Question

State whether the following have terminating decimal representation or not

(a) 3/128​

Answer 1

To determine whether a decimal is terminating or not without actual division:

1) Convert the fraction in simplest form.

2) Do prime factorization of denominator.

3) If the factor is other than 2 of 5, it is a non- terminating decimal.

Factors of 128= 2×2×2×2×2×2×2

As the factors are only 2, it is a terminating decimal.

Hope it helps you.

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