Question

Without actually performing the long division, state whether the following rational

numbers will have a terminating decimal expansion or a non-terminating repeating decimal

expansion of

23/2³5²​

Answer 1

For terminating decimal the prime factorisation of denominator should only contain the factor 2 or factor 5 or both factors 2 and 5. prime factorisation of denominator containing factors 2 & any other number or factors 5 & any other number or faciors 2,5 & any other number are non terminating decimals