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 Mathematics Formulae
 Rational Numbers Rational Numbers: A rational number is a number which can be expressed in the form of p/q where p and q are and is not zero. It is denoted by Q. Properties Law for Addition: a) Commutative Law for addition: A + b = b + a where a, b ε Q b) Associative Law for addition:                                     (a + b)+ c = a + (b + c)  where a, b, c ε Q c) Additive Identity: The rational number 0 is such that                                     a + 0 = 0 + a = a where a ε Q d) Additive inverse:             To each a ε Q, there is a number - a ε Q i.e.                                      a + (-a) = (-a) + a = 0 e) Commutative Law for Multiplication:                                     a . b = b . a  where a, b ε Q f) Associative Law for Multiplication:                                     (a . b) . c = a . (b . c)  where  a, b c ε Q g) Multiplicative identity:             The rational number 1 (unity), is such that                                     1 . a = a . 1 = a  where  a ε Q h) Multiplicative Inverse:             To every non-zero a ε Q. there corresponds a rational numbers such that i) Distributive Law:             For a, b, c, ε Q             a .(b + c) = a . b + a . c and             (a + b). c = a . c + b . c  All Rights Reserved. eformulae 2005.