The Real Number System

real number  Learn about real numbers in math, which includes both rational and irrational numbers Understand the properties and definitions of real numbers  Real numbers are composed of rational, irrational, whole, and natural numbers Negative numbers, positive numbers, and zero are all examples of integers Real

A cut for which there is no largest number in the lower class, and no smallest number in the upper class, is said to be an irrational number  We continue our discussion on real numbers in this chapter We begin with two very important properties of positive integers in Sections and , namely the

Real Numbers are continuous quantities that can represent a distance along a line, as Real numbers include both rational and irrational Definition Let r be a real number A sequence i∈N of real numbers converges to r if, for every ε>0, there is an N such that for every i≥N, ri−rε