208x Filetype PPTX File size 2.67 MB Source: davberhampur.edu.in
INTRODUCTION A number system defines a set of values used to represent a quantity. We talk about the number of people attending functions, numbers of modules taken per student etc. It is all about quantifying items and values in a relation which helps to make sense of our environment.The study of numbers is not only related to computers. A number is a mathematical object used in counting and measuring. The definition of number has been extended over the years to include such numbers as zero, negative numbers, rational and irrational numbers and complex numbers. CLASSIFICATION OF NUMBERS NUMBERS REAL NUMBERS IMAGINARY NUMBERS IRRATIONAL RATIONAL NUMBERS NUMBERS FRACTIONS INTEGERS NEGATIVE POSITIVE NUMBERS NUMBERS (WHOLE NUMBERS) ZERO NATURAL NUMBERS TYPES OF NUMBERS 1. ODD NUMBERS :- A number which is not divisible by 2. EXAMPLE:- 1,3,5,7,9…….etc. 2. EVEN NUMBERS :- A number which is divisible by 2. EXAMPLE:- 2,4,6,8,10…….etc. 3. PRIME NUMBERS :- Natural numbers which are divisible by one and the number itself. EXAMPLE:- 2,3,5,7,11…….etc. 4. COMPOSITE NUMBERS :- The number which are not prime are composite numbers. EXAMPLE:- 4,6,8,10,12…….etc. 5. TWIN PRIME :- A twin prime is a prime number that is either 2 less or 2 more than another prime number. EXAMPLE:- pair (41,43), (3,5), (5,7)…….etc. 6. PRIME TRIPLET :- Set must have the form (p,p+2,p+6) or (p,p+4,p+6) EXAMPLE:- (5,7,11),(7,11,13)…….etc. except (2,3,5), (3,5,7) 7. REAL NUMBERS :- The complete set of rational and irrational numbers is the set of real numbers. The real number includes all of the measuring numbers. 8. RATIONAL NUMBERS :- The number which can be expressed in the form of are known as rational numbers where p and q are integers and q • When p and q have no common factor other than 1 then rational number is said to be in standard form. • There are infinitely many rational numbers between two rational numbers.
no reviews yet
Please Login to review.