Question

after how many places the decimal representation of 31/1250 will terminate​

Answer 1

Answer:

four places

Step-by-step explanation:

so as according to the theory :-

If m be any rational number whose decimal expansion is terminating in nature, then m can be expressed in form of \frac{p}{q}, where p and q are co-primes and the prime factorization of q is of the form 2^x~ 5^y, where x and y are non-negative integers.

therefore it is :-

1250 = 5 x 5 x 5 x 5 x 2 = 5^4 x 2

so explanation will be up-to four

answer will be

→0.0248

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