Question

Find the product, using suitable properties: $8\times 53\times \left(-125\right)$

Answer 1

Simplify using the associative property of multiplication:

According to the associative property of multiplication,

$a\times \left(b\times c\right)=\left(a\times b\right)\times c$

The given expression is $8\times 53\times \left(-125\right)$.

So, the required product is,

$8\times 53\times \left(-125\right)=-8\times 53\times 125$

$\Rightarrow 8\times 53\times \left(-125\right)=-\left(8\times 125\right)\times 53$ $\left[\because a\times \left(b\times c\right)=\left(a\times b\right)\times c\right]$

$\Rightarrow 8\times 53\times \left(-125\right)=-\left(1000\right)\times 53$

$\Rightarrow 8\times 53\times \left(-125\right)=-53000$

Hence, the required value of $8\times 53\times \left(-125\right)$ is $-53000$.