Real number system

REAL NUMBER SYSTEM

In real life, we use Hindu Arabic numerals – a system which consists of the symbols 0 to 9. This system of reading and writing numerals is called, “Base ten system” or “Decimal number system”.

Natural numbers:

Counting numbers are called natural numbers. These numbers start with smallest number 1 and go on without end. The set of all natural number is denoted by the symbol ‘N’.

N={1,2,3,4,5,…..} is the set of all natural numbers.

Whole Numbers:

Natural numbers together with zero(0) are called whole numbers. These numbers start with smallest number 0 and go on without end. The set of all whole numbers is denoted by the symbol ‘W’.

W={0,1,2,3,4,5,……} is the set of all whole numbers.

Integers:

The whole numbers and negative numbers together are called integers. The set of all integers is denoted by Z.

Z={……-2,-1,0,1,2,……} is the set of all integers.

Rational Numbers:

A rational number is defined as a number that can be expressed in the form , where p and q are integers and q≠0. Here p is the numerator and q is the denominator.