ABSOLUTE VALUE OF A COMPLEX NUMBER WORKSHEET

Problem 1 :

Find the absolute value of 7 - i.

Problem 2 :

Find the absolute value of -5 - 5i.

Problem 3 :

Find the absolute value of 3 - 6i.

Problem 4 :

Find the absolute value of 10 - 2i.

Problem 5 :

Find the absolute value of -4 - 8i.

Problem 6 :

Find the absolute value of -4 + 10i.

Problem 7 :

Find the absolute value of 1 - 8i.

Problem 8 :

Find the absolute value of -4 - 3i.

Problem 9 :

Find the absolute value of -1 + 5i.

Problem 10 :

Find the absolute value of 8 - 3i.

Answers

1. Answer :

|7 - i|  =  √[7² + (-1)²]

=  √(49 + 1) 

=  √50

=  √(5 x 5 x 2)

=  5√2

2. Answer :

|-5 - 5i|  =  √[(-5)² + (-5)²]

=  √(25 + 25) 

=  √50

=  √(5 x 5 x 2)

=  5√2

3. Answer :

|3 - 6i|  =  √[3² + (-6)²]

=  √(9 + 36) 

=  √45

=  √(3 x 3 x 5)

=  3√5

4. Answer :

|10 -2i|  =  √[10² + (-2)²]

=  √(100 + 4) 

=  √104

=  √(2 x 2 x 26)

=  2√26

5. Answer :

|-4 - 8i|  =  √[(-4)² + (-8)²]

=  √(16 + 64) 

=  √80

=  √(2 x 2 x 2 x 2 x 5)

= 4√5

6. Answer :

|-4 + 10i|  =  √[(-4)² + 10²]

=  √(16 + 100)

=  √116

=  √2 x 2 x 29 = 2 √29

7. Answer :

|1 - 8i|  =  √[1² + (-8)²]

=  √(1 + 64)

=  √65

8. Answer :

|-4 - 3i|  =  √(-4)² + (-3)²

=  √(16 + 9) 

=  √25

=  5 

9. Answer :

|-1 + 5i|  =  √[(-1)² + 5²]

=  √(1 + 25) 

=  √26

10. Answer :

|8 - 3i|  =  √[8² + (-3)²]

=  √(64 + 9) 

=  √73

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