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5-6 Complex Numbers

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.

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5-6 Complex Numbers

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  1. 5-6 Complex Numbers Algebra 2 Prentice Hall, 2007

  2. 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.

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

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

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

  6. 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

  7. 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

  8. 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

  9. Assignment • 5-6 p. 278: mo3 (3-66); +48 (for Bonus) AND p. 293: 18, 21, 45, 50

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