Question

Without actual division find which of the following rationals are terminating decimal: 13/80, 7/28, 5/12, 8/35, 16/125

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Answer 1

Answer:

For terminating decimal the prime factorization of denominator should only contain factor 2 or factor 5 or both factors 2 and 5. prime factorization of denominator containing factors 2 & any other number of factors 5 & any other number of factors 2,5 & any other number is non terminating decimals.6/125 is a terminating decimal since the prime factorization of 125 contains the factors only 5 i.e.,125=5X5X5

Answer 2

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