Conjugates & Absolute Value & 14

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Presentation transcript:

6. 8. 5 Conjugates & Absolute Value & 14 6.8.5 Conjugates & Absolute Value & 14.4 The Geometry of Complex Numbers Learning Goals Learn to represent the conjugate and calculate the absolute value of complex numbers Learn to plot complex numbers in the complex plane

Standard Format & Conjugate of Complex Numbers often represented by singular letters Conjugate “z bar”

Absolute Value A complex numbers distance from zero on the complex plane if Ex. Find for each complex number z.

Plotting Complex Numbers in Complex Plane Plot the following complex numbers in the complex plane. a. b. c.

Plotting Complex Numbers in Complex Plane Plot the following complex numbers in the complex plane. w = 1 - i and z = 4 + 3i w z w + z w -z

Complex Numbers in Complex Plane For EACH point on the graph….. Name the complex number. Find it’s additive inverse. Find it’s complex conjugate. Find it’s absolute value. Ex 1 Point A Ex 2 Point B A B

6.8.5 & 14.4 Concept Check For EACH point on the graph….. Name the complex number. Find it’s additive inverse. Find it’s complex conjugate. Find it’s absolute value. Ex 3 Point C Ex 4 Point D D C