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Is the set of rational numbers closed under addtion?

Updated: 12/23/2022

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Yes, it is.

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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.

Is a rational number closed under addition?

No. A number cannot be closed under addition: only a set can be closed. The set of rational numbers is closed under addition.

Are the rational numbers closed under multiplication?

Yes.

Are rational numbers closed under addition?

Yes.

Are the set of rational numbers closed under addition?

Yes, the set is closed.

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.

Is the sum of rational numbers always rational?

Yes. In general, the set of rational numbers is closed under addition, subtraction, and multiplication; and the set of rational numbers without zero is closed under division.

Are rational numbers closed under subtraction?

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

Are rational numbers closed under multiplication?

Rational numbers are closed under multiplication, because if you multiply any rational number you will get a pattern. Rational numbers also have a pattern or terminatge, which is good to keep in mind.

Are rational numbers closed under division?

No.

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

The set of rational numbers is closed under all 4 basic operations.

Is a rational number closed under addition?

No. A number cannot be closed under addition: only a set can be closed. The set of rational numbers is closed under addition.

Are the rational numbers closed under addition?

Yes.

Can rational numbers be closed under addition?

Yes, they can.

Are the rational numbers closed under multiplication?

Yes.

Are rational numbers closed under addition?

Yes.

Why are rational numbers not like integers?

The set of rational numbers is closed under division, the set of integers is not.

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