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Earn +20 ptsQ: Does the set of real numbers have an additive inverse?
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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.
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 inverse?
No. It has a different additive inverses for each element.
Is the set of rational numbers contains the additive inverse of each of its members?
Yes.
What are operations undo each other or the additive inverse?
Inverse operations. Additive inverse is not one operation but they are elements of a set.
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