NUMBER SYSTEM
Types of Number ----1. Natural Number
2. Whole Number
3. Integer Number
4. Rational Number
5. Irrational Number
NATURAL NUMBER
a Number which is started from 1 is
called Natural Number.
Like- 1, 2, 3, 4, 5, 6 continue…
WHOLE NUMBER
a number which is started from 0 is called
Whole Number.( 0 + 1,2,3,4,5…….)= Whole number
Like -0,1,2,3,4,5,6,7,8,9,………
Whole Number are 4 Types – 1.Even Number
2.Odd Number
3.Prime Number
4.Composite
Number.
·
Even
Number :- a Number
which is divisible by 2 its called Even Number
Ex- 2,4,6,8,10,12,14,16……(Divisible
by 2)
·
Odd
Number :- Number
which doesn’t divided by 2 its called Odd Number.
Ex- 1,3,5,7,9,11,13…..(doesn’t
divided by 2)
·
Prime
Number :- a number
which has no factor other than 1 and itself.
Ex- 2, 3, 5,
7, 11, 13, 17, 19 (Divided by 1 or Itself)
·
Composite
Number :- a number
which has more than one factor other than 1 and the number itself.
Ex- 4 (factor 1,2,4) 1 and 4 is common but 2 also divisible so that’s composite
6 (factor 1,2,3,6) 1 and 6 common but 2,3 is
extra factor
Note- 1 is neither Prime Number nor
Composite Number.
INTEGER NUMBER
A number
that can be Positive , Negative or Zero that’s call Integer Number
Ex-
-3,-2,-1,0,1,2,3,4,5…………….
RATIONAL NUMBER
Any Number
that can be expressed in the form of P/Q, where P,Q are Integer and Q ≠ 0
Ex-
0,1,2,3,4,5,-1,-2,-3,-4,-5
IRRATIONAL NUMBER
Any Number
that cannot be expressed in the form of P/Q that’s called Irrational Number.
Ex-
1.121212. 2.252525 also Root 5, root 3,
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CBSE BOARD
Class-9 maths NCERT chapter 1, Exercise no-1.1 introduction
Type of
Real Number ?
Real Number are Two Types
1. With Decimal
2. Without
Decimal
With Decimal Number Or Point Numbers
Terminate Numbers like (1.2, 1.5, 1.1, 2.5, 8.9, 1.25, 2.46, 5.65 these all number are
ended)
Non-Terminate Numbers like (1.12121212, 2.25252525 Numbers are repeated and not ended)
Non-Terminate non-Repeating Numbers like (1.123456 , 2.321564 Numbers are not ending and
not repeating)
Terminate and No-Terminate numbers are called Rational Number.
Rational
Numbers represented as = p/q ( p & q are integers, here q value never will
be 0) q≠0
Non-Terminate and non-Repeating Number are Called Irrational Number
Root 2,
root 3 , root 5 , root 7 is Non Terminate and Non-Repeating Number
Without Decimal Number or Integers
·
.....-5, -4,
-3, -2, -1 , 0 , 1, 2, 3, 4, 5,……..
·
……, -5 ,
-4, -3, -2, -1 are Negative
Integers
·
0 called Zero Integers
·
1 , 2, 3,
4, 5 ……… are Positive
Integers Or Natural
Number
·
Positive
Integers are various type name like- Natural Numbers (Called Natural Number
because these are Counting Number)
·
Zero Number + Positive Number equal to Whole Number.
Like (0 , 1
, 2 , 3 , 4 , 5 ……These are Whole Number)
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Question
and Answer
1.
Is
Every Whole Number is Natural Number ?
-
No, Every
Whole number is not Natural Number. Because here include Zero Integers Or 0
Numbers.
Natural number is – 1 , 2, 3, 4, 5 ……
2.
Is
Every Integers Are Rational Number ?
-
Yes every
Integers are Rational Number. Because Integers number is -3 , -2, -1 , 5, 6, 7 or -3/1,
-2/1. -1/1, 5/1, 6/1, 7/1 (form of P/Q, Q≠0)
-
Note- All
Integers can be represented as Rational Number.
3.
Is
Every Rational Number are Integers ?
No, Every Rational Number is not Integers Number.
4.
0
are Rational Number ?
Yes
5.
Every
Natural Numbers are Whole Number ?
Yes
6.
Is
Every Integers are Whole Number ?
No.. Because include negative number like(-1, -2, -3)
7.
Every
Rational Number are Whole Number ?
No.
CBSE BOARD 9TH MATH.
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