Complex Numbers Worksheet With Answers Page 2

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Absolute Value of Complex Numbers (a+bi) 
 
Calculates the distance of the complex number to the origin! 
 
Determine the absolute value of the following: 
2
 
|
z| 
=   + b
|a
i|   
=  
a
2
+ b
 
A)   
z = 2 + 3  
i
 
 
 
B)  
z = 3 − 5  
i
 
 
 
C)  
z =   + 1  
5
2i
 
 
 
D)  
z =   − 3  
2
i
 
 
 
 
Determine the absolute value of the following:
 
A)   
z = 3 + 4  
i
B)  
z = 1 − 2
i
C)  
z = 3
D)  
z = 4  
− i
   
 
 
 

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