Pre-Algebra : Additive Inverse Property

Study concepts, example questions & explanations for Pre-Algebra

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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 #1 : 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 #2 : 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 #3 : 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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