Additive inverse just means that when you add them, it equals 0. So, 1 and -1; 12 and -12; -74 and 74; 0 and -0.
It can also be applied to things other than integers:
x+12 and -x-12; 2x-3 and -2x+3 (which is the same as 3-2x)
Or, if you know anything about modular arithmetic, then: 7+x≡0 (mod 9) and 2; 6-x≡4 (mod 7) and -2
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The additive inverse means what undoes adding. The additive inverse of +1 is -1.
They have no real relations ofther than being mathmatical properties The additive identity states that any number + 0 is still that number; a+0 = a The additive inverse property states that any number added to its inverse/opposite is zero; a + -a = 0
additive inverse property
It is used to show the inverse (opposite of a number) in algebra.
For every number, a,there exists a number called the additive inverse, -a, such that a + -a = 0.