{"id":93399,"date":"2017-01-09T14:44:26","date_gmt":"2017-01-09T16:44:26","guid":{"rendered":"https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/?p=93399"},"modified":"2026-05-18T16:20:04","modified_gmt":"2026-05-18T18:20:04","slug":"divisao","status":"publish","type":"post","link":"https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/matematica\/divisao","title":{"rendered":"Divis\u00e3o"},"content":{"rendered":"<p>A\u00a0<b>divis\u00e3o<\/b>\u00a0\u00e9 uma das quatro opera\u00e7\u00f5es aritm\u00e9ticas b\u00e1sicas, usada para repartir um n\u00famero (dividendo) em partes iguais com base em outro n\u00famero (divisor), resultando em um quociente e, por vezes, um resto.<\/p>\n<p>A\u00a0<strong>divis\u00e3o<\/strong>\u00a0\u00e9 uma opera\u00e7\u00e3o matem\u00e1tica que ocorre entre dois operandos identificada pelo sinal de (\/).<\/p>\n<p><b>Neste procedimento, dizemos que existe um dividendo e um divisor, que ir\u00e3o produzir um quociente inteiro e resto inteiro como resultado, localizados da seguinte forma:\u00a0<\/b><strong>quociente * divisor + resto = dividendo<\/strong><\/p>\n<p align=\"center\"><img decoding=\"async\" class=\"aligncenter size-full wp-image-177823\" src=\"https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/wp-content\/uploads\/2017\/01\/divisao-1-1.jpg\" alt=\"Divis\u00e3o\" width=\"253\" height=\"191\" \/><\/p>\n<p><strong>Exemplos de divis\u00f5es s\u00e3o:<\/strong><\/p>\n<p><strong>Ex:\u00a0<\/strong>\u00bd = 0,5<\/p>\n<p><strong>Ex:\u00a0<\/strong>\u2156 = 0,4<\/p>\n<p align=\"left\"><strong>Ex:\u00a0<\/strong>50\/2 = 25<\/p>\n<p><strong>Para realizar a opera\u00e7\u00e3o, usamos uma sequ\u00eancia de passos:<\/strong><\/p>\n<p><strong>Passo 1:\u00a0<\/strong>iremos identificar dentre os algarismos mais significativos, qual \u00e9 o n\u00famero m\u00ednimo para podermos dividir<\/p>\n<p align=\"center\"><img decoding=\"async\" class=\"aligncenter size-full wp-image-177824\" src=\"https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/wp-content\/uploads\/2017\/01\/divisao-2.gif\" alt=\"Divis\u00e3o\" width=\"225\" height=\"158\" \/><\/p>\n<p><strong>Passo 2:\u00a0<\/strong>No nosso exemplo, o 5 \u00e9 suficiente. Iremos ent\u00e3o encontrar\u00a0<strong>o n\u00famero que multiplicado por 3<\/strong>\u00a0<strong>(nosso divisor) \u00e9 menor ou igual que 5,<\/strong>\u00a0que no nosso caso \u00e9 1.<\/p>\n<p>Depois disso, faremos a opera\u00e7\u00e3o 5 \u2013 3 * 1 = 2<\/p>\n<p><strong>Passo 2:\u00a0<\/strong>No nosso exemplo, o 5 \u00e9 suficiente. Iremos ent\u00e3o encontrar\u00a0<strong>o n\u00famero que multiplicado por 3<\/strong>\u00a0<strong>(nosso divisor) \u00e9 menor ou igual que 5,<\/strong>\u00a0que no nosso caso \u00e9 1.<\/p>\n<p>Depois disso, faremos a opera\u00e7\u00e3o 5 \u2013 3 * 1 = 2<\/p>\n<p align=\"center\"><img decoding=\"async\" class=\"aligncenter size-full wp-image-177825\" src=\"https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/wp-content\/uploads\/2017\/01\/divisao-3.jpg\" alt=\"Divis\u00e3o\" width=\"191\" height=\"195\" \/><\/p>\n<p><strong>Passo 3:\u00a0<\/strong>Depois, for\u00e7osamente \u201cdesce\u201d o algarismo 7. Ent\u00e3o faremos, semelhante ao passo anterior, a busca pelo<strong>\u00a0n\u00famero ao qual sua multiplica\u00e7\u00e3o por 3 (nosso divisor) \u00e9 menor ou igual a 27,\u00a0<\/strong>que no nosso caso \u00e9 9.<\/p>\n<p>Faremos 27 \u2013 3 * 9 = 27 \u2013 27 = 0<\/p>\n<p align=\"center\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-177826\" src=\"https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/wp-content\/uploads\/2017\/01\/divisao-4.jpg\" alt=\"Divis\u00e3o\" width=\"179\" height=\"252\" \/><\/p>\n<p align=\"left\"><strong>Passo 4:<\/strong>\u00a0Agora, temos o algarismo menor que o divisor (3 &gt; 0) \u00a0e nenhum outro restante no dividendo, assim sabemos que terminamos a nossa divis\u00e3o.