Question

Without actual division decide which of following rational numbers have terminating decimal

representation:- 12/35​

Answer 1

Answer:

The denominator of the fraction contains factors of 2 and 5. Since the denominator of given fraction has only factors of 2 and factors of 5, i.e. denominator is of the form (2m×5n), thus, the given fraction have terminating decimal representation. Hence, only (vi) fractions have terminating decimal representation.

Answer 2

The denominator of the fraction contains factors of 2 and 5. Since the denominator of given fraction has only factors of 2 and factors of 5, i.e. denominator is of the form (2m×5n), thus, the given fraction have terminating decimal representation. Hence, only (vi) fractions have terminating decimal representation.