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Learning Objectives At the course of this chapter, you will be able to: To gain the knowledge of various types of 1-2. learn properties and identities of logarithm numbers viz. natural numbers, whole num- 1-3. Convert logarithmic equations to exp: onential bers, prime numbers,etc. which constitutes equations and solve them the Real number system SECTION AP BASIG MANE M ATIC) Natural Numbers are called Natural Numbers. The set of natural numbers js denoted by V. Thus, N= (1,2,3,4 ..}. Nis also denoted by /* or Z*. The counting numbers 1, 2,3, 4 --- Whole Numbers Natural numbers including zero are called whole numbers. The set of whole numbers, is denoted by โ. Thus, W= {0, 1,2...}. Wis also called set of non-negative integers. Integers The numbers ..-, -3, โ25โ!, 0, 1, 25 3... are called integers and the set is denoted by J or Z. Thus, / (or Z) = {...73, โ2,-1,0, 1,2, 3...}. ; . Set of positive integers, denoted by /*, and consists of (1,2, 3-0} ; 2. Set of negative integers, denoted by /~, and consists of {oe 3,72, โ1 }- 3. Set of non-negative integers {0, 1, 2, 3...}- 4, Set of non-positive integers {..., 3, ~2, 1,0}. = Even Integers Integers which are divisible by 2 are called even integers. eg,.,0,ยฃ2,+4... Odd Integers Integers which are not divisible by 2 are called odd integers. eg, 1,+3..- Prime Number Let โpโ be a natural number, โpโ is said to be prime if it has exactly two distinct factors, namely | and itsclf. E.z., 2,3, 5, 7, 11, 13, 17, 19, 23, 29, 31... 1. โ1? is neither prime nor composite. 2, โ2 is the only even prime number. Se Composite Number Let โaโ be a natural number โaโ is said to be composite if it has at feast three distinct factors. 
