SOLUTION: suppose a=0.505005000500005000005... continuing in this way with one more zero between each successive pair of 5's. is this number rational or irrational? explain briefly?

Algebra ->  Real-numbers -> SOLUTION: suppose a=0.505005000500005000005... continuing in this way with one more zero between each successive pair of 5's. is this number rational or irrational? explain briefly?      Log On


   



Question 172304: suppose a=0.505005000500005000005... continuing in this way with one more zero between each successive pair of 5's. is this number rational or irrational? explain briefly?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Irrational
It does not have a repeating pattern of digits.
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Cheers,
Stan H.