Question

Find using distributive property: $824\times 25$.

Answer 1

Compute the required value:

We know the distributive property as $a\times (b+c)=(a\times b)+(a\times c)$.

$25$ can be written as $(20+5)$.

Therefore,

$824\times 25=824\times (20+5)$

$\Rightarrow 824\times 25=\left(824\times 20\right)+\left(824\times 5\right)$ [Applying Distributive property]

$\Rightarrow 824\times 25=16480+4120$

$\Rightarrow 824\times 25=20600$

Hence, the required answer is $824\times 25=20600$.