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Which set of numbers is closed under addition?

Anonymous

∙ 12y ago

Updated: 9/19/2023

Natural (ℕ), integer (ℤ), rational (ℚ), real (ℝ) and complex (ℂ) numbers are all closed under addition.

Wiki User

∙ 12y ago

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Q: Which set of numbers is closed under addition?

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Continue Learning about Math & Arithmetic

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 set of rational numbers closed under addition?

Yes, the set is closed.

Is the set of rational numbers closed under addition?

Yes, it is.

What is the set of whole numbers closed by?

If you mean the set of non-negative integers ("whole numbers" is a bit ambiguous in this sense), it is closed under addition and multiplication. If you mean "integers", the set is closed under addition, subtraction, multiplication.

Is this set of negative numbers closed under multiplication or addition?

Yes. The empty set is closed under the two operations.

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Related Questions

What is closed and not-closed under addition?

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

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.

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 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

Is the set of rational numbers closed under addition?

Yes, it is.

What is the set of whole numbers closed by?

If you mean the set of non-negative integers ("whole numbers" is a bit ambiguous in this sense), it is closed under addition and multiplication. If you mean "integers", the set is closed under addition, subtraction, multiplication.

Is this set of negative numbers closed under multiplication or addition?

Yes. The empty set is closed under the two operations.

Is the set of odd numbers is closed under multiplication but is not under addition?

Let + (addition) be a binary operation on the set of odd numbers S. The set S is closed under + if for all a, b ϵ S, we also have a + b ϵ S. Let 3, 5 ϵ the set of odd numbers 3 + 5 = 8 (8 is not an odd number) Since 3 + 5 = 8 is not an element of the set of the odd numbers, the set of the odd numbers is not closed under addition.

What answer choice shows that the set of irrational numbers is not closed under addition?

Hennd

What set is not closed under addition?

The set of all odd numbers. 1+1=2

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