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Earn +20 ptsQ: Is whole numbers are closed under division?
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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.
Why do whole numbers need an extension?
The first need arose when it was found that the set of whole numbers was not closed under division. That is, given whole numbers A and B (B non-zero), that, in general, A/B was not a whole number - but a fraction.
Is the set of whole numbers closed for division?
No, the result of a division of one whole number into another might be a whole number, but could also be a fraction.
Are the whole numbers closed under addition?
Yes.
Are whole numbers closed under the operations of addition?
Yes. When you add any whole numbers you get another whole number. That is what closed means in this context. The answer is still a whole number.
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