Question

Find using distributive property: $4275\times 125$.

Answer 1

Compute the required value:

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

$125$can be written as $(100+25)$.

Therefore,

$4275\times 125=4275\times (100+25)$

$\Rightarrow 4275\times 125=(4275\times 100)+(4275\times 25)$ [Using distributive property]

$\Rightarrow 4275\times 125=427500+106875$

$\Rightarrow 4275\times 125=534375$

Hence, the required answer is $4275\times 125=534375$.