Question

Which of the following numbes can be expressed as decimals that terminate? 5/2,4/5,2/7,4/3

Answer 1

A terminating decimal is a decimal that has an end.

`(5)/(2)=2.5`

Thus, it can be expressed as a decimal that terminates.

`(4)/(5)=0.8`

Also, it can be expressed as a decimal that terminates.

`\begin{gathered} (2)/(7)=0.28571428571\ldots\text{.} \\ \text{This is not a terminating decimal.} \\ (4)/(3)=1,333333333\ldots\text{..} \\ \text{This is not a terminating decimal.} \end{gathered}`

Hence, the fractions that can be expressed as decimal that terminates are;

`(5)/(2),(4)/(5)`