# How do you use the distributive property to find a product mentally?

May 2, 2018

See examples below

#### Explanation:

Distributive property is $a \left(b + c\right) = a b + a c$ and also $\left(a + b\right) \left(c + d\right) = a c + a d + b c + b d$

Imagine you want calculate 7·25

In this case you can say $7 \left(20 + 5\right) = 140 + 35 = 175$

Another one: 23·42=(20+3)·(40+2)=20·40+20·2+3·40+2·3=800+40+120+6=966