1.6 Perform Operations with Complex Numbers p. 41 What is an imaginary number? How is it defined? What is a complex number? How is it graphed? How do you add, subtract, multiply and divide complex numbers? What is a complex conjugate? When do you use it? How do you find the absolute value of a complex number?

She used her imagination to write the story. His imagination helped him with the role in the play. He was able to draw the picture of the house he wanted to build using his imagination. She had a tea party with her imaginary friends. Define imagination. Define imaginary. What is the difference?

Solve: x 2 = 1 x 2 = -1

Define the word: complex He gave a complex explanation. It was a complex math problem. He turned a simple solution into a complex solution.

Imaginary Unit Definition i = √−1 and i 2 = −1

Complex number A complex number is made up of a real number and an imaginary number. Standard form for a complex number is: a + bi a is the real part and bi is the imaginary part. If a = 0 and b ≠ 0, then a + bi is a pure imaginary number (0 + bi).

Adding and Subtracting Complex Numbers (4 – i) + (3 + 2i) (7 – 5i) – (1 – 5i) 6 – (−2 + 9i) + (−8 + 4i)

Multiplying Complex Numbers 5i(−2 + i) (7 – 4i)(−1 + 2i) (6 + 3i)(6 – 3i)

Write the quotient in standard form i 1− 2i Dividing Complex Numbers

Finding Absolute Values of Complex Numbers a)3 + 4i 1.Use the numbers in the complex number Square the numbers Take the square root √

Plotting Complex Numbers a)2 – 3i b) i c) 4i

Finding Absolute Values of Complex Numbers

What is an imaginary number? How is it defined? What is a complex number? How is it graphed? How do you add, subtract, multiply and divide complex numbers? What is a complex conjugate? When do you use it? How do you find the absolute value of a complex number?

p. 45, 3-47 odd Skip 11,19,33,41 (last odd problem in each group) Assignment 1.6