Question

The following examples illustrate the inverse property of addition. Study the examples, then choose the statement that best describes the property.

5 + (-5) = 0
-1.33 + 1.33 = 0

Answer 1

We conclude that the inverse property of addition defines that adding a number and its opposite will be equal to zero.

Explanation:

We know that adding a number and its opposite yields zero.

In other words, the inverse property of addition defines that adding a number and its opposite will be equal to zero.

For example,

• let 'x' be the number

• let '-x' be the opposite number of 'x'

Adding the number x and its opposite -x.

x + (-x) = 0

In other words, for every 'x', there is an additive inverse '-x' such that

x + (-x) = 0

Other examples such as:

5 + (-5) = 0

-1.33 + 1.33 = 0

It is clear that adding the number and its opposite produces zero.

Thus, we conclude that the inverse property of addition defines that adding a number and its opposite will be equal to zero.