Adding Complex Numbers

This lesson covers how to add complex numbers by combining like terms. It begins with a review of combining like terms using binomials and addresses common misunderstandings, such as not keeping signs with terms. The lesson then explains how to add complex numbers by separating real and imaginary parts, providing examples and exploring special cases where the sum results in a real or pure imaginary number. Finally, it demonstrates adding more than two complex numbers.

How do you determine if two terms are like terms when adding complex numbers?

What is the significance of keeping track of signs when combining like terms?

Explain how to combine like terms when adding negative 3x, 2x, 4, and -6x.

What is the first step in adding the complex numbers 2 + 3i and -6 - i?

What is the final result when adding the complex numbers 8 + 2i and 11i?

Can the sum of two complex numbers be a real number? Provide an example.

Describe the process of adding three complex numbers together.