real numbers

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REAL NUMBERS By MUKUNDA PRIYA

Transcript of real numbers

REAL NUMBERS

By MUKUNDA PRIYA

You will learn to find the distance between two points on anumber line.

1) REAL NUMBERS2) NATURAL NUMBERS3) WHOLE NUMBERS4) INTEGERS5) RATIONAL NUMBERS6) IRRATIONAL NUMBERS7) TERMINATING DECIMAL8) REPEATING DECIMAL9) REPRESENTING ROOT(2,3 & 4)10) VALUE OF ROOT 511) SUCCESSIVE MAGNIFICATION

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.

Finding √2,√3 and√4 on the number line

An animated geometric construction

2

a2+b2=c2

12+12=1+1=2So Hypotenuse

= √2

414.12

This line is 1 unit long

2

a2+b2=c2

(√2)2+12=2+1=3So Hypotenuse = √3

3

732.13

2

a2+b2=c2

(√3)2+12=3+1=4So Hypotenuse = √4

4

3 24

Value of root 5

successive magnification