without any calculation, how we know the decimal expansion of a rational number is terminating. plz tell the answer fast i m giving exam
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If m is a rational number, which can be represented as the ratio of two integers i.e. \frac{p}{q} and the prime factorization of q takes the form 2^x~ 5^y, where x and y are non-negative integers then, then it can be said that m has a decimal expansion which is terminating.
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you can factorise the no. if factors are in the multiplication of 2 and 5 so it is terminatindg otherwise it is non terminating.
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