### All Pre-Algebra Resources

## Example Questions

### Example Question #1 : Multiplicative Inverse Property

Simplify.

**Possible Answers:**

**Correct answer:**

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

**Possible Answers:**

**Correct answer:**

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 ?

**Possible Answers:**

**Correct answer:**

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?

**Possible Answers:**

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

**Correct answer:**

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?

**Possible Answers:**

**Correct answer:**

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.