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Complex Numbers Any number in form a+bi, where a and b are real numbers and i is imaginary. What is an imaginary number?

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**Definition of imaginary numbers:**

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**Simplify complex numbers**

Remember 28

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Answer: -i

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Try these problems: -15 i

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**When adding or subtracting complex numbers, combine like terms.**

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Try these on your own

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ANSWERS:

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**Multiplying complex numbers.**

To multiply complex numbers, you use the same procedure as multiplying polynomials.

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**Examples to do together:**

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**Lets do another example.**

F O I L Next

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Answer: 21-i Now try these:

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Next

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Answers:

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Conjugates In order to simplify a fractional complex number, use a conjugate. What is a conjugate?

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**are said to be conjugates of each other.**

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Lets do an example: Rationalize using the conjugate Next

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Reduce the fraction

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**Lets do another example**

Next

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Try these problems.

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Section 5.4 Imaginary and Complex Numbers

Section 5.4 Imaginary and Complex Numbers

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