Question

Decide whether the given number is rational or not:

(i) 53.123456789
(ii) $31.\overline{123456789}$
(iii) 0.12012001200012...
Get reason to support your answer.

Answer 1

(i) 53.123456789 is rational because it is terminating.
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(ii) 31.123456789 is rational because it is a repeating decimal.

(iii) 0.12012001200012... is not rational because it is non-terminating and non-repeating decimal.