Aim: How do we operate the imaginary numbers? Do Now: 1. Simplify: 2. Simplify: 3. Simplify: Homework: p.208 #20,22,24,26,27,36,38,40 p.209 # 2,4.

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Aim: How do we operate the imaginary numbers? Do Now: 1. Simplify: 2. Simplify: 3. Simplify: Homework: p.208 #20,22,24,26,27,36,38,40 p.209 # 2,4

Why is 12i 2 = –12? We will talk about powers of imaginary number momentarily

Powers of i

There is a pattern about the powers of i The powers of i more than 5 can be simplified to less than or equal to 4 if we divide the power by 4 and use the remainder to get simplified power. 8 2 Therefore, i 10 = i 2 = -1 For example:

Evaluate:

Perform the operations of the imaginary numbers

Perform the indicated operation: i

Perform the indicated operation: – 20 – 88 14i