Numbers which are used to count things are known as NATURAL NUMBERS.
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
REAL NUMBERS
The numbers RATIONALS and IRRATIONALSTogether known as REAL NUMBERS
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
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
. . . . . . . .. . . . . . . .. . .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