Integer Number

Definition of Integer Number : 

An Integer number is a number which can be written without a fractional component .

It is commonly known as " Whole number ".

For examples -

21,45,-1, -2002,76,89,----- are Integer number , while 8.67,3.6,11/2,√2, are not Integer number .

a set of integer number is written as {-3,-2,-1,0,1,2,3} or {-5,-4,-3,-2,-1,0,1,2,3,4,5} e.t.c .

In these examples we see that the set of Integer consist of zero (0) the natural numbers (1,2,3,4,-----) and their additive inverse (the negative Integer ,i.e -1,-2,-3,-4,-----) .

This is denoted by Z or I . It is countably infinite .

Types of Integer number - 

1. Positive Integer ( I^+ or Z^+):

The positive natural number or the set of Positive numbers are known as positive Integer .

{ 1,2,3,---}

2. Negative Integer (I^- or z^-) : 

The additive inverse of natural numbers are known as negative Integer .

{ ------,-3,-2,-1 }

3. Non positive Integer : 

{ -----,-4,-3,-2,-1}

4. Non Negative Integer : 

{1,2,3,4,----------}

a. Even Integer : 

{0, +2,-2,+4,-4,+6,-6,-------}

Symbol : 2n , n belong to Integer (I)

b. Odd Integer : 

{ +1,-1,+3,-3,+5,-5,+7,-7,-------}

Symbol : 2n+1 or 2n-1, where n belong to Integer (I)

Here n is positive or negative number .