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Because if X and Y are any two whole number, then X*Y is also a whole number. Always.

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Q: Why are whole numbers closed under multiplication?
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Related questions

Is the set of whole numbers are closed under multiplication?

If you can never, by multiplying two whole numbers, get anything but another whole number back as your answer, then, YES, the set of whole numbers must be closed under multiplication.


Is the set of whole numbers closed under multiplication?

Yes.


Are whole numbers closed under the operations of multiplication?

Yes.


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.


What operation are whole numbers closed under?

l think multiplication


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.


Are whole numbers closed for multiplication?

no


What is always true about whole numbers?

They form a closed set under addition, subtraction or multiplication.


Is the set of even whole numbers closed under multiplication?

Yes, it is closed. This means that if you multiply two even number, you again get a number within the set of even numbers.


Are whole numbers closed with respect to multiplication?

Yes. That means that the product of two whole numbers is defined, and that it is again a whole number.


Is the set of whole numbers with 31 removed closed under the operation of multiplication?

No. Since -1 x -31 (= 31) would not be in the set.


What is an example of whole numbers are closed under division?

The whole numbers are not closed under division! The statement is false since, for example, 2/3 is not a whole number.