**Inverse Property of Multiplication**

Suppose a is a nonzero real number, the **Inverse Property of Multiplication** states that the product of a and its reciprocal, which can be written as {1 \over a}, is always equal to 1. Note that {1 \over a} is the **Multiplicative Inverse** of a.

You may notice that the product of any nonzero real number and its reciprocal is always equal to 1, which is the **Multiplicative Identity**.

We can write this property of multiplication as a \times {1 \over a} = 1 or {1 \over a} \times a = 1.