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Q: Are whole numbers closed under the operations of addition?

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Yes. The empty set is closed under the two operations.

The set of rational numbers is closed under all 4 basic operations.

The set of even numbers is closed under addition, the set of odd numbers is not.

The numbers are not closed under addition because whole numbers, even integers, and natural numbers are closed.

Quite simply, they are closed under addition. No "when".

No. A number cannot be closed under addition: only a set can be closed. The set of rational numbers is closed under addition.

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Yes. The set of real numbers is closed under addition, subtraction, multiplication. The set of real numbers without zero is closed under division.

yes because real numbers are any number ever made and they can be closed under addition

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