5-6 Complex Numbers Part 1 Big Idea: Identify and graph complex numbers.

Imaginary Numbers Imaginary numbers are represented by. Imaginary numbers are defined as the number whose square is -1. So and Imaginary numbers are of the form of a + bi where a and b are real numbers and b 0.

Ex 1: Simplify each number by using imaginary number i. A ) B) C) D) -

E)F)

Complex Numbers

Ex 2: Write each number in the form of a + bi. A)B) C) D)

E)F)

Complex Plane

Absolute value of a complex number

Ex 3: Find the absolute value of each complex number. A)B) C) D)

Ex 4: Simplify each expression. A) (5 – 2i)+ (-3 +i) B) (-7 + 3i) +(-4 – 4i)

C) (6 + 10i) + (-6i) D) 7 - (9 - 4i)