Question

$\left[12\times \left(-7\right)\right]\times 5=\_\_\_\times \left[\left(-7\right)\times \_\_\_\right]$

• A. _$12$___
• B. ___$5$___

Answer 1

The associative property of addition and multiplication states that the way of a grouping of numbers doesn’t matter$.$

Let $x,y$ and $z$ be any three integers, then

$x+\left(y+z\right)=\left(x+y\right)+z$ and

$x\times \left(y\times z\right)=\left(x\times y\right)\times z$

So, the given expression can be expressed as shown below

$\left[12\times \left(-7\right)\right]\times 5=12\times \left[\left(-7\right)\times 5\right]$

Hence$,$ the missing terms are $12$ and $5$