Prove associative property for the following:$34 +(-27)-12$

Given :

The given expression is $34 +(-27)-12$

To do :

We have to prove association property for the given expression.

Solution :

Associative Property of Addition for Integers:

The addition follows associative property. Associative property of addition states that

$(a+b)+c = a+(b+c)$

$34 +(-27)-12$

We know that,

$(+) \times (-) = (-)$

We can add it in any order.

LHS :

$34 +(-27)-12 = 34-27-12 = (34-27)-12 = 7-12 = -(12-7) = -5$.

RHS :

$34 +(-27)-12 = 34+(-27-12) = 34+[-(27+12)] = 34+(-39) = 34 - 39 = -(39-34) = -5$.

$LHS = RHS$

Therefore, Associative property proved for $34 +(-27)-12$.

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Updated on: 10-Oct-2022

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