
1-1
L e a rnin g Obje c t i v es
After reading this chapter, you will be conversant with:
♦ The Real Number System
♦ Basic Properties of Integers
♦ System of Rational Numbers
♦ Basic Properties of Rational Numbers
♦ Incompleteness of Rational Numbers
♦ Basic Properties of Real Numbers
♦ Intervals
Introduction
The Real Number System was invented to perform computations using physical quantities such as
length, time, temperature, etc. Hence, it is indispensable for most of the practical applications of
mathematics.
1.1 THE REAL NUMBER SYSTEM
Most of the mathematics that is taught in high school and college is based on Real Numbers. Besides
being ...