# Distributive Property of Multiplication Over Addition Example

The distributive property is the most used properties in math. In the distributive property, the number inside the parentheses and the number outside the parentheses are multiplied. The below given is the distributive property tutorial which helps you in understanding the concept and calculation by providing the distributive property of multiplication over addition example.

## Distributive Property Tutorial

The distributive property of multiplication over addition property is an algebraic property. It states that multiplying a sum by a number gives the same result as multiplying each addend by the number and then adding the products together. It is applied when you multiply a value by a sum.

###### Example

Let us consider the values a = 5, b = 3 and c = 9.
**Solution**

By Distributive Property, **a (b + c) = ab + ac**
**LHS = a (b + c)**
= 5 × (3 + 9)
= 5 x 12
= 60
**RHS = ab + ac**
5 × 3 + 5 × 9
= 15 + 45
= 60
From the above, **LHS = RHS = 60**.
Hence, the distributive property is proved.