Question

without actually performing the long division, state whether the following rational number will have a terminating decimal expansion or a non-termination decimal expansion. 46/100​

Answer 1

Answer:

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.

Answer 2

Answer:

Hence if it is terminated then denominator should be in the form of 2^nx5^m

46/100 can be written as 46/2^2 x5^2

There fore it is terminated