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Earn +20 ptsQ: Why does every rational number have a additive inverse?
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Is a additive inverse of any rational number a negative number?
The additive inverse of EVERY positive rational number is a negative number.
Why does every rational number have an additive inverse?
It is a fundamental requirement of algebraic structures called groups.
What is the aditive inverse property?
For every number, a,there exists a number called the additive inverse, -a, such that a + -a = 0.
Does every natural number have an additive inverse?
Yes. Just put a minus sign in front of it. Note that except for the zero, the additive inverse is no longer a natural number.
Does every integer have an additive inverse?
Yes.
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