An irrational number is a type of real number which cannot be represented as a simple fraction. It cannot be expressed in the form of a ratio. If N is irrational, then N is not equal to p/q where p and q are integers and q is not equal to 0.
Example: √2, √3, √5, √11, √21, π(Pi) are all irrational
Real Numbers:
Real numbers are the numbers which include both rational and irrational numbers.
Rational numbers such as integers (-2, 0, 1), fractions(1/2, 2.5) and irrational numbers such as √3, π(22/7), etc., are all real numbers.
Integers:
An integer (from the Latin integer meaning "whole") is colloquially defined as a number that can be written without a fractional component.
For example, 21, 4, 0, and −2048 are integers, while 9.75, 512, and √2 are not.
Whole number:
In mathematics, whole numbers are the basic counting numbers 0, 1, 2, 3, 4, 5, 6, … and so on. 17, 99, 267, 8107 and 999999999 are examples of whole numbers. Whole numbers include natural numbers that begin from 1 onwards.
Whole numbers include positive integers along with 0.
Natural number:
A natural number is an integer greater than 0. Natural numbers begin at 1 and increment to infinity: 1, 2, 3, 4, 5, etc. Natural numbers are also called "counting numbers" because they are used for counting.
For example, if you are timing something in seconds, you would use natural numbers (usually starting with 1).
Answers & Comments
Irrational number :
An irrational number is a type of real number which cannot be represented as a simple fraction. It cannot be expressed in the form of a ratio. If N is irrational, then N is not equal to p/q where p and q are integers and q is not equal to 0.
Real Numbers:
Real numbers are the numbers which include both rational and irrational numbers.
Integers:
An integer (from the Latin integer meaning "whole") is colloquially defined as a number that can be written without a fractional component.
Whole number:
In mathematics, whole numbers are the basic counting numbers 0, 1, 2, 3, 4, 5, 6, … and so on. 17, 99, 267, 8107 and 999999999 are examples of whole numbers. Whole numbers include natural numbers that begin from 1 onwards.
Natural number:
A natural number is an integer greater than 0. Natural numbers begin at 1 and increment to infinity: 1, 2, 3, 4, 5, etc. Natural numbers are also called "counting numbers" because they are used for counting.
Irrational Numbers :
Example : 0.5252252222...
Real Numbers :
Example :7, 0,⅔, √2 etc.
Integers :
Example : -1, -4, -3, 0,1,2 etc.
Whole Numbers :
Example : 0,1,2,3..to infinity.
Natural Numbers :
Ex : 1,2,3 to infinity.
Any number that can be expressed as fraction a/b, where a and b both are integers but b cannot be zero is known as rational numbers.
Example : 2/4,8/2 etc..