Question

without long division , state whether 15/1600
will have the terminating
or non- terminating repeating decimal expansion
​

Answer 1

Answer:

It is a terminating decimal because the denominator of the given fraction is in the form of 2^m×5^n

Answer 2

Step-by-step explanation:

We know that , if the denominator of rational number p/q is expressible in the form 2^m×5^n,

then , the rational number has terminating decimal expansion.

The denominator of 15/1600 can be written as follows

1600=5^2×2^6

Since the above condition is fulfilled,

15/1600 is a rational number