Short Answer Type Questions
1. Without actual division, find which of the following rationals are terminating decimals.
i) 13 upon 80
ii) 7 upon 24
iii) 5 upon 12
iv) 8 upon 35
v) 16 upon 125
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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.
16/125 is a terminating decimal since the prime factorization of 125 contains the factors only 5 i.e.,125=5 x 5 x 5
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