Chapter 4.6.notebook
October 17, 2013
Bellwork: solve: Chapter 4.6: Perform Operations with Complex Numbers
What is the solution to x2=­1?
­ Not all answers are Real Numbers... We call these Imaginary numbers, i.
1
Chapter 4.6.notebook
October 17, 2013
ex. Solve:
Complex Number System(a+bi)
Real Numbers
(a+0i)
Imaginary Numbers
(0+bi)
2
Chapter 4.6.notebook
October 17, 2013
Properties:
*Hint... Just add like terms
ex. Simplify:
a. (8­i)+(5+4i)
b. (7­6i)­(3­6i)
c. 10­(6+7i)+4i
3
Chapter 4.6.notebook
October 17, 2013
ex. Write the expression as a complex number in standard form.
4i(­6+1)
(9­2i)(­4+7i)
Complex Conjugates....
remember...
so...
3+5i
4
Chapter 4.6.notebook
October 17, 2013
ex. Write in standard form.
ex. Plot the numbers on the complex plane.
a. 3­2i
b. ­2+4i
c. 3i
d. ­4­3i
5
Chapter 4.6.notebook
October 17, 2013
What is the absolute value?
­ think 2D
imaginary
?
bi
real
a
ex. Find the absolute value of:
a. ­4+3i
b. ­3i
6
Chapter 4.6.notebook
October 17, 2013
Homework: Chapter 4.6 pg.279 #'s 4­32e, 42,44,50,54,56,68
7