The collection of real numbers is the collection of all the rational numbers and irrational numbers together . It is represented by R.
A real number is either rational or irrational.
A rational number p/q, where p and q are integers and q#0 can be expressed as its decimal expansion.
In case of division:
The decimal expansion of a rational number is either terminating or non-terminating recurring.
The decimal expansion of an irrational number is non-terminating non-recurring.