Question

1. Without actual division, find which of the following rational numbers
are terminating decimals. (i) 13/80, (ii) 7/24, (iii) 5/12, (iv) 31/375, (v) 16/125​

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.

(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)

Step-by-step explanation:

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