Question

With out actual dividision find the 7/400 is terminating or non terminating decimal.

Answer 1

7/400 is terminating because 400 has only 2 and 5 as factors.
400=2*2*2*2*5*5

Answer 2

It's given that the denominator is 400 prime factorise it if it's prime factors are 2 and 5 then it terminates.

For eg

Prime factors of 400 are 2cube and 5 square therefore it has a decimal expansion which terminates.

I hope it helped you