Download presentation

Presentation is loading. Please wait.

1
Complex Numbers

2
**Definition of a complex number**

If a and b are real numbers, the number a+bi is a complex number and it is said to be written in standard form. If b=0, the number a+bi=a is a real number. If b≠0, the number a+bi is called an imaginary number. A number of the form bi, where b≠0, is called a pure imaginary number. Definition of a complex number

3
**The imaginary unit raised to powers**

i is the imaginary unit and is equal to Note the pattern: The imaginary unit raised to powers

4
**Venn diagram of the complex number system**

5
**Addition and subtraction of complex numbers**

To add (or subtract) two complex numbers, you add (or subtract) the real and imaginary parts of the numbers separately. (3 – i) + (2 + 3i) = (5 + 2i) The sum of two complex numbers can be a real number. Addition and subtraction of complex numbers

6
**Multiplication of complex numbers**

You can use the associative property, commutative property, and distributive property of multiplication along with FOIL to multiply complex numbers. (2 – i)(4 + 3i) = 8 + 6i - 4i -3i² = i Multiplication of complex numbers

7
**Dividing complex numbers**

To find the quotient of a +bi and c + di where c and d are not both zero, multiply the numerator and denominator by the conjugate of the denominator to obtain Dividing complex numbers

8
**Fractal Geometry and the complex plane**

Most applications involving complex numbers are either theoretical or very technical. Many have their basis in fractal geometry which starts with the complex plane. Fractal Geometry and the complex plane

9
A fractal art work

Similar presentations

OK

Warm up Simplify the following without a calculator: 5. Define real numbers ( in your own words). Give 2 examples.

Warm up Simplify the following without a calculator: 5. Define real numbers ( in your own words). Give 2 examples.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on leverages in financial management Ppt on dda line drawing algorithm in computer Full ppt on electron beam machining metal Ppt on number system for class 10 Ppt on complex numbers class 11th accountancy Ppt on poem the road not taken Ppt on transportation in human beings higher Ppt on mohenjo daro civilization Ppt on summary writing ppt Ppt on computer software and hardware