Rational Numbers Introduction of Rational numbers A number r is called a rational number, if it can be written in the form p⁄q, where p and q are integers and q≠0. i.e. 0.3796, 4.1333...,4⁄5 etc. Properties of rational numbers (1)Closure (2)Commutativity (3)Associativity (4)Additiveidentity (5) Multiplicative identity (6) Additive inverse (7) Multiplicative inverse or Reciprocal (8) Distributivity Closure property consists numbers Closure property consists three numbers following below : (i) Whole numbers : In whole numbers there have four operation consists for closure property :- a. Addition In addition opertaion, 0 + 3 = 3, 4 + 5 = 9, is a whole number, so we can say that whole numbers are closed in under addition. i.e., a + b b. Subtraction In Subtraction opertaion, 4 - 3 = 1 is a whole number, but 4 - 5 = -1, is not a whole number, so we can say that whole numbers are not closed in under Subtraction. i.e., a - b c. Multiplication I...