A. Definitions
 Imaginary unit "i" is equal to
 Complex number in standard form is a + bi.
 "a" and "b" are real numbers.
 Pure imaginary number is in the form bi.
B. Simplifying "i" Raised to Some Number
 Divide the exponent by 4 and determine the remainder
 Raise "i" to that power to simplify.
 i = i
 i^{2} = 1
 i^{3} = i
 i^{4} = 1
C. Simplifying the Square Root of a Negative Number
 Factor out the square root of 1, which equals "i".
 Simplify the radical of the positive number if possible.
D. Graphing a Complex Number in Standard Form a + bi
 Rename the axes
 The traditional xaxis is the real axis or "a".
 The traditional yaxis is the imaginary axis or "b".
 Start at the origin.
 Use the values of "a" and "b" to graph the point.
 The value of "a" determines whether to move left or right along the real axis.
 The value of "b" determines whether to move up or down along the imaginary axis.
 Graph the point after making these two moves.
E. Operations with Complex Numbers
 Perform the operations as though "i" were any variable.
 Simplify "i" when possible. Refer to Part B above.
 Write answers in standard form a + bi.
Practice Problems
