What is the additive inverse property? Definition and examples


The additive inverse property states that the sum of a number and its opposite is equal to zero. For example, the sum of 8 and -8 is equal to zero.

8 + -8 = 0

The additive inverse property is also called inverse property of addition

In general, the inverse property of addition states that for every real number n, there exist an additive inverse -n such that n + (-n) = 0

More examples illustrating the additive inverse property

15 + -15 = 0

1 + -1 = 0

2/3 + -2/3 = 0

y + -y = 0

x + -x = 0

7 + -7 = 0

x/y + -x/y = 0

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