Clear Concept Of Number System : Chapter 4

It is composed of various numbers, symbols or figures responding numbers and certain rules governing operations on them. The numbers can be represented by {1, 2, 3…..} or {i,ii,iii,} what is of importance is the nature and characteristic of these numbers, whether they are capable of performing one or more operations of addition, multiplication, division and subtraction. It is because of this that instead of attaching any undue importance to any system, e.g., decimal, binary, a good deal of importance is being attached to the properties of the system. It wills a time be explained by symbols only. The conceptual clarity or the logic of the system is emphasized more and not more familiarity with the numbers. We initiate the number system by natural numbers and then proceed on to other system.

Structure:

• Natural Numbers (N)
• Addition on N
• Multiplication on N
• The Integers (I)
• Modulo
• Prime Numbers
• Rational Numbers (R)
• Properties of Q
• Irrational Numbers (RI)
• Real Number
• Properties of Real Number
• Modulus of Real Numbers
• Imaginary Numbers
• Complex Numbers

Objectives:
After studying this chapter you should be able to understand

• Natural numbers, integers, rational and irrational numbers, real numbers imaginary and also complex numbers
• Different properties and operations of these numbers.