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Q: Does the set of rational numbers have an additive identityt?

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Yes, it does.

No. It has a different additive inverses for each element.

There is only one set and it does have an additive identity.

Yes.

Yes. The additive identity is 0.

I t is the number 0, which has the property that x + 0 = 0 + x = x for all rational numbers x.

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.

No, it is not.

Yes: it is 0.

The set of rational numbers includes the set of natural numbers but they are not the same. All natural numbers are rational, not all rational numbers are natural.

Yes - the set of integers is a subset of the set of rational numbers.

The Real numbers

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