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caros a venda Números compatíveis

Números compatíveis

• A palavra “compatível” significa “combinam”.
Números compatíveis são números que são amigáveis uns com os outros.

Por exemplo:

15 e 5 são números compatíveis, pois, 5 entra 15 uniformemente—15/5 = 3
Então são 15 e 3, porque, 3 entra 15 uniformemente—15/3 = 5

Números compatíveis • facilitam a estimativa ou o cálculo mental.
Eles são úteis na estimativa da soma, diferença, produto ou quociente.
Números compatíveis estão perto no valor para os números reais dados no problema.
Muitas vezes terminam em 0 ou 5.

Vejamos alguns exemplos.

Exemplo 1

Estimativa de 33 + 28.

Olhe para os números próximos que são mais fáceis de trabalhar com.

Múltiplos de 10 são mais fáceis de trabalhar com.

28 está perto de 30.

Adicionando 33 e 30 é fácil.

Então,

33 + 28 é aproximadamente igual a 33 + 30 = 63.

Exemplo 2

Estimativa 12 + 59 + 38.

Agora, olhar para os números que podem ser adicionados para formar
um 10 ou múltiplos de 10.

12 + 59 + 38

= 12 + 38 + 59—trocar a posição das 59 e 38

= 50 + 59—o 2 e o 8 são compatíveis. Adicionam-se para fazer
um 10.

= 109

Exemplo 3

Estime 52 – 37.

Olhe para os números próximos que são mais fáceis de trabalhar
com. Múltiplos de 10 são mais fáceis de trabalhar com.

37 está perto de 40.

Subtrair 40 de 52 é fácil.

Então,

52 – 37 é aproximadamente igual a 52 – 40 = 12.

Exemplo 4

Estime o valor de 61 × 5,8.

Números compatíveis para 61 e 5.8 são 60 e 6, respectivamente.

Então, 61 × 5.8 é aproximadamente igual a
60 × 6 = 360.

Exemplo 5

Estimativa 33/8.

Para obter uma boa estimativa, ronda os dividendos para
o múltiplo mais próximo do divisor.

Procure por um número ‘fechar a 33 e ao mesmo tempo é divisível por 8’.
Em outras palavras, tente encontrar um múltiplo de 8 que está perto de 33.

32 é a escolha certa.

Então,

33/8 é aproximadamente igual a 32/8 = 4.

Exemplo 6

Estimativa 29/6.5.

29 e 6.5 não são amigáveis uns com os outros. Tente encontrar um par de números compatíveis, um dos quais é perto de 29 e o outro está perto de 6,5.

Arredondar os números 29 e 6.5.

30, 6 é o par ideal de números compatíveis com 30 perto 29 e 6 perto de 6,
5.

Portanto, 29 ÷ 6,5 é aproximadamente igual a 30 ÷ 6 = 5.

Nossa estimativa é 5. O quociente real é 4,46. Nós não somos de longe a resposta real.

Às vezes nós deve ter cuidadosos sobre nossa escolha de números compatíveis.
É importante escolher números compatíveis
que são apropriados para uma determinada situação.

Vamos examinar um exemplo.

83 maçãs precisam ser embalado em caixas.
Cada caixa contém 10 maçãs. Sobre quantas caixas você precisará?

Para encontrar o número de caixas necessárias para embalar todas as maçãs,
nós temos que dividir 83 por 10. Mas…83 e 10 não ficam bem juntos.

Você pode pensar em um número que vai bem com
10 e ao mesmo tempo, é mais perto de 83?

Vamos tentar a 80.

Bem…80 é realmente amigável com 10, desde que 10 entra em 80 uniformemente.

Mas lembre-se! Temos de arrumar todos os 83 maçãs.
83 é maior que 80. Se considerarmos a 80, então nós vamos ter 3 maçãs à esquerda descompactadas.

Pense em outro número…90?

Viva!

90 está perto de 83 e é amigável com 10 desde 90 é um múltiplo de 10.

83/10 é aproximadamente igual a 90/10 = 9.

Portanto, você precisará de cerca de 9 caixas.

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