# Pre-Algebra : Multiplicative Inverse Property

## Example Questions

### Example Question #1 : Multiplicative Inverse Property

Simplify.

Explanation:

To simplify a compound fraction, multiply the numerator by the reciprocal of the denominator. Remember that a compound fraction can easily be rewritten as a division problem!

Solve the multiplication.

Now we need to reduce the fraction to find our final answer.

### Example Question #2 : Multiplicative Inverse Property

What is the multiplicative inverse of      where

Explanation:

The rule for Multiplicative Inverse Property is   where .

Using this rule, if

,

then   is the Mulitplicative inverse, which is  .

After you simplify you get  which is the Multiplicative Inverse.

### Example Question #3 : Multiplicative Inverse Property

What is the multiplicative inverse of    where  ?

Explanation:

The rule for Multiplicative Inverse Property is

where .

Using this rule, if

,

then   is the  mulitplicative inverse, which is .

After you simplify you get  which is the multiplicative inverse.

### Example Question #4 : Multiplicative Inverse Property

Which of the following statements demonstrates the inverse property of multiplication?

None of the examples in the other responses demonstrates the inverse property of multiplication.

Explanation:

The inverse property of multiplication states that for every real number, a number exists, called the multiplicative inverse, such that the number and its inverse have product 1. Of the statements given, only

demonstrates this property.

### Example Question #5 : Multiplicative Inverse Property

Which of the following displays the multiplicative inverse property?