Question

State true or false:

$5÷8$ is a terminating decimal.

• A. True
• B. False

Answer 1

The correct option is A True

Given number is $5÷8$

It can be written as $\frac{5}{8}$

We know that, a number will have a terminating decimal expansion, if its denominator is of the form $2^m\times 5^n$.

The denominator of the given fraction is $8$, which can be written as $2^3$.

We can also write it as $2^3\times 5^0$

Since, this denominator is of the form $2^m\times 5^n$, the number will have a terminating decimal expansion.

Hence, the given statement is true.