# 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 #1 : 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 #1 : 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 #1 : 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 #1 : Multiplicative Inverse Property

Which of the following displays the multiplicative inverse property?      Explanation:

The mulitplicative inverse property deals with reciprocals.  For example, the multiplicative inverse, or reciprocal, of the number 7 is .

The multiplicative inverse property states that a number times its multiplicative inverse equals 1.

Therefore, displays the multiplicative inverse property.

### All Pre-Algebra Resources 