Download presentation

Presentation is loading. Please wait.

1
5.4 Complex Numbers (p. 272)

2
Imaginary Unit Until now, you have always been told that you can’t take the square root of a negative number. If you use imaginary units, you can! The imaginary unit is ¡. ¡= It is used to write the square root of a negative number.

3
**Property of the square root of negative numbers**

If r is a positive real number, then Examples:

4
***For larger exponents, divide the exponent by 4, then use the remainder as your exponent instead.**

Example:

5
Examples

6
**Complex Numbers A complex number has a real part & an imaginary part.**

Standard form is: Real part Imaginary part Example: 5+4i

7
The Complex plane Real Axis Imaginary Axis

8
**Graphing in the complex plane**

9
**Adding and Subtracting (add or subtract the real parts, then add or subtract the imaginary parts)**

Ex: Ex: Ex:

10
**Multiplying Treat the i’s like variables, then change any that are not to the first power**

Ex: Ex:

12
**Absolute Value of a Complex Number**

The distance the complex number is from the origin on the complex plane. If you have a complex number the absolute value can be found using:

13
Examples 1. 2. Which of these 2 complex numbers is closest to the origin? -2+5i

14
Assignment

Similar presentations

© 2020 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google