Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 9.7 - 1.

Slides:



Advertisements
Similar presentations
Complex Numbers.
Advertisements

Complex Numbers Section 0.7. What if it isnt Real?? We have found the square root of a positive number like = 4, Previously when asked to find the square.
© 2010 Pearson Education, Inc. All rights reserved
Operations with Complex Numbers
Chapter 5 Section 4: Complex Numbers. VOCABULARY Not all quadratics have real- number solutions. For instance, x 2 = -1 has no real-number solutions because.
Rational Exponents, Radicals, and Complex Numbers
MTH 095 Intermediate Algebra Chapter 10 Complex Numbers and Quadratic Equations Section 10.1 Complex Numbers Copyright © 2011 by Ron Wallace, all rights.
Copyright © 2010 Pearson Education, Inc. All rights reserved Sec
Review and Examples: 7.4 – Adding, Subtracting, Multiplying Radical Expressions.
Multiplying, Dividing, and Simplifying Radicals Multiply radical expressions. 2.Divide radical expressions. 3.Use the product rule to simplify radical.
Section 5.4 Imaginary and Complex Numbers
10.7 Complex Numbers.
Lesson 1-5 The Complex Numbers. Objective: Objective: To add, subtract, multiply, and divide complex numbers.
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
5.6 Complex Numbers. Solve the following quadratic: x = 0 Is this quadratic factorable? What does its graph look like? But I thought that you could.
Equations and Inequalities
Section 7Chapter 8. 1 Copyright © 2012, 2008, 2004 Pearson Education, Inc. Objectives Complex Numbers Simplify numbers of the form where b >
Copyright © 2010 Pearson Education, Inc. All rights reserved Sec
Section 7.7 Previously, when we encountered square roots of negative numbers in solving equations, we would say “no real solution” or “not a real number”.
Copyright © 2015, 2011, 2007 Pearson Education, Inc. 1 1 Chapter 7 Rational Expressions and Equations.
5.9 C OMPLEX N UMBERS Algebra II w/ trig. I. Imaginary numbers:(it is used to write the square root of a negative number) A. B. If r is a positive real.
Copyright © 2014, 2010, 2006 Pearson Education, Inc. 1 Chapter 3 Quadratic Functions and Equations.
5.4 Complex Numbers. Let’s see… Can you find the square root of a number? A. E.D. C.B.
Copyright © 2015, 2011, 2007 Pearson Education, Inc. 1 1 Chapter 8 Rational Exponents, Radicals, and Complex Numbers.
4.6 Perform Operations With Complex Numbers. Vocabulary: Imaginary unit “i”: defined as i = √-1 : i 2 = -1 Imaginary unit is used to solve problems that.
Copyright © 2010 Pearson Education, Inc. All rights reserved Sec
Lesson 2.1, page 266 Complex Numbers Objective: To add, subtract, multiply, or divide complex numbers.
Copyright © 2014, 2010, 2007 Pearson Education, Inc. 1 1 Chapter 9 Quadratic Equations and Functions.
Complex Numbers Add and Subtract complex numbers Multiply and divide complex numbers.
Complex Numbers Write imaginary numbers using i. 2.Perform arithmetic operations with complex numbers. 3.Raise i to powers.
7.7 Complex Numbers. Imaginary Numbers Previously, when we encountered square roots of negative numbers in solving equations, we would say “no real solution”
Copyright © 2015, 2011, 2007 Pearson Education, Inc. 1 1 Chapter 8 Rational Exponents, Radicals, and Complex Numbers.
Chapter 5.9 Complex Numbers. Objectives To simplify square roots containing negative radicands. To solve quadratic equations that have pure imaginary.
OPERATIONS WITH COMPLEX NUMBERS PRE-CALCULUS. IMAGINARY AND COMPLEX NUMBERS The imaginary unit i is defined as the principle square root of -1. i =
Copyright © 2010 Pearson Education, Inc. All rights reserved Sec Radical Expressions and Graphs.
Copyright © 2015, 2011, 2007 Pearson Education, Inc. 1 1 Chapter 8 Rational Exponents, Radicals, and Complex Numbers.
3-1 © 2011 Pearson Prentice Hall. All rights reserved Chapter 8 Rational Exponents, Radicals, and Complex Numbers Active Learning Questions.
Copyright © 2015, 2011, 2007 Pearson Education, Inc. 1 1 Chapter 8 Rational Exponents, Radicals, and Complex Numbers.
5-7: COMPLEX NUMBERS Goal: Understand and use complex numbers.
Chapter 2 Section 4 Complex Numbers.
Chapter 1 Equations and Inequalities Copyright © 2014, 2010, 2007 Pearson Education, Inc Complex Numbers.
CHAPTER 4 Negative Numbers. ADDITION AND SUBTRACTION USING NEGATIVE NUMBERS A number line is very useful when you have to do additions or subtractions.
Section 8.7 Complex Numbers. Overview In previous sections, it was not possible to find the square root of a negative number using real numbers: is not.
5.9 Complex Numbers Objectives: 1.Add and Subtract complex numbers 2.Multiply and divide complex numbers.
6.6 – Complex Numbers Complex Number System: This system of numbers consists of the set of real numbers and the set of imaginary numbers. Imaginary Unit:
The Complex Number System. 1. Write each expression as a pure imaginary number. (similar to p.537 #26)
Complex Numbers. Solve the Following 1. 2x 2 = 8 2. x = 0.
Simplifying Radicals 6/3/ :02 AM Simplifying Radicals.
Roots, Radicals, and Complex Numbers
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
Complex & Imaginary Numbers
Copyright © 2006 Pearson Education, Inc
Digital Lesson Complex Numbers.
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
8.7 Complex Numbers Simplify numbers of the form where b > 0.
Imaginary Numbers.
Digital Lesson Complex Numbers.
Roots, Radicals, and Complex Numbers
3.2 Complex Numbers.
Objectives Student will learn how to define and use imaginary and complex numbers.
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
Simplifying Radicals 2/18/2019 3:50 PM Simplifying Radicals.
Roots, Radicals, and Root Functions
Roots, Radicals, and Root Functions
Section 10.7 Complex Numbers.
Digital Lesson Complex Numbers.
4.6 Exponents, Order of Operations, and Complex Fractions
Chapter 1 Introduction to Algebra: Integers
Presentation transcript:

