Question

Without actually performing the long division state whether is a 15/1600 terminating or a non-terminating repeating decimal expansion.​

Answer 1

Answer:

Factorize the denominator we get 1600=2×2×2×2×2×2×5×5=2

6

×5

2

so denominator is in form of 2

n

×5

m

Hence

1600

15

is terminating.

Answer 2

Step-by-step explanation:

Hence, the decimal expansion of 151600 is terminating. Since the denominator is not in the form 2m×5n, 2 m × 5 n , and it has 7 as its factor, the decimal expansion of 29343 is non-terminating repeating.