Dividing Complex Numbers
Modulus
Arguments
DeMoivre's Theorem
Potpourri
100
3 / (4 + 6i)
(6 - 9i) / 26
100
Find the modulus of: 2 + 3i
√13
100
When converted into polar form, what would be the argument of: 4 + 6i
56 degrees
100
Evaluate: (2 + 3i)3
-46 + 9.87i
100
Mr. Swayze's favorite food is...
Sushi.
200
9i / (-8 - 10i)
( -5 -4i) / 2
200
Find the modulus of: 6 - 8i
10
200
When converted into polar form, what would be the argument of: - 5 + 8i
122 degrees
200
(4 - 2i)3
14.24 - 88.11i
200
How many possible combinations are in a bank ATM code that has 4 digits with the numbers 0-9 available for each digit?
10,000
300
(3 + 6i) / (4 - 2i)
3i / 2
300
Find the modulus of: -11 - 18i
√445
300
When converted into polar form, what would be the argument of: -√3 - 2i
229 degrees
300
Evaluate: (-5 + 3i)4
-647.36 - 959.48i
300
You want to play some good music for Mr. Swayze. What do you put on?
Answers may vary. Mr. Swayze will be the judge.
400
(8 - 5i) / (-7 - 4i)
(-36 + 67i) / 65
400
Find the modulus of: √16 + 18i
√340
400
When converted into polar form, what would be the argument of: 9 - 10i
312 degrees or -48 degrees
400
Evaluate: (6 + 3i)4
-627.75 + 1923.75i
400
A train leaves London at 10 AM and travels west. Another train leaves Detroit at 12 PM and travels east. At what time will the two trains meet?
Trains can't cross the Atlantic ocean.
500
(10 - 9i) / (-7 + 10i)
(-160 - 37i) / 149
500
Find the modulus of: √17 + √19i
6
500
When converted into polar form, what would be the argument of: -8 + 6i
143 degrees
500
Evaluate: (3 + 2i)5
-596.82 + 103.53i
500
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, ? The next number in the sequence?
89
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