if p/q is a rational number, then the prime factorisation of q is a form of
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Here's the answer. ' Real Numbers' in your NCERT textbook. Thereafter, it's quite simple. Since, a rational number 'x', expressed as p/q, where the prime factorisation of q is of the form 2^n5^m, is having a terminating decimal expansion
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If q is not of the form 2
n
∗5
m
then definitely q can take any of the values 3,6,9,12,15,...etc.
As we know 4/3,20/6 all are non-terminating, thus required decimal expansion is non terminating.
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