Download Notes 29 Operations with Complex Numbers

Notes 2­9 Operations with Complex Numbers
Objectives:
­ Perform operations with complex numbers
Why learn this?
Complex numbers can be used in formulas to create patterns called fractals.
1
Just as you can represent real numbers graphically as points in a coordinate plane, you can represent complex numbers in a special coordinate plane...
The complex plane is a set of coordinate axes in which the horizontal axis represents real numbers and the vertical axis represents imaginary numbers.
2
Ex. Graph each complex number.
a.
b.
c.
d. 3
Try These:
Ex. Graph each complex number.
a.
b.
c.
d. 4
Ex. Find each absolute value.
a.
b.
c. 5
Try These:
Ex. Find each absolute value.
a.
b.
c. 6
Adding and subtracting complex numbers is similar to adding and subtracting variable expressions....
COLLECT LIKE TERMS!!
Ex. Add or subtract. Write the result in the form a + bi.
a.
b.
c.
d. 7
To multiply complex numbers... distribute!
Ex. Multiply. Write the result in the form a + bi
a.
b.
c.
d. 8
Review powers of i...
Ex. Simplify.
a.
b. 9
Try These:
Ex. Simplify.
a.
b. 10
Recall that expressions in simplest form cannot have square roots in the denominator...
Ex. Simplify
a.
b. 11
Try These:
Ex. Simplify.
a.
b. 12