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What is closed and not-closed under addition?

Updated: 4/28/2022

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∙ 13y ago

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The set of even numbers is closed under addition, the set of odd numbers is not.

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Continue Learning about Other Math

Why are odd integers closed under multiplication but not under addition?

The numbers are not closed under addition because whole numbers, even integers, and natural numbers are closed.

Are real numbers closed under addition?

yes because real numbers are any number ever made and they can be closed under addition

ARe odd integers not closed under addition?

That is correct, the set is not closed.

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

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

Why the set of odd integers under addition is not a group?

Because the set is not closed under addition. If x and y are odd, then x + y is not odd.

Related questions

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.

When are complex numbers closed under addition?

Quite simply, they are closed under addition. No "when".

Why are odd integers closed under multiplication but not under addition?

The numbers are not closed under addition because whole numbers, even integers, and natural numbers are closed.

Are real numbers closed under addition?

yes because real numbers are any number ever made and they can be closed under addition

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.

ARe odd integers not closed under addition?

That is correct, the set is not closed.

Are polynomial expressions closed under subtraction?

Yes they are closed under multiplication, addition, and subtraction.

Are integers closed under addition?

yes

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 the set of rational numbers closed under addition?

Yes, the set is closed.

Is the set of odd numbers closed under addition?

no

Is the set of irrational numbers closed under addition?

no it is not

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