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Q: Do sets of rational numbers have an additive identity?

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It is an integer, a rational, a real, a complex number. It is the additive identity for all of the above sets.

They may be called integers, rational numbers, real numbers. In any one of these sets they are additive inverses.

It is the additive identity of most sets of "ordinary" numbers. Division by zero is not defined.

It is the additive identity.

Zero is an integer which belongs to the sets of rational, real and complex numbers. It is the additive identity which means that, for any other number n, n + 0 = n = 0 + n. There is no such thing as a constituent on zero.

Yes. The additive identity is always commutative - even in sets with binary operations that are not otherwise commutative.

Rational numbers

The real numbers.

Both are part of the real numbers; both are infinite sets. (However, there are more irrational than rational numbers.)Both are part of the real numbers; both are infinite sets. (However, there are more irrational than rational numbers.)Both are part of the real numbers; both are infinite sets. (However, there are more irrational than rational numbers.)Both are part of the real numbers; both are infinite sets. (However, there are more irrational than rational numbers.)

the answer is -1

No. The intersection of the two sets is null. Irrational numbers are defined as real numbers that are NOT rational.

The real numbers.

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