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2 February, 20:59

Which of the following are true statements? Select all that apply.

All integers are rational numbers.

Repeating decimals are not rational numbers.

715/-14 not a rational number.

Terminating decimals are rational numbers.

0.278254 ... is a terminating decimal, therefore it is a rational number.

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  1. 2 February, 22:43
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    You are probably expected to choose ...

    • All integers are rational numbers.

    • Terminating decimals are rational numbers.

    However, the premise of ...

    • 0.278254 ... is a terminating decimal, therefore it is a rational number.

    is False, so the rules of logic allow any conclusion-meaning the implication is True. (As it happens, a repeating decimal is, in fact, a rational number.) So, this, too, is a true statement.
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