Question

Find the product, using suitable properties: $7\times \left(50-2\right)$

Answer 1

Simplify using the distributive law of multiplication:

According to the distributive law of multiplication over subtraction,

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

The given expression is $7\times \left(50-2\right)$.

Then, the required product is,

$7\times \left(50-2\right)=7\times 50-7\times 2$ $[\because a\times \left(b-c\right)=a\times b-a\times c]$

$\Rightarrow 7\times \left(50-2\right)=350-14$

$\Rightarrow 7\times \left(50-2\right)=336$

Hence, the product of $7\times \left(50-2\right)$ is $336$.