** Definition of Inverse Properties**

- Inverse Properties state that when a number is combined with its inverse, it is equal to its identity.

**More about Inverse Properties**

- There are two types of inverses of a number: Additive Inverse and Multiplicative Inverse.
- `-
*a*` is said to be additive inverse of `*a*` if*a*+ (-*a*) = 0. - `` is said to be multiplicative Inverse of `
*a*` if .

**Example of Inverse Properties**

- The additive inverse of 54 is – 54 because if a is a real number, then the additive inverse of
*a*is -*a*so that*a*+ (-*a*) = 0.

**Solved Example on Inverse Properties**

Find the multiplicative inverse of 7.

Choices:

A. - 7

B. 7

C.

D. √7

Correct Answer: C

Solution:

Step 1:Multiplicative inverse of a number is the reciprocal of the number.

Step 2:Reciprocal of 7 is .

Step 3:7 × = 1.

Step 4:So, the multiplicative inverse of 7 is .

**Related Terms for Inverse Properties**

- Identity
- Inverse
- Property
- Reciprocal