Download - Complex Numbers 33 22 11 Properties & Powers of i Operations with Complex Numbers Practice Problems
![Page 1: Complex Numbers 33 22 11 Properties & Powers of i Operations with Complex Numbers Practice Problems](https://reader036.vdocument.in/reader036/viewer/2022062312/5519d222550346695e8b4d09/html5/thumbnails/1.jpg)
Complex Numbers
www.themegallery.com
3
2
1 Properties & Powers of i
Operations with Complex Numbers
Practice Problems
![Page 2: Complex Numbers 33 22 11 Properties & Powers of i Operations with Complex Numbers Practice Problems](https://reader036.vdocument.in/reader036/viewer/2022062312/5519d222550346695e8b4d09/html5/thumbnails/2.jpg)
2
www.themegallery.com
Properties of i
1i
![Page 3: Complex Numbers 33 22 11 Properties & Powers of i Operations with Complex Numbers Practice Problems](https://reader036.vdocument.in/reader036/viewer/2022062312/5519d222550346695e8b4d09/html5/thumbnails/3.jpg)
3
www.themegallery.com
Powers of i
1
1
4
3
2
1
i
ii
i
ii
![Page 4: Complex Numbers 33 22 11 Properties & Powers of i Operations with Complex Numbers Practice Problems](https://reader036.vdocument.in/reader036/viewer/2022062312/5519d222550346695e8b4d09/html5/thumbnails/4.jpg)
4
www.themegallery.com
Addition and Multiplication of Complex Numbers
Treat as you would a variable Remember the powers of i
![Page 5: Complex Numbers 33 22 11 Properties & Powers of i Operations with Complex Numbers Practice Problems](https://reader036.vdocument.in/reader036/viewer/2022062312/5519d222550346695e8b4d09/html5/thumbnails/5.jpg)
5
www.themegallery.com
Addition of Complex Numbers Example
![Page 6: Complex Numbers 33 22 11 Properties & Powers of i Operations with Complex Numbers Practice Problems](https://reader036.vdocument.in/reader036/viewer/2022062312/5519d222550346695e8b4d09/html5/thumbnails/6.jpg)
6
www.themegallery.com
Multiplication of Complex Numbers Example
![Page 7: Complex Numbers 33 22 11 Properties & Powers of i Operations with Complex Numbers Practice Problems](https://reader036.vdocument.in/reader036/viewer/2022062312/5519d222550346695e8b4d09/html5/thumbnails/7.jpg)
7
www.themegallery.com
More Examples of Operations with Complex Numbers
![Page 8: Complex Numbers 33 22 11 Properties & Powers of i Operations with Complex Numbers Practice Problems](https://reader036.vdocument.in/reader036/viewer/2022062312/5519d222550346695e8b4d09/html5/thumbnails/8.jpg)
8
www.themegallery.com
Even More Examples of Operations with Complex Numbers
![Page 9: Complex Numbers 33 22 11 Properties & Powers of i Operations with Complex Numbers Practice Problems](https://reader036.vdocument.in/reader036/viewer/2022062312/5519d222550346695e8b4d09/html5/thumbnails/9.jpg)
9
www.themegallery.com
And Even More Examples of Operations with Complex Numbers
![Page 10: Complex Numbers 33 22 11 Properties & Powers of i Operations with Complex Numbers Practice Problems](https://reader036.vdocument.in/reader036/viewer/2022062312/5519d222550346695e8b4d09/html5/thumbnails/10.jpg)
10
Quotients of Complex Numbers
Solve as you would with a radical in the denominator Multiply by a quotient which simplifies to 1
and whose denominator when multiplied by the denominator of the original problem creates a real number
In the case of a polynomial, multiply the conjugate (i.e. )
NEVER leave a complex number in the denominator
iixx 66,33
![Page 11: Complex Numbers 33 22 11 Properties & Powers of i Operations with Complex Numbers Practice Problems](https://reader036.vdocument.in/reader036/viewer/2022062312/5519d222550346695e8b4d09/html5/thumbnails/11.jpg)
11
www.themegallery.com
Quotients of Complex Numbers Example
![Page 12: Complex Numbers 33 22 11 Properties & Powers of i Operations with Complex Numbers Practice Problems](https://reader036.vdocument.in/reader036/viewer/2022062312/5519d222550346695e8b4d09/html5/thumbnails/12.jpg)
12
www.themegallery.com
Quotients of Complex Numbers Example
![Page 13: Complex Numbers 33 22 11 Properties & Powers of i Operations with Complex Numbers Practice Problems](https://reader036.vdocument.in/reader036/viewer/2022062312/5519d222550346695e8b4d09/html5/thumbnails/13.jpg)
13
www.themegallery.com
Roots of Negative Numbers
![Page 14: Complex Numbers 33 22 11 Properties & Powers of i Operations with Complex Numbers Practice Problems](https://reader036.vdocument.in/reader036/viewer/2022062312/5519d222550346695e8b4d09/html5/thumbnails/14.jpg)
14
Quadratic Equation with Complex Solutions
![Page 15: Complex Numbers 33 22 11 Properties & Powers of i Operations with Complex Numbers Practice Problems](https://reader036.vdocument.in/reader036/viewer/2022062312/5519d222550346695e8b4d09/html5/thumbnails/15.jpg)
15
www.themegallery.com
Equation with Complex Solutions
![Page 16: Complex Numbers 33 22 11 Properties & Powers of i Operations with Complex Numbers Practice Problems](https://reader036.vdocument.in/reader036/viewer/2022062312/5519d222550346695e8b4d09/html5/thumbnails/16.jpg)
16
www.themegallery.com
Practice Problems
Page 102Problems 1-34