Complex Numbers

Classification of Numbers

This is how numbers are classified:

Evaluating  

Basic power properties of i:

When i is raised to a high power:

• Divide the exponent by 4
• Find the remainder
• Take i to that power

Example:

• Divide 671 by 4 and find the remainder
• The remainder is 3
• Because , this means 

Writing Complex Numbers in Standard Form

All complex numbers (a real number added to real multiples of an imaginary unit) can be written in the standard of complex numbers:

a+bi

When a complex number is in the denominator:

• Remove it from the denominator by multiplying by its conjugate
• The conjugate is the expression formed by changing the sign between two terms

Example:

Last Thing:


There is no number between the two.
Any number added will give put you above 1.
Believe it.