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.
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The additive inverse of 9 is -9.
It is a consequence of the isomorphism between powers of numbers under multiplication and their indices under addition. This leads to the definition of x-a as the [multiplicative] inverse of xa. Then xa * x-a = xa-a = x0 But since x-a is the inverse of xa, their product is 1. That is to say, x0 = 1.
The inverse of addition is subtraction.
Quite simply, they are closed under addition. No "when".
* *It is the reverse of the actionEx.Addition is the inverse of subtrationmultiplication is the inverse of division