To calculate the absolute value of a complex number, plot the value on the complex plane. Then use the Pythagorean Theorem to solve for the hypotenuse of the right triangle formed by plotting (a, b) and the origin (0, 0). The length of the hypotenuse is the answer.
Example 1: Find the absolute value of |7 - i|
a=7, b=-1
(a, b) = (7, -1)
Example 2: Find the absolute value of |-6 - 3i|
a=-6, b=-3
(a, b) = (-6, -3)
Example 3: Find the absolute value of |4 + 5i|
a=4, b=5
(a, b) = (4, 5)
Example 4: Find the absolute value of |-3 - 2i|
a=-3, b=-2
(a, b) = (-3, -2)