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Q: Which set of numbers is closed under addition?

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

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

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

Yes, the set is closed.

no

no it is not

Yes, it is.

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

If you mean the set of non-negative integers ("whole numbers" is a bit ambiguous in this sense), it is closed under addition and multiplication. If you mean "integers", the set is closed under addition, subtraction, multiplication.

Hennd

The set of all odd numbers. 1+1=2

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

Let + (addition) be a binary operation on the set of odd numbers S. The set S is closed under + if for all a, b ϵ S, we also have a + b ϵ S. Let 3, 5 ϵ the set of odd numbers 3 + 5 = 8 (8 is not an odd number) Since 3 + 5 = 8 is not an element of the set of the odd numbers, the set of the odd numbers is not closed under addition.

Yes. In general, the set of rational numbers is closed under addition, subtraction, and multiplication; and the set of rational numbers without zero is closed under division.

Yes. The entire set of natural numbers is closed under addition (but not subtraction). So are the even numbers (but not the odd numbers), the multiples of 3, of 4, etc.

No. The set of rational numbers is closed under addition (and multiplication).

No.

They form a closed set under addition, subtraction or multiplication.

Yes, the set of rational numbers is closed under addition.

Because adding any set of real numbers together will result in another real number.

That is correct, the set is not closed.

Yes it is.

certainly - the sum of two whole nos. is again a whole no.

The closure property of addition says that if you add together any two numbers from a set, you will get another number from the same set. If the sum is not a number in the set, then the set is not closed under addition.

Yes because being closed under an operation means that when the operation is performed on members of a set the result is also a member of the set, and when any two [members of the set of] whole numbers are added together the result of the addition is also a whole number which is, unsurprisingly, a member of the set of whole numbers.