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:
1)3/32
2)19/20
3)23/375
4)32/1250

Answer 1

Answer:

you can do this ques. by checking the factors of denominator

they should be 2,5 or 2 and 5

if they have such , then they would have terminating expression

Answer 2

Answer:

2)19/20

Step-by-step explanation:

Because of terminating with out dividing means at

denominator must and should be 2×5 so option 2)20 means 2^2×5^1=20