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Q: Is Division closed in Real

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no

Yes, but only when the denominator is non-zero. Division by 0 is not defined.

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

Division, since you can't divide by zero.

It means that dividing any number in the set by any other number in the set is valid, and that the result is again a member of the set.For example, the set of real numbers is NOT closed under division - you can't divide by zero.The set of real numbers, excluding zero, IS closed under division. Similarly, the set of rational numbers excluding zero is also closed under division.

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

division

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.

No.

No, they are not.

no

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

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

yes

No.

The set of real numbers is closed under addition, subtraction, multiplication, and division (except that you cannot divide by zero). By closed, this means that if the two numbers in the operation are both real numbers, the result of the operation will always be a real number. Dividing by zero is undefined (for all practical purposes)

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

Yesss.

Yes

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

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

Division by 0, which can also be written as 0.000... (repeating) is not defined.

Gemini Division - 2008 Closed Circle 1-19 was released on: USA: 24 September 2008

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.

They are not the same!The set of integers is closed under multiplication but not under division.Multiplication is commutative, division is not.Multiplication is associative, division is not.