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Subjects>Math>Basic Math

What does closed under division mean?

Updated: 4/28/2022

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∙ 11y ago

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When you will divide any element in the set by another element in the set the result will be an answer that is also included in the set.

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∙ 11y ago

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Is the set of multiples of 5 closed under division?

No.

Are rational numbers closed under subtraction?

Yes. They are closed under addition, subtraction, multiplication. The rational numbers WITHOUT ZERO are closed under division.

Is the set of rational numbers closed under division and Why?

No. Zero is a rational number, but division by zero is not defined.

Are integers closed under division?

No. Integers are not closed under division because they consist of negative and positive whole numbers. NO FRACTIONS!No.For a set to be closed under an operation, the result of the operation on any members of the set must be a member of the set.When the integer one (1) is divided by the integer four (4) the result is not an integer (1/4 = 0.25) and so not member of the set; thus integers are not closed under division.

Why do whole number require an extension?

The set of whole numbers is not closed under division (by non-zero whole numbers).

Related questions

Are rational numbers closed under division multiplication addition or subtraction?

Rational numbers are closed under addition, subtraction, multiplication. They are not closed under division, since you can't divide by zero. However, rational numbers excluding the zero are closed under division.

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

They are closed under all except that division by zero is not defined.

Are positive integers closed under division?

No, they are not.

Are rational numbers closed under division?

No.

The terminating decimals are closed under division?

no

Are real numbers closed under division?

no

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.

Is 1 a set closed under division?

yes

Is the set of multiples of 5 closed under division?

No.

What is an example of whole numbers are closed under division?

The whole numbers are not closed under division! The statement is false since, for example, 2/3 is not a whole number.

Are the set of rational numbers closed under division?

No, it is not. Division by zero (a rational) is not defined.

What set of numbers is closed under division?

Integers are closed under division I think o.o. It's either counting numbers, integers or whole numbers . I cant remember :/

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