The document defines different sets of numbers: 1) Natural numbers (N) are positive whole numbers starting from 1. Whole numbers (W) include 0. 2) Integers (Z/I) include all natural numbers and their negatives. 3) Rational numbers (Q) are numbers that can be represented as p/q where p and q are integers, including all natural numbers, whole numbers, and integers. 4) Irrational numbers have non-terminating, non-repeating decimals like √3. 5) Real numbers (R) include all rational and irrational numbers.

3. 1, 2, 3, 4, 5.............
Set of Natural Numbers is denoted by N

4. 0, 1, 2, 3, 4, 5.............
Set of whole numbers is denoted by W.
Note:1.Every natural number is whole number.
2.0 is only whole number which is not
natural number.

5. .....5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5...
Set of Integers is denoted by z or i.
Note:1.Every natural number is integer.
2.Every whole number is integer.

6. Numbers of the form p/q ,q≠0 where p and q are
integers
Example: 2/5, -4/3, 0 etc.
Set of rational numbers is denoted by Q.
Note:1.Every natural number , whole number and integer is
rational number.
2.Rational number has either terminating decimal representation or
non terminating recurring decimal representation .

7. Numbers which have finite number of digits after decimal are said
to have terminating decimal representation.
Example:1.345, 45 etc.
Numbers which have infinite number of digits after decimal but repeated
after some fixed interval are said to have non terminating recurring
decimal representation.
Example:1.343434..., 1.222... etc.

8. Numbers which have non terminating non
recurring decimal representation are called
irrational numbers.
Example: √3=1.732....,
∏
Note: ∏ is irrational number but 22/7 is rational number

9. Numbers which are either rational number or
irrational number are called real numbers.
Set of real numbers is denoted by r
Note:Every natural number , whole number, integer and rational
number is real number.