2 Imaginary NumbersInvented in order to find the square root of a negative number.Imaginary numbers are numbers that can be written using i.
3 Imaginary Numbers By definition the following new number was created: Imaginary UnitWhich means. . .
4 Square Root of Negative Number Caution: This rule should be used before applying any other rules for radicals.
5 Complex Number SystemMathematicians invented the complex number system in order to make it possible to solve all quadratic equations.What is a complex number?A real number plus an imaginary number
6 Complex Number- is an expression of the form a + bi where a and b are real numbers and 2 parts of the definitiona + bi1.2.By definition . . .Real PartImaginary PartStandard Form
7 Adding/Subtracting Complex Numbers ** Procedure is the same as addingand subtracting like terms **ex. 3x + 5x ex w – 12 – 4w8x wTo Add/Subtract Complex Numbers1. Add/Subtract the real parts and add/subtract imaginary parts
8 Multiplying and Dividing Square Roots Rule when a and b are positive . . .
9 Multiplying and Dividing Square Roots This rule DOES NOT apply for negative numbers.NO. . . NO. . . NO. . . NO!
10 Multiplication of Complex Numbers Use FOIL (like multiplying binomials)Remember . . .