPbcUdjE46IA-a-CBSG0LMyky9riqRl9Vped-BrKJiy1wX8z8APSN5A\" alt=\"Opera&ccedil;&otilde;es b&aacute;sicas - multiplica&ccedil;&atilde;o distributiva\"><figcaption class=\"wp-element-caption\">Imagem: Reprodu&ccedil;&atilde;o\/Wikimedia<\/figcaption><\/figure>\n<\/div><p class=\"wp-block-paragraph\">Assim como na <span id=\"urn:enhancement-c7b4e999-5dbc-4a58-a48e-d553b03242b1\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/adicao\">adi&ccedil;&atilde;o<\/span>, a <span id=\"urn:enhancement-3a1e8da8-196e-4609-8324-543a41e0c069\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/multiplicacao\">multiplica&ccedil;&atilde;o<\/span> tamb&eacute;m &eacute; associativa, de forma que alterar a ordem dos passos dentro de uma <span id=\"urn:enhancement-197be5b3-3da2-4ef6-9927-41bf2cad53a7\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/expressoes-algebricas\">express&atilde;o<\/span> multiplicativa n&atilde;o altera o resultado: (a x b) x c = a x (b x c), (4 x 5) x 3 = 20 x 3 = 60, assim como 4 x (5 x 3) = 4 x 15 = 60.&nbsp;<\/p><p class=\"wp-block-paragraph\">No caso da <span id=\"urn:enhancement-46650399-bed6-4f57-b787-bfade98a5283\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/multiplicacao\">multiplica&ccedil;&atilde;o<\/span>, o elemento neutro &eacute; o n&uacute;mero 1. Sempre que ele aparece como fator, n&atilde;o altera o resultado na conta, ou seja a x b = a x b x 1.<\/p><p class=\"wp-block-paragraph\">Por outro lado, o elemento inverso da opera&ccedil;&atilde;o multiplicativa &eacute; tal que inverso de a = 1\/a. A rela&ccedil;&atilde;o entre eles &eacute; dada por a . (1\/a) = 1.&nbsp;<\/p><h4 class=\"wp-block-heading\" id=\"h-divisao-nbsp\">Divis&atilde;o&nbsp;<\/h4><p class=\"wp-block-paragraph\">Na <span id=\"urn:enhancement-60f8ce8c-dece-42ac-8730-645ad3398c40\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/divisao\">divis&atilde;o<\/span> ou fra&ccedil;&atilde;o, a ideia &eacute; dividir um n&uacute;mero (divisor) por outro valor (dividendo). Ou seja, &eacute; pegar um todo x e fracion&aacute;-lo em y partes iguais, com um resultado z: x\/y = z, que tamb&eacute;m pode ser representado por x &#4965; y = z e a opera&ccedil;&atilde;o &eacute; lida como &ldquo;x dividido por y &eacute; igual a z&rdquo;.&nbsp;<\/p><p class=\"wp-block-paragraph\">Como a <span id=\"urn:enhancement-e647f296-b7e1-4dbe-9b6b-e6fb78cae9f6\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/multiplicacao\">multiplica&ccedil;&atilde;o<\/span> e a <span id=\"urn:enhancement-8a9b4165-abcf-4afd-aa1d-a0044a25e101\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/divisao\">divis&atilde;o<\/span> s&atilde;o opera&ccedil;&otilde;es inversas, h&aacute; uma rela&ccedil;&atilde;o em que:<\/p><p class=\"has-text-align-center wp-block-paragraph\">Se x &#4965; y = z,<br>Ent&atilde;o z*y = x<\/p><h3 class=\"wp-block-heading\" id=\"h-ordem-de-operacoes\">Ordem de Opera&ccedil;&otilde;es<\/h3><p class=\"wp-block-paragraph\">A ordem das opera&ccedil;&otilde;es &eacute; outro fator importante no estudo das opera&ccedil;&otilde;es b&aacute;sicas da matem&aacute;tica, principalmente para a resolu&ccedil;&atilde;o de <span id=\"urn:enhancement-9fdadf72-96aa-4f59-9d92-20120c0d2b66\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/expressoes-algebricas\">express&otilde;es alg&eacute;bricas<\/span> que possuem muitos fatores e envolvem diferentes opera&ccedil;&otilde;es.&nbsp;<\/p><p class=\"wp-block-paragraph\">A primeira coisa a ser feita &eacute; resolver todas as opera&ccedil;&otilde;es que est&atilde;o nos par&ecirc;nteses. Sempre seguindo a seguinte ordem:&nbsp;<\/p><ol class=\"wp-block-list\">\n<li>primeiro resolvendo as exponencia&ccedil;&otilde;es;<\/li>\n\n\n\n<li>depois as multiplica&ccedil;&otilde;es e as divis&otilde;es; e&nbsp;<\/li>\n\n\n\n<li>&nbsp;depois as adi&ccedil;&otilde;es e subtra&ccedil;&otilde;es.