unit 8 lesson 6 complex numbers...unit 8 lesson 6 complex numbers definition of the imaginary unit...

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U8 L6 Complex numbers day 1.notebook Unit 8 Lesson 6 Complex Numbers Definition of the Imaginary Unit &

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Page 1: Unit 8 Lesson 6 Complex Numbers...Unit 8 Lesson 6 Complex Numbers Definition of the Imaginary Unit & U8 L6 Complex numbers day 1.notebook Set of All Real #s Real Complex Imaginary

U8 L6 Complex numbers day 1.notebook

Unit 8 Lesson 6 

Complex Numbers

Definition of the Imaginary Unit

  &

Page 2: Unit 8 Lesson 6 Complex Numbers...Unit 8 Lesson 6 Complex Numbers Definition of the Imaginary Unit & U8 L6 Complex numbers day 1.notebook Set of All Real #s Real Complex Imaginary

U8 L6 Complex numbers day 1.notebook

Set of All Real #s

Real ImaginaryComplex,10,  ‐8,

For any real number b, 

To simplify, 1st write negative radicals in terms of i

1.  2. 3. 4.example √36   √­16 i=6i

Page 3: Unit 8 Lesson 6 Complex Numbers...Unit 8 Lesson 6 Complex Numbers Definition of the Imaginary Unit & U8 L6 Complex numbers day 1.notebook Set of All Real #s Real Complex Imaginary

U8 L6 Complex numbers day 1.notebook

c)

1st­Write negative radicals in terms of i.2nd­Use the product rule to multiply.

1st­Write negative radicals in terms of i.2nd­Divide coefficients and radicals

c) 

Page 4: Unit 8 Lesson 6 Complex Numbers...Unit 8 Lesson 6 Complex Numbers Definition of the Imaginary Unit & U8 L6 Complex numbers day 1.notebook Set of All Real #s Real Complex Imaginary

U8 L6 Complex numbers day 1.notebook

A complex number is a combo of real and imaginary #'s and will be written in the form  a + bi, where a and b are real numbers and i is the imaginary unit. 

examples: a) 5+2i b) -4 - 2i c) 6i

Page 5: Unit 8 Lesson 6 Complex Numbers...Unit 8 Lesson 6 Complex Numbers Definition of the Imaginary Unit & U8 L6 Complex numbers day 1.notebook Set of All Real #s Real Complex Imaginary

U8 L6 Complex numbers day 1.notebook

Subtract the real part, subtract the imaginary part.

Can you find the i button on your calculator??

WITHOUT CALCULATOR!

d) (4+3i)2

e) (5+2i)(5­2i) f)  (­2i)(7i)

Page 6: Unit 8 Lesson 6 Complex Numbers...Unit 8 Lesson 6 Complex Numbers Definition of the Imaginary Unit & U8 L6 Complex numbers day 1.notebook Set of All Real #s Real Complex Imaginary

U8 L6 Complex numbers day 1.notebook

Homework

U8 L6 Worksheet