This document defines and explains different types of real numbers including natural numbers, whole numbers, integers, rational numbers, irrational numbers, terminating decimals, and repeating decimals. It also discusses how to represent the square roots of 2, 3, and 4 on a number line and defines the value of the square root of 5 through successive magnification.

1. REAL NUMBERS
By MUKUNDA PRIYA

2. You will learn to find the distance between two points on a
number line.
1) REAL NUMBERS
2) NATURAL NUMBERS
3) WHOLE NUMBERS
4) INTEGERS
5) RATIONAL NUMBERS
6) IRRATIONAL NUMBERS
7) TERMINATING DECIMAL
8) REPEATING DECIMAL
9) REPRESENTING ROOT(2,3 & 4)
10) VALUE OF ROOT 5
11) SUCCESSIVE MAGNIFICATION

8. Whole Number
The numbers {0, 1, 2, 3, ...} etc.
There is no fractional or decimal part.
And no negatives.
Example: 5, 49 and 980 are all whole
numbers.

16. Finding √2,√3 and√4 on the number line
An animated geometric construction

17. 2
a2+b2=c2
12+12=1+1=2
So Hypotenuse
= √2
414.12 
This line is 1
unit long

18. 2
a2+b2=c2
(√2)2+12=2+1=3
So Hypotenuse = √3
3
732.13 

19. 2
a2+b2=c2
(√3)2+12=3+1=4
So Hypotenuse = √4
4
3 24 

20. Value of root 5

21. successive magnification