<\/li>\n<\/ol><p class=\"wp-block-paragraph\">Note que as opera&ccedil;&otilde;es de <span id=\"urn:enhancement-48c82127-73f8-44b9-804a-f838e24a3982\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/multiplicacao\">multiplica&ccedil;&atilde;o<\/span> e <span id=\"urn:enhancement-39de6dc2-56a0-49dc-9a8c-d845b1e72907\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/divisao\">divis&atilde;o<\/span> est&atilde;o dentro da mesma etapa, ent&atilde;o, quando for resolv&ecirc;-las, siga a ordem de leitura ocidental: da esquerda para a direita. O mesmo deve acontecer com a <span id=\"urn:enhancement-c189b195-aed8-46a4-b3ce-38d96adbc65d\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/adicao\">adi&ccedil;&atilde;o<\/span> e <span id=\"urn:enhancement-c19c1d23-20f3-4ae0-b37d-96125c258bfd\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/subtracao\">subtra&ccedil;&atilde;o<\/span>.&nbsp;<\/p><p class=\"wp-block-paragraph\">Veja tamb&eacute;m: <a href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/matematica\/regra-de-sinais\/\" target=\"_blank\">Regra de sinais: o que &eacute; e como funciona<\/a><\/p><h3 class=\"wp-block-heading\" id=\"h-expressoes-algebricas\">Express&otilde;es Alg&eacute;bricas<\/h3><div class=\"wp-block-image is-style-default\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/lh7-us.googleusercontent.com\/xLmBQRfuzT-5Enr7VLz8M5sDEt1qsiW-_zRalLh_sILkKqI8lwmDZCxLdI5hX6eyRuJwDu5RuM88qWSHOr-zio1X-VxV6nLfKzhi9goThhaDljv3UHb4zwS9oGA5Hq8pn3DTBkA5kAVCW3hChHB8WUJT_xMZ6wZLZzcdQeChk23ZDvGjwy_XEbohCx1S8A\" alt=\"express&otilde;es alg&eacute;bricas em opera&ccedil;&otilde;es b&aacute;sicas\"><figcaption class=\"wp-element-caption\">Imagem: Reprodu&ccedil;&atilde;o\/Wikimedia<\/figcaption><\/figure>\n<\/div><p class=\"wp-block-paragraph\">A imagem acima mostra como foi resolvida uma <span id=\"urn:enhancement-89ce5be7-4456-40e0-8262-2c799ba532bd\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/expressoes-algebricas\">express&atilde;o alg&eacute;brica<\/span>, seguindo a ordem das opera&ccedil;&otilde;es. O primeiro passo foi resolver a opera&ccedil;&atilde;o dentro do par&ecirc;nteses (5n &ndash; 2n = 3n). Em seguida, o solucionador adicionou o resultado da exponencia&ccedil;&atilde;o 3<sup>3<\/sup> = 27. Realizados esses passos, segue com a <span id=\"urn:enhancement-f4d419b9-48f7-42a4-bc27-b180ecf9a697\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/divisao\">divis&atilde;o<\/span> e <span id=\"urn:enhancement-fd41bcff-a0cf-4910-9b5c-730ef70dd4bb\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/multiplicacao\">multiplica&ccedil;&atilde;o<\/span>, na ordem da esquerda para a direita (primeiro a <span id=\"urn:enhancement-f086f8f3-1a18-473a-bde8-1c1433f1e564\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/divisao\">divis&atilde;o<\/span> (27\/9 = 3), e depois a <span id=\"urn:enhancement-698e1edb-c4a0-4af1-853e-3894901755d1\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/multiplicacao\">multiplica&ccedil;&atilde;o<\/span> (-3. 3n = -9n).