Asked by andy

is -.06006000600006 a rational or irrational number

Answers

Answered by Damon
I do not know of any trick to prove it rational, so suspect it is irrational.
Answered by Count Iblis
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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