Stage 31 · Complex Numbers

31.3.3 The Cycle of Powers of i

31.3 The Four Operations on Complex Numbers

Point 3 of 4

31.3.3 The Cycle of Powers of i

Core idea

Picture this: i, −1, −i, 1 roll around like four seasons, repeating every fourth step, so for iⁿ you only need the remainder of n divided by 4

Module goal. We build the rules for adding, subtracting, multiplying, and dividing — learning both to grind through them algebraically and to see what addition and subtraction mean geometrically

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