Additive Inverse Property

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Pre-Algebra › Additive Inverse Property

Questions 1 - 5

1

Which of the following displays the additive inverse property?

Explanation

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

displays that property.

2

When is neither positive nor negative?

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?

$-\frac{1}{30}$

$\frac{1}{30}$

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 $3x^{2}$ ?

$-3x^{2}$

$3x^{2}$

$1/3x^{2}$

$3x^{-2}$

Explanation

The rule for Additive Inverse Property is $a + \left ( -a\right ) = 0$ .

Using this rule if $a = 3x^{2}$ ,

$3x^{2} + \left ( -3x^{2}\right ) = 0$

So the additive inverse is $-3x^{2}$ .

5

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

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

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.

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