# How do you use the distributive property to multiply #3*215#?

##### 2 Answers

#### Explanation:

Multiplication is said to be distributive over addition since:

In this question are asked to use this property to multiply

As an example, I will choose to express

(NB: I could have choosen any other valid sum but this one will demonstrate the process well)

Now consider:

(These are known as its 'prime factors')

Because multiplication is distributive over addition I can write:

The distributive property means to multiply everything by the same thing. so

#### Explanation:

The problem can be rewritten as

Using the distributive property 3 must be multiplied by every term in the parenthesis . so that equals

3 x 200 = 600

3 x 10 = 30

3 x 5 = 15 add all three parts

600 + 30 + 15 = 645