<\/p><p class=\"wp-block-paragraph\">Assim, sobram opera&ccedil;&otilde;es de <span id=\"urn:enhancement-9d1dca7c-d2a1-44a3-bfef-9431cb815c63\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/adicao\">adi&ccedil;&atilde;o<\/span> e <span id=\"urn:enhancement-4854b037-12a2-4a95-8c6c-204a0e45b779\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/subtracao\">subtra&ccedil;&atilde;o<\/span>. Como est&atilde;o no mesmo n&iacute;vel de hierarquia, basta resolver o c&aacute;lculo da esquerda para a direita, sem ordem de prioridade. Note, tamb&eacute;m, que trata-se de uma <span id=\"urn:enhancement-9823124b-cbe9-4056-aa26-2b66b77fe465\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/expressoes-algebricas\">express&atilde;o alg&eacute;brica<\/span> com a inc&oacute;gnita &ldquo;n&rdquo; e somente termos com o mesmo fator multiplicativo foram somados: 5n &ndash; 9n = &ndash; 4n e o +3 = +3, de forma que o c&aacute;lculo foi simplificado para -4n + 3.<\/p><figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<div class=\"cs-embed cs-embed-responsive\"><iframe title=\"Matem&aacute;tica B&aacute;sica: Beab&aacute; - Parte I\" width=\"1200\" height=\"675\" src=\"https:\/\/www.youtube.com\/embed\/LZROuQ3USmw?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" allowfullscreen><\/iframe><\/div>\n<\/div><\/figure><h2 class=\"wp-block-heading\" id=\"h-questao-sobre-logica-e-operacoes-basicas\"><span class=\"ez-toc-section\" id=\"Questao-sobre-logica-e-operacoes-basicas\"><\/span>Quest&atilde;o sobre l&oacute;gica e opera&ccedil;&otilde;es b&aacute;sicas<span class=\"ez-toc-section-end\"><\/span><\/h2><p class=\"wp-block-paragraph\">Enem (2020)<\/p><p class=\"wp-block-paragraph\">Um motociclista planeja realizar uma viagem cujo destino fica a 500 km de sua casa. Sua moto consome 5 litros de gasolina para cada 100 km rodados, e o tanque da moto tem capacidade para 22 litros. Pelo mapa, observou que no trajeto da viagem o &uacute;ltimo posto dispon&iacute;vel para reabastecimento, chamado Estrela, fica a 80 km do seu destino. Ele pretende partir com o tanque da moto cheio e planeja fazer somente duas paradas para reabastecimento, uma na ida e outra na volta, ambas no posto Estrela. No reabastecimento para a viagem de ida, deve considerar tamb&eacute;m combust&iacute;vel suficiente para se deslocar por 200 km no seu destino.<\/p><p class=\"wp-block-paragraph\">A quantidade m&iacute;nima de combust&iacute;vel, em litro, que esse motociclista deve reabastecer no posto Estrela na viagem de ida, que seja suficiente para fazer o segundo reabastecimento, &eacute;<\/p><p class=\"wp-block-paragraph\"><strong>A) <\/strong>13.<br><strong>B) <\/strong>14.<br><strong>C) <\/strong>17.<br><strong>D) <\/strong>18.<br><strong>E) <\/strong>21.<\/p><p class=\"wp-block-paragraph\"><strong>Resposta: <\/strong>Ele vai sair com o tanque cheio de 22 L. Para andar por 500 &ndash; 80 = 420 km, ele consumiu<\/p><p class=\"wp-block-paragraph\">420 \/ 100 &#8729; 5 = 21 L<\/p><p class=\"wp-block-paragraph\">Restando apenas 1 L no tanque.<\/p><p class=\"wp-block-paragraph\">Em seguida, ele ir&aacute; andar 80 km para chegar ao destino, 200 km no destino e mais 80 km pra retornar ao posto. Ele precisar&aacute; de<\/p><p class=\"wp-block-paragraph\">(80 + 200 + 80)\/100 &#8729; 5 = 18 L<\/p><p class=\"wp-block-paragraph\">Como o tanque ainda possui 1 L, ele abastecer&aacute; com 17 L.<\/p><p class=\"wp-block-paragraph\">Alternativa correta: <strong>C<\/strong>.<\/p><h2 class=\"wp-block-heading\" id=\"h-estude-para-as-provas-com-a-coruja\"><span class=\"ez-toc-section\" id=\"Estude-para-as-provas-com-a-Coruja\"><\/span>Estude para as provas com a Coruja!<span class=\"ez-toc-section-end\"><\/span><\/h2><p class=\"wp-block-paragraph\">O Estrat&eacute;gia Vestibulares trabalha para que sua jornada de estudos seja mais acess&iacute;vel e adapt&aacute;vel. Com os Livros Digitais Interativos (LDI), voc&ecirc; pode ler o material, grifar, fazer coment&aacute;rios e tudo isso fica compilado em um resumo s&oacute; seu, para voc&ecirc; acessar sempre que desejar. 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