Number and their Classification
1)
Natural Number
2)
Whole Number
3)
Integer Number
4)
Rational number
5)
Real number
6)
Irrational number
Explanation
1)
Natural Number –
Natural number is a set of non-negative number. It is a set of positive
number. The set of natural numbers is denoted by N
N = {1, 2, 3, 4, ...}
Natural Numbers can
further be sub-divided into different types: -
I.
Even and odd Numbers
II.
Prime Numbers
III.
Relatively prime/ co-prime numbers
IV.
Composite numbers
V.
Perfect numbers
2)
Whole number –
Whole number is set of positive
number and zero. And its start from 0, 1, 2, 3, …. N .
N = {0, 1, 2, 3, 4, ...}
3)
Integer number-
Integer number is number with no fractional part. It’s include counting
number {1, 2, 3, 4, …} , zero { 0 } and negative number {-1, -2, -3 ….}
We can write them as {..., -3, -2, -1, 0, 1, 2, 3, ...}
4)
Rational number –
Rational number is fractional number
Rational number
is { 1/2, 3/5, -8/5, 0, +3, -150, ..}
5)
Real number –
Real number is combination of whole number, rational number, irrational
number. Imaginary number is not a real number.
6)
Irrational number –
An irrational number is a
number that cannot be expressed as a fraction p/q for any integers p and q.
Irrational numbers have decimal expansions
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