2. Add Integers
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What happens when you add a real number to its opposite?
Changing the order of the terms does not change the sum.
Additive Inverse Property
Commutative Property of Addition
x+(-x)=0 In this case, the terms are being added. The equation shows that adding a number to its opposite will always equal zero. This is the Inverse Property of Addition.
x+(-y)=-y+x In this case, the terms are being added. The equation shows that changing the order of the terms being added does not change the sum. This is the Commutative Property of Addition.