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Is set of integers closed under multiplication?

Updated: 9/11/2022
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9y ago

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Yes!

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Loraine Durgan

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Q: Is set of integers closed under multiplication?
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Related questions

Is the set of integers closed under multiplication?

Yes!


Is set of integers is a field?

The set of integers is not closed under multiplication and so is not a field.


Is the set of even integers closed under multiplication?

Yes


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 the set of all integers closed under the operation of multiplication?

Yes.


Is the set of even integers closed under addition and multiplication?

Yes.


Is the set of negative integers closed under multiplication real numbers?

No, it is not.


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.


What does it mean if an integer is closed?

You don't say that "an integer is closed". It is the SET of integers which is closed UNDER A SPECIFIC OPERATION. For example, the SET of integers is closed under the operations of addition and multiplication. That means that an addition of two members of the set (two integers in this case) will again give you a member of the set (an integer in this case).


Which set is closed under the given operation 1 integers under division 2 negative integers under subtraction 3 odd integers under multiplication?

1 No. 2 No. 3 Yes.


What property links multiplication and addition?

The set of integers is closed with respect to multiplication and with respect to addition.


Is the set of all even integers closed with respect to multiplication?

Yes, it is.