Question

without actually performing the long division state weather the following rational number will have a terminating decimal expansion or a non terminating repeating decimal expansion :


( 1 ) 15 / 1600

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Answer 1

Answer:

(iv) 15/ 1600

Factorizing the denominator, we get,

1600 = 2652

Since, the denominator is in the form of 2m × 5n

Thus 15/1600 has a terminating decimal expansion.

Answer 2

Hence, 23/ (2352) has a terminating decimal expansion. As you can see, the denominator is not in the form of 2m × 5n. Hence, 129/ (225775) has a non-terminating decimal expansion. Thus, 6/15 has a terminating decimal expansion. no is terminating if