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Earn +20 ptsQ: Does the set of rational numbers have an additive inverse?
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Is the set of rational numbers contains the additive inverse of each of its members?
Yes.
Is zero is not considered a real number?
Wrong! Not only is zero a real number, but it is the additive identity for the set of integers, rational numbers as well as real numbers.
Does the set of rational numbers have an additive identity?
Yes, it does.
Do sets of rational numbers have an additive identity?
There is only one set and it does have an additive identity.
How is the additive inverse important?
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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