<\/p>\n<p align=\"center\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-177827\" src=\"https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/wp-content\/uploads\/2017\/01\/divisao-5.jpg\" alt=\"Divis\u00e3o\" width=\"378\" height=\"283\" srcset=\"https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/wp-content\/uploads\/2017\/01\/divisao-5.jpg 378w, https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/wp-content\/uploads\/2017\/01\/divisao-5-300x225.jpg 300w\" sizes=\"(max-width: 378px) 100vw, 378px\" \/><\/p>\n<p><strong>As divis\u00f5es s\u00e3o separadas em dois tipos:<\/strong><\/p>\n<p>As divis\u00f5es\u00a0<strong>inteiras<\/strong>, isto \u00e9, que n\u00e3o deixam resto e seu resultado \u00e9 um n\u00famero inteiro;<\/p>\n<p>As fracion\u00e1rias, que deixam resto, fazendo com que a divis\u00e3o entre os operandos seja um n\u00famero pertencente ao conjunto dos reais.<\/p>\n<p><strong>Ex:<\/strong>\u00a034\/2 = 17<br \/>\nEsta \u00e9 uma divis\u00e3o inteira.<\/p>\n<p><strong>Ex:<\/strong>\u00a0100\/25 = 4<br \/>\nEsta \u00e9 uma divis\u00e3o inteira.<\/p>\n<p><strong>Ex:<\/strong>\u00a01\/10 = 0,1<br \/>\nEsta \u00e9 uma fra\u00e7\u00e3o pois tem o quociente 0 e resto 1.<\/p>\n<p><strong>Ex:<\/strong>\u00a07\/4 = 1,75<br \/>\nEsta \u00e9 uma fra\u00e7\u00e3o pois tem o quociente 1 e resto 3.<\/p>\n<p><strong>Ex:<\/strong>\u00a02\/9 = 0,22222\u2026<br \/>\nEsta \u00e9 uma fra\u00e7\u00e3o pois tem o quociente 0 e resto 2.<\/p>\n<p><b>Divis\u00e3o<\/b><strong>\u00a0&#8211; Propriedades<\/strong><\/p>\n<p>A divis\u00e3o de elementos \u00e9 a opera\u00e7\u00e3o inversa da multiplica\u00e7\u00e3o, garantindo assim as propriedades de\u00a0<strong>exist\u00eancia do elemento inverso,\u00a0<\/strong>assim como na multiplica\u00e7\u00e3o. Tamb\u00e9m, existe o elemento neutro, que \u00e9 o mesmo da multiplica\u00e7\u00e3o, o n\u00famero 1.<\/p>\n<p><strong>Ex:<\/strong>\u00a0x\/1 = x<\/p>\n<p><strong>Ex:<\/strong>\u00a03\/1 = 3<\/p>\n<p>Mas igualmente a subtra\u00e7\u00e3o n\u00e3o assume todas as propriedades da soma, a divis\u00e3o tamb\u00e9m n\u00e3o assume todas as propriedades da multiplica\u00e7\u00e3o.<\/p>\n<p><strong>Ex:\u00a0<\/strong>a divis\u00e3o\u00a0<strong>n\u00e3o \u00e9 associativa.<\/strong><\/p>\n<p>(3 \/ 4) \/ 2 = 0,375<\/p>\n<p>3 \/ (4 \/ 2) = 1,5<\/p>\n<p><strong>Ex:\u00a0<\/strong>a divis\u00e3o\u00a0<strong>n\u00e3o \u00e9 comutativa.<\/strong><\/p>\n<p>4 \/ 2 = 2<\/p>\n<p>2 \/ 4 = 0,5<\/p>\n<p>Uma peculiaridade bastante importante sobre as divis\u00f5es \u00e9 que esta opera\u00e7\u00e3o n\u00e3o \u00e9 definida para o divisor zero (0).<\/p>\n<p><strong>Fonte:<\/strong>\u00a0Col\u00e9gio S\u00e3o Francisco\/Luisa Boccardo Burini<\/p>\n","protected":false},"excerpt":{"rendered":"<p>A\u00a0divis\u00e3o\u00a0\u00e9 uma das quatro opera\u00e7\u00f5es aritm\u00e9ticas b\u00e1sicas, usada para repartir um n\u00famero (dividendo) em partes iguais com base em outro n\u00famero (divisor), resultando em um quociente e, por vezes, um resto. A\u00a0divis\u00e3o\u00a0\u00e9 uma opera\u00e7\u00e3o matem\u00e1tica que ocorre entre dois operandos identificada pelo sinal de (\/). Neste procedimento, dizemos que existe um dividendo e um divisor, [&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-93399","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>Divis\u00e3o, Opera\u00e7\u00e3o, Matem\u00e1tica, N\u00famero, Divisor Divis\u00e3o<\/title>\n<meta name=\"description\" content=\"Divis\u00e3o, Opera\u00e7\u00e3o, Matem\u00e1tica, N\u00famero, Divisor, Dividendo, Multiplica\u00e7\u00e3o, Quociente, Propriedades, Tipos, Exemplo, Divis\u00e3o\" \/>\n<meta name=\"robots\" content=\"noindex, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<meta 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