Download presentation

Presentation is loading. Please wait.

1
**Introduction to Complex Numbers**

Adding, Subtracting, Multiplying And Dividing Complex Numbers Describe any number in the complex number system.

2
**a + bi Complex Numbers are written in**

the form a + bi, where a is the real part and b is the imaginary part. a + bi real part imaginary part

3
**(3 + 7i) + (8 + 11i) 11 + 18i When adding complex numbers,**

add the real parts together and add the imaginary parts together. imaginary part (3 + 7i) + (8 + 11i) real part i

4
**When subtracting complex numbers,**

be sure to distribute the subtraction sign; then add like parts. (5 + 10i) – (15 – 2i) 5 + 10i – i – i

5
**When multiplying complex numbers,**

use the FOIL method. (3 – 8i)(5 + 7i) i – 40i – 56i2 15 – 19i + 56 Remember, i2 = –1 71 – 19i

6
To divide complex numbers, multiply the numerator and denominator by the complex conjugate of the complex number in the denominator of the fraction. 7 + 2i 3 – 5i The complex conjugate of 3 – 5i is 3 + 5i.

7
7 + 2i 3 – 5i (3 + 5i) (3 + 5i) i + 6i + 10i2 9 + 15i – 15i – 25i2 i 34 i – 10 9 + 25

8
Try These. (3 + 5i) – (11 – 9i) (5 – 6i)(2 + 7i) 2 – 3i 5 + 8i 4. (19 – i) + (4 + 15i)

9
Try These. (3 + 5i) – (11 – 9i) i (5 – 6i)(2 + 7i) i 2 – 3i –14 – 31i 5 + 8i 4. (19 – i) + (4 + 15i) i

Similar presentations

OK

6.6 – Complex Numbers Complex Number System: This system of numbers consists of the set of real numbers and the set of imaginary numbers. Imaginary Unit:

6.6 – Complex Numbers Complex Number System: This system of numbers consists of the set of real numbers and the set of imaginary numbers. Imaginary Unit:

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on power supply design Ppt on fire extinguisher types for electronics Ppt on human environment settlement transport and communication Ppt on world environment day theme Ppt on scope of wind farming in india Ppt on electric meter testing Ppt online shopping project in html Inferences in reading ppt on ipad Ppt on conservation of linear momentum Ppt on acids bases and salts for class 10