Imaginary Unit

# Imaginary Unit - Imaginary Unit where This is the...

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Imaginary Unit

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where This is the definition of an imaginary number. From here on out, anytime that you have the square root of -1 you can simplify it as i and anytime you have you can simplify it as -1. Standard Form of Complex Numbers Complex numbers are made up of a real number part and an imaginary number part. In this form, a is the real number part and b is the imaginary number part . Note that either one of these parts can be 0. An example of a complex number written in standard form is . Equality of Complex Numbers if and only if a = c AND b = d . In other words, two complex numbers are equal to each other if their real numbers match AND their imaginary numbers match.
Addition and Subtraction of Complex Numbers In other words, when you add or subtract two complex numbers together, you add or subtract the real number parts together, then add or subtract their imaginary parts together and write it as a complex number in standard form. Example 1 : Add . View a video of this example *Add the real num. together and the imaginary num. together *Complex num. in stand. form

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: Subtract . View a video of this example *Subtract the real num. together and the imaginary num. together *Complex num. in stand. form Multiplying Complex Numbers Step 1: Multiply the complex numbers in the same manner as polynomials . If you need a review on multiplying polynomials, go to Tutorial 6: Polynomials. Step 2:
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## This note was uploaded on 02/18/2011 for the course MATH 101 taught by Professor Kindle during the Spring '11 term at South Texas College.

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Imaginary Unit - Imaginary Unit where This is the...

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