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.