Statement: The sum of a rational number and an even integer is rational. Is this always, sometimes, usually, or never true?

Question

Statement: The sum of a rational number and an even integer is rational.

Is this always, sometimes, usually, or never true?

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Sophia 3 weeks 2021-09-27T11:24:38+00:00 1 Answer 0

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    2021-09-27T11:25:39+00:00

    Answer:

    Always true.

    Step-by-step explanation:

    Suppose the rational number was p/q and the even number was 2n where p, q and n are integers.

    p/q + 2n

    = (p + 2nq) / q  which is rational.

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45:7+7-4:2-5:5*4+35:2 =? ( )