Post on 13-Dec-2015
Complex Number System
• Adding, Subtracting, Multiplying and Dividing Complex Numbers
• Simplify powers of i
Complex NumbersNumbers of the form a + bi,
where a and b are real numbers and i is the
imaginary unit.
Adding and Subtracting
Complex Numbers1. Change (-) to (+) of the
opposite2. Apply the Distributive Property3. Combine all like terms4. Write your answer in the form
of a + bi
Multiplying Complex Numbers
1. FOIL Method for multiplying binomials
2. Distributive Property for all others
3. Follow the rules of exponents4. Combine all like terms5. Write your answer in the form
of a + bi
The conjugate of the conjugate of a complex number is the complex number
itself.
The conjugate of the sum of two complex numbers equals the sum of their
conjugates.
The conjugate of the product of two complex numbers equals the product of
their conjugates.
Dividing Complex Numbers
1. You cannot have an i in the denominator
2. Multiply by conjugate of denominator
3. FOIL Method for multiplying binomials
4. Follow the rules of exponents5. Combine all like terms6. Write your answer in the form of
a + bi