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No, since you can't divide by zero. On the other hand, the set of real numbers without zero is closed under division.

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โˆ™ 2014-08-27 03:44:20
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Q: Is Division closed in Real
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Related questions

Are real numbers closed under division?

no


Is division closed real numbers?

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


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.


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

Division, since you can't divide by zero.


What does this mean Which set of these numbers is closed under division?

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.


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

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


What operations is not closed for polynomials?

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 rational numbers closed under division?

No.


Are positive integers closed under division?

No, they are not.


The terminating decimals are closed under division?

no


Are the set of rational numbers closed under division?

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


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 are the different rules in governing operations of real numbers?

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)


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 even natural numbers closed under division?

Yesss.


Is the number one 1 closed under division?

Yes


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

No. Zero is a rational number, but division by zero 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 :/


What is the counterexample for the repeating decimals are closed under division?

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


What are the release dates for Gemini Division - 2008 Closed Circle 1-19?

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


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.


How are the rules for multiplication and division integers the same?

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.