Page 2 - Lesson Note
P. 2
In order to mark + 2 on the number line, we move 2 points to the right of zero.
Absolute Value of integers:
Absolute value describes the distance of a number on the number line
from 0 without considering which direction from zero the number lies.
The absolute value of a number is never negative.
The absolute value of an integer is the numerical value without regard
to whether the sign is negative or positive. On a number line it is the
distance between the number and zero.
Ex- The absolute values of -9 = 9; the absolute value of 5 = 5 and so on.
The symbol used to denote the absolute value is, two vertical lines (| |),
one on either side of an integer.
Therefore, if 'a' represents an integer, its absolute value is represented by
|a| and is always non-negative.
NOTE: (i) |a| = a; when 'a' is positive or zero.
(ii) |a| = -a; when 'a' is negative.