# How do you multiply using the distributive property #5(31)#?

##### 1 Answer

Aug 6, 2018

#### Explanation:

Multiplication is both left-distributive and right-distributive over addition.

That is, for any

#a(b+c) = ab+ac" "# left distributive

#(a+b)c = ac+bc" "# right distributive

We can use left distributivity to make the example product easier to calculate, finding:

#5(31) = 5(30+1) = 5(30)+5(1) = 150+5 = 155#