Consider a real number in two dimensional plane that X axis and Y axis having ordered pair : P(x,y) or (3,4).
To find it's absolute value we will find it's Distance from origin.
As Coordinate of Origin = (0,0)
Absolute Value of OP =
=
If the point is Q(3,4)
In case of a complex number :
Z = a + bi , we consider two axes Real Axis and Imaginary Axis.
We represent Z that is (a,b) in the same way that we represent point in two dimensional plane.
To find it's absolute value , we will find it's distance from origin.
If = 6 + 8 i