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There is not enough information in the question to answer the question. It depends on what happens in the ellipsis. If the number of fours keeps increasing forever then it is not a rational number, but if it settles at three 4s, or goes one 4, two 4s, three 4s (and maybe four 4s, five 4s) and then back to one 4 then it is.
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Earn +20 ptsQ: Is 2.434434443... a rational number
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Is the product of a rational number and a rational number a rational number?
yes
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Yes.
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Which number can be multiplied to a rational number to explain that the product of two rational numbers is rational?
It must be a generalised rational number. Otherwise, if you select a rational number to multiply, then you will only prove it for that number.
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