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Earn +20 ptsQ: Are natural numbers closed under division?
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Are rational numbers closed under subtraction?
Yes. They are closed under addition, subtraction, multiplication. The rational numbers WITHOUT ZERO are closed under division.
Under which operation are natural numbers closed?
Addition.
Why do whole number require an extension?
The set of whole numbers is not closed under division (by non-zero whole numbers).
Is the set of rational numbers closed under division and Why?
No. Zero is a rational number, but division by zero is not defined.
Is natural numbers a closed set under subtraction?
No.A set is closed under subtraction if when you subtract any two numbers in the set, the answer is always a member of the set.The natural numbers are 1,2,3,4, ... If you subtract 5 from 3 the answer is -2 which is not a natural number.
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