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Complex Numbers
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It's any number you can imagine
The Imaginary Number i By definition Consider powers of i I “one” I “one” And it is a “negative” sandwich
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Using i Now we can handle quantities that occasionally show up in mathematical solutions What about
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Complex Numbers Combine real numbers with imaginary numbers Examples
a + bi Examples Real part Imaginary part
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Try It Out Write these complex numbers in standard form a + bi
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Operations on Complex Numbers
Complex numbers can be combined with addition subtraction multiplication division
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Add
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Subtract
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Multiply
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Multiply (2+3i)²
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Division Division technique
Multiply numerator and denominator by the conjugate of the denominator What is the conjugate? Take the second part of the complex number and make it the opposite
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Division
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Let’s Practice WS 1.3 Classwork – Evens Homework - Odds
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