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Published byClaribel Welch Modified over 8 years ago
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Complex Numbers 22 11 Simplifying Addition & Subtraction 33 Multiplication
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Remember: Imaginary Number (i) Defined as: Powers of i 2
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Simplifying Monomials Simplify a Power of i Steps Separate i into a power of 2 or 4 taken to another power Use power of i rules to simplify i into -1 or 1 Take -1 or 1 to the power indicated Recombine any leftover parts 3
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Operations Simplify a Power of i Simplify 4
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Simplifying Monomials Example Square Roots of Negative Numbers Simplify 5
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Addition & Subtraction Add and Subtract Complex Numbers Treat i like a variable Simplify 6
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Ex: Addition & Subtraction Examples
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Multiplying Complex Numbers Multiply Pure Imaginary Numbers Steps Multiply real parts Multiply imaginary parts Use rules of i to simplify imaginary parts 8
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Monomial Multiplication Example Multiply Pure Imaginary Numbers Simplify 9
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Multiplication Example Multiply Complex Numbers Simplify 10
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Solving ax 2 +b=0 Equation With Imaginary Solutions Solve Note: ± is placed in the answer because both 4 and -4 squared equal 16 11
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