ALGEBRA

is -.06006000600006 a rational or irrational number

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  1. I do not know of any trick to prove it rational, so suspect it is irrational.

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  2. If the number is

    -.06006000600006....

    I.e. the decimal expansion does not terminate and the number of zeroes increases by one between the sixes, then the number is irrational because the decimal expansion of a rational number must either terminate or be periodic.

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