Question

without doing long division process ,state whether the decimal expansions of the following rational are terminating or non-terminating recurring :13/3125​ (a) 17/8 (b) 64/455 (c) 15/1600 (d) 29/34​

Answer 1

Answer:

without doing long division process ,state whether the decimal expansions of the following rational are terminating or non-terminating recurring :13/312

- (b) 64/455

Step-by-step explanation:

Since, the denominator has only 5 as its factor, 13/3125 has a terminating decimal expansion. Since, the denominator has only 2 as its factor, 17/8 has a terminating decimal expansion. Since, the denominator is not in the form of 2m × 5n, Thus 64/455 has a non-terminating decimal expansion.

Answer 2

Answer:

Since, the denominator has only 5 as its factor, 13/3125 has a terminating decimal expansion. Since, the denominator has only 2 as its factor, 17/8 has a terminating decimal expansion. Since, the denominator is not in the form of 2m × 5n, Thus 64/455 has a non-terminating decimal expansion.

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