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Complex Numbers Lesson 5.1

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**It's any number you can imagine**

The Imaginary Number i By definition Consider powers if i

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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 Consider

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**Operations on Complex Numbers**

Division technique Multiply numerator and denominator by the conjugate of the denominator

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**Complex Numbers on the Calculator**

Possible result Reset mode Complex format to Rectangular Now calculator does desired result

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**Complex Numbers on the Calculator**

Operations with complex on calculator Make sure to use the correct character for i. Use 2nd-i

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**Warning Consider It is tempting to combine them**

The multiplicative property of radicals only works for positive values under the radical sign Instead use imaginary numbers

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Try It Out Use the correct principles to simplify the following:

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Assignment Lesson 5.1 Page 340 Exercises 1 – 69 EOO

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Introduction to Complex Numbers Adding, Subtracting, Multiplying And Dividing Complex Numbers SPI 3103.2.1 Describe any number in the complex number system.

Introduction to Complex Numbers Adding, Subtracting, Multiplying And Dividing Complex Numbers SPI 3103.2.1 Describe any number in the complex number system.

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