1 / 12

Complex Numbers

Complex Numbers. Lesson 5.1. It's any number you can imagine. The Imaginary Number i. By definition Consider powers if i. Using i. Now we can handle quantities that occasionally show up in mathematical solutions What about. Imaginary part. Real part. Complex Numbers.

atalo
Download Presentation

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 Lesson 5.1

  2. It's any number you can imagine The Imaginary Number i • By definition • Consider powers if i

  3. Using i • Now we can handle quantities that occasionally show up in mathematical solutions • What about

  4. Imaginary part Real part Complex Numbers • Combine real numbers with imaginary numbers • a + bi • Examples

  5. Try It Out • Write these complex numbers in standard form a + bi

  6. Operations on Complex Numbers • Complex numbers can be combined with • addition • subtraction • multiplication • division • Consider

  7. Operations on Complex Numbers • Division technique • Multiply numerator and denominator by the conjugate of the denominator

  8. Complex Numbers on the Calculator • Possible result • Reset modeComplex formatto Rectangular • Now calculator does desired result

  9. Complex Numbers on the Calculator • Operations with complex on calculator Make sure to use the correct character for i. Use 2nd-i

  10. 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

  11. Try It Out • Use the correct principles to simplify the following:

  12. Assignment • Lesson 5.1 • Page 340 • Exercises 1 – 69 EOO

More Related