NUMBER SYSTEM

By

RAM SIR

NATURAL NUMBER

​

प्राकृतिक संख्या  

​

N = {1, 2, 3, 4,......}

WHOLE NUMBER

पूर्ण संख्या

Numbers from 0 (zero)

onward are known

as Whole numbers,

denoted by ‘W’

W = {0, 1, 2, 3, 4, ......}

INTEGER

पूर्णांक संख्या

  The collection of all whole numbers and

negative of natural numbers are called

Integers, Denoted by ‘Z’ or ‘I’.  

​

Z or I = {...... –3, –2, –1,0,1,2,3 ......}

RATIONAL NUMBER

परिमेय संख्या

 A number which can be

expressed as  where q ≠ 0

and q εZ is know as rational number, denoted by ‘Q’.

IRRATIONAL NUMBER

अपरिमेय संख्या

A number which can’t be

expressed in the form of p/q and

its decimal representation is

non-terminating and non-repeating

is known as irrational number.

The numbers which are not rational numbers, are called irrational numbers.

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REAL NUMBER

वास्तविक संख्या

Real numbers can be defined as the union of both the

rational and irrational numbers. They can be both

positive or negative and are denoted by the

symbol “R”. All the natural numbers, decimals,

and fractions come under this category..

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NUMBER CHART IN DIFFERENT LANGUAGE

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