which of the following are terminating decimal numbers are
a)13/80
b)7/24
c)5/12
d)31/375
e)16/125
Answers
Answered by
1
Answer:
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
Answered by
2
Answer:
e)16/125
Explanation:
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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