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Complex numbers

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Intro to the imaginary numbersIntro to the imaginary numbersPowers of the imaginary unitPowers of the imaginary unitSimplifying roots of negative numbersi as the principal root of -1
Practice
Powers of the imaginary unitGet 3 of 4 questions to level up!
Simplify roots of negative numbersGet 3 of 4 questions to level up!
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Intro to complex numbersIntro to complex numbersClassifying complex numbers
Practice
Parts of complex numbersGet 3 of 4 questions to level up!
Classify complex numbersGet 3 of 4 questions to level up!
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Plotting numbers on the complex planeThe complex plane
Practice
Plot numbers on the complex planeGet 3 of 4 questions to level up!
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Adding complex numbersSubtracting complex numbers
Practice
Add & subtract complex numbersGet 3 of 4 questions to level up!
Learn
Distance & midpoint of complex numbers
Practice
Distance of complex numbersGet 3 of 4 questions to level up!
Midpoint of complex numbersGet 3 of 4 questions to level up!
Learn
Multiplying complex numbersMultiplying complex numbersComplex number operations review
Practice
Multiply complex numbers (basic)Get 3 of 4 questions to level up!
Multiply complex numbersGet 3 of 4 questions to level up!
Learn
Intro to complex number conjugatesComplex number conjugatesDividing complex numbersDividing complex numbers review
Practice
Complex number conjugatesGet 3 of 4 questions to level up!
Divide complex numbersGet 3 of 4 questions to level up!
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Complex numbers & sum of squares factorizationFactoring sum of squares
Practice
Factor polynomials: complex numbersGet 3 of 4 questions to level up!
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Absolute value of complex numbersAbsolute value & angle of complex numbersComplex number absolute value & angle review
Practice
Absolute value of complex numbersGet 3 of 4 questions to level up!
Angle of complex numbersGet 3 of 4 questions to level up!
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Polar & rectangular forms of complex numbersComplex number forms review
Practice
Learn
Dividing complex numbers: polar & exponential formVisualizing complex number multiplicationPowers of complex numbersComplex number equations: x³=1Visualizing complex number powersComplex number polar form review
Practice
Powers of complex numbersGet 3 of 4 questions to level up!

About this unit

In Algebra 2, students were introduced to the complex numbers and performed basic operations with them. In this unit, we extend this concept and perform more sophisticated operations, like dividing complex numbers. We also learn about a different way to represent complex numbers—polar form.