additive inverse is when in an equation there is a plus zero. you automatically know that anything plus 0 is still that number, so that is additive identity.
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-27's additive inverse is 27 because when you add them together you get the additive identity, 0.
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
The additive inverse is a number subtracted it's self is 0: x + (-x) = 0 The additive identity is a number plus/minus 0 is itself: x +/- 0 = x They're very similar
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There are two related identity properties: the additive identity and the multiplicative identity. The additive identity property states that for x belonging to a set, there is an additive inverse in the set, which is denoted by -x such that x + (-x) = (-x) + x = 0, where 0 is the additive identity which also belongs to the set. The multiplicative identity property states that for y belonging to a set, there is a multiplicative inverse in the set, which is denoted by 1/y or y-1 such that y * (1/y) = (1/y) + y = 1, where 1 is the multiplicative identity which also belongs to the set.