1e)+Complex+Numbers+(4.6)

Here's a helpful link: http://www.purplemath.com/modules/complex.htm Standard Form: **a + bi** The real part is **a** and the imaginary part is **bi**
 *  __Complex Numbers __  __! __  **

__Adding and Subtracting Complex Numbers __

To add or subtract two or more complex numbers, add or subtract their real parts and add or subtract thier imaginary aprts

(a + bi) + (c+di) = (a + c) + (b + d)i __Multiplying Complex Numbers __

To multiply complex numbers use the distributive property, just like an binomial expression

(a + bi) (c+di) = ac + (ad)i + (bc)i + (bd)i² after doing the initial distribution, replace i ² with -1 and combine like terms __Dividing Complex Numbers __  The ratio of two complex numbers is not considered in simplest form unless the denominator is a pure real number. The complex conugate is used to convert ratios of complex numbers to standard form

     When simplifying i, i repeats continuously every fourth. Therefore, you can simplify it by taking the closest multiple of four and dividing. You than use the remainder and looking where it lays on the chart. For example, i ^17 is equal to i beause the closest multiple would be 16. You have one remainder, so after looking at the chart you can realize that i^1 is equal to i.
 * examples:**