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Chapter 23.3
Adding and subtracting complex numbers
What You'll Learn
Identify the real and imaginary parts of complex numbers
Apply addition and subtraction operations to combine complex numbers
Group like terms by adding or subtracting real parts and imaginary parts separately
Verify results by aligning complex numbers vertically or using bracket notation
Represent complex number addition graphically using the head-to-tails rule
What You'll Practice
1
Adding two or three complex numbers with positive and negative terms
2
Subtracting complex numbers including fractions and pure imaginary numbers
3
Simplifying expressions to combine real and imaginary parts
4
Plotting complex number sums on the complex plane using vectors
Why This Matters
Adding and subtracting complex numbers is essential for advanced algebra, engineering, and physics. You'll use these operations when working with electrical circuits, signal processing, and quantum mechanics, as well as solving higher-level equations in calculus and beyond.
Before You Start — Make Sure You Can:
This Unit Includes
7 Video lessons
Practice exercises
Skills
Complex Numbers
Real Parts
Imaginary Parts
Addition
Subtraction
Graphical Representation
Algebraic Operations
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