1 / 13

Complex Numbers

Complex Numbers. 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.

talen
Télécharger la présentation

Complex Numbers

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Complex Numbers

  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. MultiplyingTreat the i’s like variables, then change any that are not to the first power Ex: Ex:

  11. 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:

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

More Related