Question

Find the product using suitable properties: $258\times 1008$

Answer 1

Simplify using the distributive law of multiplication:

According to the distributive law of multiplication over addition,

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

The given expression is $258\times 1008$.

Then, the required product is,

$258\times 1008=258\times \left(1000+8\right)$

$\Rightarrow 258\times 1008=258\times 1000+258\times 8$ $\left[\because a\times \left(b+c\right)=a\times b+a\times c\right]$

$\Rightarrow 258\times 1008=258000+2064$

$\Rightarrow 258\times 1008=260064$

Hence, the product of $258\times 1008$ is $260064$.