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

Hello readersYou know what is axiom in mathematics?Generaly the question asked in interviews" what is the difference between Axiom and Theorem"?In mathematics or logical system, an initial statement that is assumed / accepted true without any contrary and used to derive other statements or to prove further theorems, is called  Axiom.In simple words, no one … Continue reading Axioms: (Algebraic Properties of real numbers)…..