# Absolute Value of Complex Numbers Worksheets

How to Find the Absolute Value of Complex Numbers - The equation which possesses the absolute value of the solution is the one which can be declared as the absolute value. The answer should be a real number as it represents the distance from the number line. For example, if it is a=|7| then the distance that the digit 7 travels from the zero on the number line is called the absolute value of that number. Similarly, the absolute value of the complex numbers is also the measure of distance from zero but on a complex plane. For real numbers, we use a number line to represent the distance, however, for complex numbers, we use the different plane, i.e., complex plane or the number plane. Let us consider the example which shows how to find the absolute value of a complex number. Find the absolute value of the complex numbers 4 - 3i and 6i.
Notice that 6i = 0 + 6i.
|4−3i| = √(4)2 + (-3)2
|4−3i| = √16 + 9 = 5
|6i| = √(0)2 + (6)2
|6i| = √0 + 36 = 6
Now both values received will be drawn separately on the number plane.

• ### Basic Lesson

Guides students solving finding the absolute value of a complex value. Demonstrates locating the distance from an origin.

• ### Intermediate Lesson

Demonstrates how to solve complex absolute value problems.

• ### Independent Practice 1

A really great activity for allowing students to understand the concept of Absolute Value of Complex Numbers.

• ### Independent Practice 2

Students find the Absolute Value of Complex Numbers in assorted problems. The answers can be found below.

• ### Homework Worksheet

Students are provided with problems to achieve the concepts of Absolute Value of Complex Numbers.

• ### Skill Quiz

This tests the students ability to evaluate Absolute Value of Complex Numbers.

• ### Homework and Quiz Answer Key

Answers for the homework and quiz.