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Question
Classify the following number as rational or irrational with justification:
1.010010001...
Solution
The given number is irrational number.
Justification: Since 1.010010001 is non-terminating non-recurring decimal number, therefore it cannot be written in the form `p/q; q ≠ 0, p, q` both are integers.
Thus, 1.010010001 is irrational.
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