Question

Without actually performing the long division state whether the following rational

numbers will have a terminating decimal expansion or a non-terminating repeating decimal

expansion: (i) 13/3125 (ii) 17/8 (iii) 15/1600​

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

terminating means that the remainder will not repeat over time or it will not end anywhere but in non terminating repeating decimal it means that you will get a definite reminder the 33rd is terminating decimal 15 by 1600 because it is divisible by 5 and it is for the divisible and 17 by 8 is not divisible so it terminating