Real number for class ix bengali medium and competitive exam like psc ,group D ,police .Number system natural number whole number integers rational number irrational numbers complex number Set of Real Numbers The set of real numbers consist of different categories, such as natural and whole numbers, rational and irrational numbers and integers. In the table given here, all these numbers are defined with examples. Category Definition Example Natural Numbers Contain all counting numbers which start from 1. N = {1,2,3,4,……} All numbers such as 1, 2, 3, 4,5,6,…..… Whole Numbers Collection of zero and natural number. W = {0,1,2,3,…..} All numbers including 0 such as 0, 1, 2, 3, 4,5,6,…..… Integers The collective result of whole numbers and negative of all natural numbers. Includes: -infinity (-∞),……..-4, -3, -2, -1, 0, 1, 2, 3, 4, ……+infinity (+∞) Rational Numbers Numbers that can be written in the form of p/q, where q≠0. Examples of rational numbers are ½, 5/4 and 12/6 etc. Irrational Numbers All the numbers which are not rational and cannot be written in the form of p/q. Irrational numbers are non-terminating and non-repeating in nature like √2