A number whose decimal expansion is terminating or non-terminating recurring is called a ___ number.

Terminating decimal numbers:

The numbers which have finite numbers after the decimal point are called terminating decimal numbers.

Non-terminating recurring decimal numbers:

The numbers which continue endlessly and have repeating numbers after the decimal point are called non-terminating recurring decimal numbers.

Explanation:

A rational number can be written in the form $\frac{p}{q}$ where $p,q$ are integers and coprime and $q$≠$0.$

Consider the number$33.33333\dots \dots .$

It is a rational number as it can be represented in the form of $\frac{100}{3}.$

It is a non-terminating repeating decimal number.

Let us consider another number $0.5.$

It is a rational number as it can be represented in the form of $\frac{1}{2}.$

It is a terminating decimal number.

Hence, a number whose decimal expansion is terminating or non-terminating recurring is called a rational number.