SOLUTION: Is the number 2.03003000300003... where the pattern of adding another 0 before the next 3 continues forever rational or irrational? I recognize there is a pattern so my feeling

Algebra ->  Real-numbers -> SOLUTION: Is the number 2.03003000300003... where the pattern of adding another 0 before the next 3 continues forever rational or irrational? I recognize there is a pattern so my feeling       Log On


   

Question 476717: Is the number 2.03003000300003... where the pattern of adding another 0 before the next 3 continues forever rational or irrational? I recognize there is a pattern so my feeling is that it is rational. However if it is rational I should be able to turn it into a fraction with an integer as numerator and a nonzero integer in the denominator. Am I right and is the process of converting difficult?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
It is a pattern, but it is not a repeating pattern.
No interval of digits repeats endlessly.
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Therefore the number is not rational.
Cheers,
Stan H.
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