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Earn +20 ptsQ: The terminating decimals are closed under division?
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Are rational numbers closed under division multiplication addition or subtraction?
Rational numbers are closed under addition, subtraction, multiplication. They are not closed under division, since you can't divide by zero. However, rational numbers excluding the zero are closed under division.
What is a counterexample to show that the repeating decimals are closed under addition false?
There cannot be a counterexample since the assertion is true. This requires you to accept the true fact that the terminating decimal 1.25, for example, is equivalent to the repeating decimal 1.25000... (or even 1.24999.... ).
Are real numbers closed under division?
no
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.
Are the set of rational numbers closed under division?
No, it is not. Division by zero (a rational) is not defined.
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