Copyright © 2010 Pearson Education, Inc. All rights reserved Sec

Copyright © 2010 Pearson Education, Inc. All rights reserved Sec Roots, Radicals, and Root Functions Chapter 9

Copyright © 2010 Pearson Education, Inc. All rights reserved Sec Complex Numbers

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 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 Complex Numbers Simplify Numbers of the Form, Where b >0

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec Complex Numbers Simplify Numbers of the Form, where b >0

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec Complex Numbers Simplify Numbers of the Form, where b >0

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec Complex Numbers Multiplying Square Roots of Negative Numbers

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec Complex Numbers Multiplying Square Roots of Negative Numbers

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec Complex Numbers Dividing Square Roots of Negative Numbers

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec Complex Numbers Recognize Subsets of the Complex Numbers

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec Complex Numbers Recognize Subsets of the Complex Numbers Imaginary part of the number Real part of the number Examples: Pure imaginary number All written in standard form

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec Complex Numbers Adding and Subtracting Complex Numbers Adding Subtracting

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec Complex Numbers Multiplying Complex Numbers

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec Complex Numbers Multiplying Complex Numbers

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec Complex Numbers Multiplying Complex Numbers

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec Complex Numbers Dividing Complex Numbers

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec Complex Numbers Dividing Complex Numbers

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec Complex Numbers Simplifying Powers of i

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec Complex Numbers Simplifying Powers of i Examples:

Feedback: Privacy Policy Feedback
Do Not Sell My Personal Information
About project: SlidePlayer Terms of Service

© 2025 SlidePlayer.com Inc. All rights reserved.