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5-6 Complex Numbers Algebra 2 Prentice Hall, 2007

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**Content Learning Objectives**

You will… Learn what a complex number is. Write complex numbers in a+bi form. Simplify expressions containing complex numbers. Graph complex numbers on a coordinate plane. Find the absolute value of a complex number.

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What is it? The set of Complex Numbers consists of Real and Imaginary Numbers The imaginary number, i, is equal to

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What does it mean? Now, you CAN simplify radicals with negative signs under the symbol! Ex Ex. 2

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What does it mean? Complex numbers should be written in the form Ex. 3

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What else can you do? The imaginary number, i, ACTS like a variable and all properties for +,-,x,/ apply! Ex. 4 Ex. 5 Ex. 6

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You can even graph it! The complex number plane is used to represent a complex number geometrically. Graph the Real part on the x-axis. Graph the Imaginary part on the y-axis. Ex. 7

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**What about Absolute Value?**

The absolute value of a complex number is its distance from the origin on the complex coordinate plane. Think Pythagorean Theorem… Ex. 7

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**Assignment 5-6 p. 278: mo3 (3-66); +48 (for Bonus) AND**

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5.6 – Complex Numbers.

5.6 – Complex Numbers.

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