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Earn +20 ptsQ: Are rational numbers closed under multiplication?
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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.
Is the sum of rational numbers always rational?
Yes. In general, the set of rational numbers is closed under addition, subtraction, and multiplication; and the set of rational numbers without zero is closed under division.
Are composite numbers closed under multiplication?
Yes.
Is the set of rational numbers closed under division and Why?
No. Zero is a rational number, but division by zero is not defined.
Why are the rational numbers under the operation of multiplication not a group?
I believe it is because 0 does not have an inverse element.
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