Sec 5: Operations with Complex Numbers

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Presentation transcript:

Sec 5: Operations with Complex Numbers Learning Target: I will add, subtract and multiply complex numbers. Sec 5: Operations with Complex Numbers Homework: Pg 250 #18-32 all, 36-40 even

Quality Core Practice * Can you do it without a Calculator?

Ex 1: Generating Patterns with i 𝑖= −1 𝑖 2 = 𝑖 3 = 𝑖 4 = 𝑖 5 = 𝑖 6 = 𝑖 7 = 𝑖 8 = Do you notice a pattern? What would 𝑖 25 be the same as?

Ex 2: Adding & Subtracting (5 + 7i) + (-2 + 6i) (8 + 3i) – (2 + 4i) 7 – (3 + 2i) (4 – 6i) + 3i

Ex 3: Multiplying Complex Numbers Remember! 𝑖 should remain 𝑖…so avoid using −1 . 𝑖 2 =−1, which you do want to use to simplify. (5i)(-4i) (12i)(7i) (2 + 3i)(-3 + 5i) (6 – 5i)(4 – 3i)

Ex 4: Holy Crap! What is the product of 3i, 2i – 4 and -4i?

HOMEWORK Pg 250 #18-32 all, 36-40 even