Additive Inverse Property

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Pre-Algebra › Additive Inverse Property

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1

Which of the following displays the additive inverse property?

CORRECT

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Explanation

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

displays that property.

2

When is neither positive nor negative?

CORRECT

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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 .

3

What is the additive inverse of 30?

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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.

4

What is the additive inverse of ?

CORRECT

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Explanation

The rule for Additive Inverse Property is .

Using this rule if ,

So the additive inverse is .

5

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

CORRECT

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

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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.