A numeral is a sign, or figure that represents a number. It is a mathematical numbering system. In other words, A numeral system is a way of writing numbers; it's a way of mathematically notating a collection of numbers by utilizing a consistent set of digits or other symbols. Purpose: This webinar by ASK aims to spread awareness about the practical use of the decimal number system in daily life to minimize errors and make calculations easier.

1. Mathematician
Faraz Ahmed
BS (Mathematics)

2. Topics  Introduction of Number System
 Definition of Digit & Number
 Small History of Numbers
 Chain of Number system
 Natural Numbers
 Whole Numbers
 Integer Numbers
 ODD & Even Numbers
 Prime & Composed Numbers
 Rational & Irrational Numbers
 Real Numbers
2

3. Number System
3

4. Digits are the single symbols used to represent numbers in
math. For example, we have a number 89 so here 8 & 9 are
two digits, Hence the numerals such as 0, 1, 2, 3, 4, 5, 6, 7, 8,
9, are the form of digits which are used to represent a
combination of numbers and do arithmetic operations in us
day to day life.
What is Number?
A Number is Arithmetic value used for representing the
quantity and used in making calculations. Also, a number is a
mathematical concept used to count, measure and label.
Thus, number from the basis of mathematics.
What is digit?
4

5. History of
Numbers
5

6. COMPLEX NUMBER
Real
Numbers
Irrational
Numbers
Natural
Numbers
Whole
Numbers
Integers
Numbers
Rational
Numbers
6

7. Natural
Number
 The natural number are defined as the
counting numbers;
 Positive integers beginning with the 1
and increasing by 1 forever
 0 is not a natural number
7

8. The whole number are exact number like 0,1,2,3,4…
They are a set of positive integers along with 0 and
exclude fraction and decimal number
Whole Numbers
Integer Numbers
An Integer number is a whole from the set of negative,
non-negative, positive and 0 number.
 Negative : -1,-2,-3,-4,-5…..
 Zero : 0
 Positive : 1,2,3,4,5,6,7,8,9……
8

9. A whole number that is not able to be divided by two into
two equal whole numbers the numbers 1, 3, 5, and 7 are
odd numbers
Odd Numbers
Even Numbers
A whole number that is able to be divided by two into two
equal whole numbers the numbers 0, 2, 4, 6, and 8 are
even numbers.
9

10. A prime number is a whole number greater than 1 whose
only factors are 1 and itself. A factor is a whole number that
can be divided evenly into another number. The first few
prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29.
Prime Number:
Composite Number:
A composite number is a positive integer. which is not
prime (i.e., which has factors other than 1 and itself). The
first few composite numbers (sometimes called
"composites" for short) are 4, 6, 8, 9, 10, 12, 14, 15, 16, ...
10

11. Any number that can be written as a ratio (or fraction) of
two integers is a rational number.
Example:3/4,7/8,1/5…..
 Rational Numbers:
Irrational Number:
An irrational number is a type of real number which cannot be represented as a
simple fraction. It cannot be expressed in the form of a ratio. If N is irrational, then N
is not equal to p/q where p and q are integers and q is not equal to 0.
Example: √2, √3, √5, √11, √21, π(Pi) are all irrational.
11

12. In Rational and irrational Numbers when we solve them we get answer
in decimal form then how we Know which is Rational and which is
irrational so Their are 3 types of decimal
Main Contents
Terminating and
recurring decimals
Nonterminating
recurring decimal
Nonterminating
nonrecurring decimal
12

13. Real Numbers
If the digits after the decimal
point end, the number has a
terminating decimal
expansion.
Example: 0.25, 1.5, 2.4…
Terminating And
Recurring Decimals
A non-terminating but
recurring decimal is defined
as a decimal that never
ends but repeats one or
more numbers after the
decimal point.
Example : 0. 5555......,
0.171717......,
0.15222222... a
Non-Terminating
Recurring Decimal
A non-terminating, non-
repeating decimal is a
decimal number that
continues endlessly, with no
group of digits repeating
endlessly.
Example: π = 3.141 592 653
589 793 238 462 643……,
e = 2.718 281 828 459 045
235 360 287 471 352 ...
Non-Terminating Non-
Recurring Decimal
Rational Number Rational Number Irrational Number
13

14. Real
Numbers
Rational Number
Irrational Number
Real numbers are numbers
that include both rational and
irrational numbers. Rational
numbers such as integers (-2,
0, 1), fractions(1/2, 2.5) and
irrational numbers such as
√3, π(22/7), etc., are all real
numbers.
14

15. Any Question