**Distributive Property of Multiplication over Addition**

Assume that a, b, and c are real numbers, the **Distributive Property of Multiplication over Addition** states that a multiplied by the sum of b and c is equal to the sum of the products of a and b, and a and c. We can express this in an equation as a\left( {b + c} \right) = ab + ac.

This property can also be stated as follows: the sum of a and b multiplied by c is equal to the sum of the products of a and c, and b and c. In equation form, we have \left( {a + b} \right)c = ac + bc.