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# Complex Numbers - PowerPoint PPT Presentation

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.

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## PowerPoint Slideshow about 'Complex Numbers' - atalo

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Presentation Transcript

### Complex Numbers

Lesson 5.1

The Imaginary Number i

• By definition

• Consider powers if i

• Now we can handle quantities that occasionally show up in mathematical solutions

Real part

Complex Numbers

• Combine real numbers with imaginary numbers

• a + bi

• Examples

• Write these complex numbers in standard form a + bi

• Complex numbers can be combined with

• subtraction

• multiplication

• division

• Consider

• Division technique

• Multiply numerator and denominator by the conjugate of the denominator

• Possible result

• Reset modeComplex formatto Rectangular

• Now calculator does desired result

• Operations with complex on calculator

Make sure to use the correct character for i. Use 2nd-i

• Consider

• It is tempting to combine them

• The multiplicative property of radicals only works for positive values under the radical sign