Question

Without long division,state whether 15/600 Will have the terminating or non terminating repeating decimal expansion

Answer 1

Answer:

Prime factorise of 600=2³×5²×2

Prime factorise of 15= 5×3

fraction:-

5×3/2³×5²×2

3 is cancelled from both the numerator and denominator.

We get

5/2³×5²

Since the denominator is in the form 2³×5³, therefore it is terminating number