5-6 Complex Numbers Algebra 2 Prentice Hall, 2007.

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Presentation transcript:

5-6 Complex Numbers Algebra 2 Prentice Hall, 2007

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.

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

What does it mean? Now, you CAN simplify radicals with negative signs under the symbol!  Ex. 1 Ex. 2

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

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

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

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

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