# Graphing Complex Numbers Worksheets

How to Graph Complex Numbers - There are different types of number systems in mathematics. These include real numbers, whole numbers, rational/irrational numbers, integers, and complex numbers. So, what are complex numbers? The numbers that have parts in them an imaginary part and a real part are what we term as complex numbers. Any number that is written with ‘iota’ is an imaginary number, these are negative numbers in a radical. We can also graph these numbers. But how? However, graphing them on a real-number coordinate system is not possible. You need to have a complex plane to plot these numbers. It is a coordinate plane where the horizontal axis represents the real component, and the vertical axis represents the imaginary component. The ordered pairs of complex numbers are represented as (a,b) where a is the real component, b is the imaginary component. Steps: Determine the real and imaginary part. Move along the horizontal axis to show the real part of the number. Move parallel to the vertical axis to show the imaginary part of the number. Plot the point.

• ### Basic Lesson

Guides students solving equations that involve an Graphing Complex Numbers. Demonstrates answer checking. Represent the complex number graphically: 2 + 6i. In a complex number a + bi is the point (a, b),where the x-axis (real axis) with real numbers and the y-axis (imaginary axis) with imaginary numbers.

• ### Intermediate Lesson

Demonstrates how to solve more difficult problems. Add the complex number graphically: (3 + 4i)and (6 + 2i). Add the two complex numbers 3 + 4i and 6 + 2i that is 9 + 6i.

• ### Independent Practice 1

A really great activity for allowing students to understand the concept of graphing complex numbers.

• ### Independent Practice 2

Students learn how to graph complex numbers in assorted problems. The answers can be found below.

• ### Homework Worksheet

Students are provided with problems to achieve the concepts of graphing complex numbers.

• ### Skill Quiz

This tests the students ability to graph complex numbers.