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Which set of numbers is closed under the operation of division?

Anonymous

∙ 14y ago

Updated: 12/20/2022

There are several; the most well-known are probably the set of rational numbers without zero, the set of real numbers without zero, and the set of complex numbers without zero.

Wiki User

∙ 14y ago

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Q: Which set of numbers is closed under the operation of division?

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The set of real numbers are NOT closed under which operation?

Division, since you can't divide by zero.

Why is division not closed for rational numbers give an example?

If a set is closed under an operation. then the answer will be a part of that set. If you add, subtract or multiply any two rational numbers you get another national number. But when it comes to division, it is closed except for one number and that is ZERO. eg 3.56 (rational number) ÷ 0 = no answer. Since no answer is not a rational number, that rational numbers are not closed under the operation of division.

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 real numbers closed under division?

no

Why is zero not closed under the operation of whole numbers?

A set can be closed or not closed, not an individual element, such as zero. Furthermore, closure depends on the operation under consideration.

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