It gives closure to the set of real numbers with regard to the binary operation of addition. This makes the set a ring.
The additive inverse is used, sometimes implicitly, in subtraction.
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A number and its additive inverse add up to zero. If a number has no sign, add a "-" in front of it to get its additive inverse. The additive inverse of 5 is -5. The additive inverse of x is -x. If a number has a minus sign, take it away to get its additive inverse. The additive inverse of -10 is 10. The additive inverse of -y is y.
They can be used to move additive terms from one side of an equation to the other.
-45
Used as additive inverse
The additive inverse of 41 is -41. An additive inverse is the number that will make the sum equal zero.