Question

State whether the following statement is True or False.

$\frac{15}{1600}$ has a terminating decimal expansion .

• A. True
• B. False

Answer 1

The correct option is A True

Given, $\frac{15}{1600}=\frac{15}{25\times 8\times 8}=\frac{15}{5^2{2}^6}$

As it's denominator is in the form of $2^m\times 5^n$ where ($n=6,m=2$).

So, the rational number $\frac{15}{1600}$ has a terminating decimal expansion.