REAL NUMBERS
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REAL NUMBERS

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.


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