Exercises: Represent Operations Geometrically on the Complex Plane

Show your work. Use exact values where possible. For polar form, express angles in degrees.

Grade 9·22 problems·~40 min·Common Core Math - HS Number and Quantity·standard·hsn-cn-b-5

Work through problems with immediate feedback

Warm-Up: Review What You Know

Which of the following describes the modulus $|z|$ of a complex number $z = a + bi$ ?

The imaginary part $b$

The distance from $z$ to the origin: $\sqrt{a^2 + b^2}$

The real part $a$

The argument $\theta$