**Inverse Property of Addition**

Let’s assume that a is a real number, the **Inverse Property of Addition** states that the sum of a and its opposite, which can be written as -a, is always equal to 0. In this case, the -a is the **Additive Inverse** of a.

Observe that the sum of any real number and its opposite is always equal to 0 which is the Additive Identity.

This addition property can be expressed in equation as a + \left( { - a} \right) = 0 which is equivalent to \left( { - a} \right) + a = 0.