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Is Division closed in Real

Updated: 9/24/2023
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9y ago

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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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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.


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.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.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.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.


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

Division, since you can't divide by zero.


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 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.


What operations is not closed for polynomials?

division


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)


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