A real number is rational iff its decimal representation is either terminating or re occuring. While a real number is called irrational if it is not a rational or its decimal representation is neither terminating non recurring. Mathematically, a real number x s.t. x=p/q (q is non zero and gcd(p,q)=1), and p,q both are integers,is … Continue reading Order Axioms: Rational Number Vs Irrational number