Question

Find the product using suitable properties: $738\times 103$

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 $738\times 103$.

Then, the required product is,

$738\times 103=738\times \left(100+3\right)$

$\Rightarrow 738\times 103=738\times 100+738\times 3$ $\left[\because a\times \left(b+c\right)=a\times b+a\times c\right]$

$\Rightarrow 738\times 103=73800+2214$

$\Rightarrow 738\times 103=76014$

Hence, the product of $738\times 103$ is $76014$.