# Add & Subtract Complex Numbers Worksheets

How Do You Add and Subtract Complex Numbers? In mathematics, there are a variety of different types of number systems. Whole numbers, real numbers, integers, irrational numbers, fractions, prime numbers, and complex numbers. Out of all these types, the complex numbers are what confuses a lot of students. So, what are complex numbers? Complex numbers are formed by a combination of real numbers and imaginary numbers. The numbers that have no solution in the real number system are the ones that we term as the imaginary numbers. √(-1) has no solution, and we label this as ‘iota’ denoted as 'i'. The general form of complex numbers is a + bi a is the real part of the number, and b is the imaginary part. Adding and subtracting complex numbers might seem complicated, but it really is not. Whether its addition or subtraction, you can follow these steps. Put the like terms together. Consider you have two numbers; a + bi and c + di If you have to add these, you can write it as a sum; a + bi + (c + di) Now, you need to start solving the sum by bringing the like terms together. a + c + bi + di.

• ### Basic Lesson

Demonstrates how to add and subtract everyday complex numbers. In adding or subtracting complex numbers, add or subtract the real component with the real components. Then add or subtract the imaginary components with the imaginary components.

• ### Intermediate Lesson

Explores how to solve Complex Numbers operations with two sided equations.Add the real and then the imaginary components.

• ### Independent Practice 1

You will find a nice set of twenty problems to work with here. The answers can be found below.

• ### Independent Practice 2

Features another 20 of these types of problems. Solve the problems. Express the result in a + bi form.

• ### Homework Worksheet

Add & Subtract Complex Numbers problems for students to work on at home. Example problems are provided and explained.

• ### Topic Quiz

A nice way to see how you are doing with this topic for yourself.

• ### Homework and Quiz Answer Key

Answers for the homework and quiz.

• ### Lesson and Practice Answer Key

Answers for both lessons and both practice sheets.

#### Whiz Kids?

Question: What mathematical symbol did math whiz Ferdinand von Lindemann determine to be a transcendental number in 1882?