Question

After how many places of decimals, the decimal expansion of the rational number will terminate?

Answer 1

Answer:

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.

Step-by-step explanation:

• thus the decimal expansion depends on the multiply of 2 x 5 as both are responsible for 10 which helps in assuming the decimal
• so if there is any other number leaving 2 and 5 as factors thus it will be non terminating number

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