6º Ano - Divisibilidade por 7
Autor: Daniel Girardi Dias | Publicado: 2017-04-23T15:48:00-03:00


Quer lembrar a divisibilidade por 7? Veja um pouco do que estará na matriz de vocês...



Por
7:

Para descobrir se um número é
divisível por 7, seguimos o seguinte processo:



 

  
  
Exemplo

  
  
É?

  
  
Justificativa
  1

  
  
Passo
  a Passo

 

  
  
2671934

  
  
Não

  
  
<!--[if !supportLists]-->·&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
  <!--[endif]-->2671934 à 267193 e 4

<!--[if !supportLists]-->·&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
  <!--[endif]-->267193 – 4x2 = 267193 – 8 = 267185

<!--[if !supportLists]-->·&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
  <!--[endif]-->267185 à 26718 e 5

<!--[if !supportLists]-->·&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
  <!--[endif]-->26718 – 5x2 = 26718 – 10 = 26708

<!--[if !supportLists]-->·&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
  <!--[endif]-->26708 à 2670 e 8

<!--[if !supportLists]-->·&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
  <!--[endif]-->2670 – 8x2 = 2670 – 16 = 2654

<!--[if !supportLists]-->·&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
  <!--[endif]-->2654 à 265 e 4

<!--[if !supportLists]-->·&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
  <!--[endif]-->265 – 4x2 = 265 – 8 = 257

<!--[if !supportLists]-->·&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
  <!--[endif]-->257 à 25 e 7

<!--[if !supportLists]-->·&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
  <!--[endif]-->25 – 7x2 = 25 – 14 = 11; e 11 não é divisível por 7.

  
  


<!--[if !supportLists]-->1.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
  <!--[endif]-->Separamos o número em
  duas partes: todo o começo (parte 1) e o último algarismo (parte 2).

<!--[if !supportLists]-->2.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
  <!--[endif]-->Multiplicamos este
  último algarismo por 2 e diminuímos da parte 1 do número.

<!--[if !supportLists]-->3.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
  <!--[endif]-->Obtemos um novo
  número.



Refazemos este processo até
  ser fácil descobrir se o número é ou não divisível por 7.

 

  
  
1435

  
  
Sim

  
  
<!--[if !supportLists]-->·&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
  <!--[endif]-->1435 à 143 e 5

<!--[if !supportLists]-->·&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
  <!--[endif]-->143 – 2x5 = 143 – 10 = 133

<!--[if !supportLists]-->·&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
  <!--[endif]-->133 à 13 e 3

<!--[if !supportLists]-->·&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
  <!--[endif]-->13 – 2x3 = 13 – 6 = 7; e 7 é divisível por 7

 




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<![endif]-->

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table.MsoNormalTable
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<![endif]-->



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