# Pre-Algebra : Additive Inverse Property

## Example Questions

### Example Question #1 : Additive Inverse Property

When is  neither positive nor negative?

Possible Answers:

Correct answer:

Explanation:

The additive inverse of  is . This means that when  is added to  the result is zero.

can be written as .

Since zero is the only number that is neither positive nor negative the answer is .

### Example Question #2 : Additive Inverse Property

What is the additive inverse of   ?

Possible Answers:

Correct answer:

Explanation:

The rule for Additive Inverse Property is .

Using this rule if ,

So the additive inverse is .

### Example Question #3 : Additive Inverse Property

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

Possible Answers:

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

Correct answer:

Explanation:

The inverse property of addition states that for every real number, a number exists, called the additive inverse, such that the number and its inverse have sum 0. Of the statements given, only

demonstrates this property, so it is the correct choice.

### Example Question #4 : Additive Inverse Property

What is the additive inverse of 30?

Possible Answers:

Correct answer:

Explanation:

The question asks us what number added with 30 will equal zero.  Write the mathematical equation that represents this scenario.

Subtract 30 from both sides.

### Example Question #2 : Additive Inverse Property

Which of the following displays the additive inverse property?

Possible Answers:

Correct answer:

Explanation:

The additive inverse property is when two numbers added together equal zero.  So,

displays that property.

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