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 NumbersThe imaginary number, i, is equal to
4 What does it mean?Now, you CAN simplify radicals with negative signs under the symbol! Ex Ex. 2
5 What does it mean?Complex numbers should be written in the formEx. 3
6 What else can you do?The imaginary number, i, ACTS like a variable and all properties for +,-,x,/ apply!Ex. 4Ex. 5Ex. 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