Inverse Property of Addition

Inverse Property of Addition

Use the Inverse Properties of Addition and Multiplication

What number added to 5 gives the additive identity, 0?
 5+ \text{_______} =0
We know 5+(-5)=0
What number added to −6 gives the additive identity, 0?
 −6+ \text{_______} =0
We know -6+6=0

Notice that in each case, the missing number was the opposite of the number.

We call -a the additive inverse of a . The opposite of a number is its additive inverse. A number and its opposite add to 0 , which is the additive identity.

Source: Rice University,
Creative Commons License This work is licensed under a Creative Commons Attribution 4.0 License.