Contributed by:
OBJECTIVES:
1. Simplifying numbers of the form root -b, where b >0.
2. Recognize subsets of complex numbers.
3. Add and subtract complex numbers.
4. Multiply complex numbers.
5. Divide complex numbers.
6. Find powers of i.
1.
Copyright © 2010 Pearson Education, Inc. All rights reserved
Sec 9.7 - 1
2.
Chapter 9
Roots, Radicals, and Root
Functions
Copyright © 2010 Pearson Education, Inc. All rights reserved
Sec 9.7 - 2
3.
9.7
Complex Numbers
Copyright © 2010 Pearson Education, Inc. All rights reserved
Sec 9.7 - 3
4.
9.7 Complex Numbers
Objectives
1. Simplifying numbers of the form , where
b >0.
2. Recognize subsets of the complex numbers.
3. Add and subtract complex numbers.
4. Multiply complex numbers.
5. Divide complex numbers.
6. Find powers of i.
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 9.7 - 4
5.
9.7 Complex Numbers
Simplify Numbers of the Form , Where b >0
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 9.7 - 5
6.
9.7 Complex Numbers
Simplify Numbers of the Form , where b >0
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 9.7 - 6
7.
9.7 Complex Numbers
Simplify Numbers of the Form , where b >0
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 9.7 - 7
8.
9.7 Complex Numbers
Multiplying Square Roots of Negative Numbers
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 9.7 - 8
9.
9.7 Complex Numbers
Multiplying Square Roots of Negative Numbers
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 9.7 - 9
10.
9.7 Complex Numbers
Dividing Square Roots of Negative Numbers
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 9.7 - 10
11.
9.7 Complex Numbers
Recognize Subsets of the Complex Numbers
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 9.7 - 11
12.
9.7 Complex Numbers
Recognize Subsets of the Complex Numbers
Imaginary
Real part of part of the Pure
the number number imaginary
number
Examples: All written in standard form
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 9.7 - 12
13.
9.7 Complex Numbers
Adding and Subtracting Complex Numbers
Adding
Subtracting
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 9.7 - 13
14.
9.7 Complex Numbers
Multiplying Complex Numbers
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 9.7 - 14
15.
9.7 Complex Numbers
Multiplying Complex Numbers
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 9.7 - 15
16.
9.7 Complex Numbers
Multiplying Complex Numbers
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 9.7 - 16
17.
9.7 Complex Numbers
Dividing Complex Numbers
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 9.7 - 17
18.
9.7 Complex Numbers
Dividing Complex Numbers
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 9.7 - 18
19.
9.7 Complex Numbers
Simplifying Powers of i
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 9.7 - 19
20.
9.7 Complex Numbers
Simplifying Powers of i
Examples:
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 9.7 - 20
+1-315-636-4485
+91 98151-74050 
