Real Numbers
A number whose square is non-negative, is called a real number.
In fact, all rational and all irrational numbers form the collection of all real numbers.
Every real number is either rational or irrational.
Consider a Real Number
(i) If it is an integer or it has a terminating or repeating decimal
representation then it is rational.
(ii) If it has a nonterminating and nonrepeating decimal representation
then it is irrational.
The totality of rationals and irrationals forms the collection of all real numbers.