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10 steps: (1) Complex number: z=a+bi where a=real part, b=imaginary part. (2) Addition: (a+bi)+(c+di) = (a+c)+(b+d)i. (3) Multiplication: (a+bi)(c+di) = ac+adi+bci+bdi² = (ac-bd)+(ad+bc)i. (4) Conjugate: z̄ = a-bi. z·z̄ = a²+b² (always real!). (5) Division: divide by multiplying by conjugate. (a+bi)

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