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1 of 10
1, 2, 3, 4, 5.............
Set of Natural Numbers is denoted by N
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, -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.
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 .
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.
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
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.
Number system

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Number system

  • 1.
  • 2.
  • 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.