## Inverse Property of Multiplication

Read this section to see examples of how to apply the inverse property of addition. Focus on the examples in the boxes. Note that in the first multiplication example box, we can use the inverse property for fractions as well as whole numbers.

### Use the Inverse Properties of Addition and Multiplication

We know |

What number multiplied by gives the multiplicative identity, ? In other words two times what results in ?

We know |

Notice that in each case, the missing number was the reciprocal of the number.

We call the **multiplicative inverse** of . The reciprocal of a number is its multiplicative inverse. A number and its reciprocal multiply to , which is the multiplicative identity.

#### INVERSE PROPERTIES

**Inverse Property of Addition** for any real number

**Inverse Property of Multiplication** for any real number

Source: Rice University, https://openstax.org/books/prealgebra/pages/7-4-properties-of-identity-inverses-and-zero

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