Is 0.08008000800008... Rational?

Is 0.08008000800008... Rational?
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Rational numbers are those decimals which either terminate orend in a repeating sequence of 1 or more digits.Assuming the number continues with an extra 0 before the next 8each time then the number neither terminates nor ends in a sequenceof repeating digits, thus it is not a rational number.
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