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The natural numbers are closed under division?

Anonymous

∙ 15y ago

Updated: 4/28/2022

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

Wiki User

∙ 15y ago

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Continue Learning about Algebra

Is Natural numbers are closed under multiplication?

Yes.natural numbers are closed under multiplication.It means when the operation is done with natural numbers in multiplication the sum of two numbers is always the natural 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.

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

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

Is set of numbers closed under natural and subtraction?

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.

What are irrational numbers closed under?

Irrational numbers are not closed under any of the fundamental operations. You can always find cases where you add two irrational numbers (for example), and get a rational result. On the other hand, the set of real numbers (which includes both rational and irrational numbers) is closed under addition, subtraction, and multiplication - and if you exclude the zero, under division.

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