Question

Find the product using suitable properties: $1005\times 168$

Answer 1

Simplify using the distributive law of multiplication:

According to the distributive law of multiplication over addition,

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

The given expression is $1005\times 168$.

Then, the required product is,

$1008\times 168=\left(1000+8\right)\times 168$

$\Rightarrow 1008\times 168=1000\times 168+8\times 168$ $\left[\because \left(a+b\right)\times c=a\times c+b\times c\right]$

$\Rightarrow 1008\times 168=168000+1344$

$\Rightarrow 1008\times 168=169344$

Hence, the product of $1005\times 168$ is $169344$.