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Subjects>Math>Algebra

Is set of numbers closed under natural and subtraction?

Anonymous

∙ 9y ago

Updated: 4/28/2022

Please clarify what set you are talking about. There are several sets of numbers. Also, "closed under..." should be followed by an operation; "natural" is not an operation.

Wiki User

∙ 9y ago

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Q: Is set of numbers closed under natural and subtraction?

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Continue Learning about Algebra

Which set of numbers is closed under subtraction?

A set of real numbers is closed under subtraction when you take two real numbers and subtract , the answer is always a real number .

Is the set of real numbers closed under addition?

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

Is the set of whole numbers closed under subtraction?

It depends on your definition of whole numbers. The classic definition of whole numbers is the set of counting numbers and zero. In this case, the set of whole numbers is not closed under subtraction, because 3-6 = -3, and -3 is not a member of this set. However, if you use whole numbers as the set of all integers, then whole numbers would be closed under subtraction.

The natural numbers are closed under division?

No, the natural numbers are not closed under division. For example, 2 and 3 are natural numbers, but 2/3 is not.

Are rational numbers are closed under addition subtraction division or multiplication?

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

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