REAL NUMBERS
31
-
Upload
sariga-vinod -
Category
Education
-
view
437 -
download
1
Transcript of REAL NUMBERS
Numbers which are used to count things are known as NATURAL NUMBERS.
Eg. 1,2,3,4…………………………….
NEGETIVE NUMBERS
This type of numbers ,which having a negative sign are known as NEGATIVE NUMBERS
-1,-2,-3,-4………………………………
RATIONAL NUMBERS
NATURAL NUMBERSNEGATIVE NUMBERSZERO, FRACTIONS AND THEIR NEGATIVES collectively known as RATIONAL NUMBERS
IRRATIONAL NUMBERS
The numbers which are not rational are IRRATIONALS
Eg. √2, √3, √5, ∏…………….
IRRATIONAL NUMBERS
REAL NUMBERS
The numbers RATIONALS and IRRATIONALSTogether known as REAL NUMBERS
NUMBER LINE
LINE WHICH CONTAINS ALL REAL NUMBERS AS POINTS.
. . . . . . . .. . . . . . . .. . .0 1 2 3 4 5 6 7 8 9-3 -2-1-6 -5-4-9 -8 -7
RATIONAL NUMBERSON NUMBER LINE
. . . . . . . .. . . . . . . .. . .0 1/2 1 2 3 4-1-2-4 -3 -3/2
IRRATIONAL NUMBERSON NUMBER LINE
. . . . . . . .. . . . . . . .. . .√2 1 2 3 4 5 6 7 8 9-3 -2-1-6 -5-4-9 -8 -7
. . . . . . . .. . . . . . . .. . .1 2 3 4 5 6 7 8 9-3 -2-1-6 -5-4-9 -8 -7.∏
0
SMALL AND LARGE
LEFT AND RIGHT
WHEN WE GOES THROUGH RIGHT SIDE OF A NUMBER LINE THE VALUE
OF THE POINTS ARE INCREASES.
WHEN WE GOES THROUGH LEFT SIDE OF A NUMBER LINE THE VALUE OF THE
POINTS ARE DECREASES.
. . . . . . . .. . . . . . . .. . .0 1 2 3 4 5 6 7 8 9-3 -2-1-6 -5-4-9 -8 -7
2<x<4
. . . . . . . .. . . . . . . .. . .0 1 2 3 4 5 6 7 8 9-3 -2-1-6 -5-4-9 -8 -7
-3<x<2
DISTANCES
. . . . . . . .. . . . . . . .. . .0 1 2 3 4 5 6 7 8 9-3 -2-1-6 -5-4-9 -8 -7
2 UNITS
. . . . . . . .. . . . . . . .. . .0 1 2 3 4 5 6 7 8 9-3 -2-1-6 -5-4-9 -8 -7
2 UNITS
. . . . . . . .. . . . . . . .. . .0 1 2 3 4 5 6 7 8 9-3 -2-1-6 -5-4-9 -8 -7
6 UNITS
DISTANCESIn ALGEBRA
DISTANCE FROM ZERO TO
ANY POINT x
/x/
/x/ =X , if x>0
-X , if x<0
0 , if x=]0
DISTANCE BETWEEN ANY
TWO POINTS X and Y
/X-Y/
