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OPERATIONS WITH COMPLEX NUMBERS

TABLE–SELECTION GAME

Select one correct answer for each of the questions in the test and press theFinish button at the end. The answers will be validated automatically.

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FINISHSCORE

The figure shows complex numbers A-J in the cartesian coor-dinate system. Choose the correct result of each of the givenoperations with the complex numbers.

Re(z)

Im(z)

−4 −2 2 4

−4

−2

2

4

ABC

DE

FG

H

IJ

1. A + B 5− 6i−6 + 5i−1−i 5− 6i−6 + 5i−1−i 5− 6i−6 + 5i−1−i 5− 6i−6 + 5i−1−i

2. D − C 5 + 6i5 + 2i−1 + 6i−1 + 2i 5 + 6i5 + 2i−1 + 6i−1 + 2i 5 + 6i5 + 2i−1 + 6i−1 + 2i 5 + 6i5 + 2i−1 + 6i−1 + 2i

3. E · G −12 + 5i12 + 5i−2 + 11i−12 −12 + 5i12 + 5i−2 + 11i−12 −12 + 5i12 + 5i−2 + 11i−12 −12 + 5i12 + 5i−2 + 11i−12

4. I/H −35 −

45i−3

5 + 45i3

5 −45i3

5 + 45i −3

5 −45i−3

5 + 45i3

5 −45i3

5 + 45i −3

5 −45i−3

5 + 45i3

5 −45i3

5 + 45i −3

5 −45i−3

5 + 45i3

5 −45i3

5 + 45i

5. F 5 128− 128i128 + 128i−128−128i−128+128i 128− 128i128 + 128i−128−128i−128+128i 128− 128i128 + 128i−128−128i−128+128i 128− 128i128 + 128i−128−128i−128+128i

6. √J ±i±1{−1; i}{−1;−i} ±i±1{−1; i}{−1;−i} ±i±1{−1; i}{−1;−i} ±i±1{−1; i}{−1;−i}

You are an Einstein!Wow, what a wonderful job! Just be careful aboutan alcohol party before an exam. You could

damage your brain cells.

Amazing! Incredible!Good job, buddy!Wait! Sheldon might get jealous!Hermione’s top of the class title is almost on theline.

Great! Only millimetresaway from perfect.

You’re almost rocking.You made some mistakes,but you still deserve praise.

That was close! Next time you willshine like a star.

You can do better! You have to work harder!Try again, practice makes perfect!Not great, not terrible.You are somewhere in the middle.It is not so bad, but you still have

a lot to catch up on.You understand this a bit,

but you still need to practice.You may not be a future Fields Medal laureate,

but you can do better on this test.You made it,

but there’s still room for improvement.Pity, you might need to practice more.You made a lot of mistakes.

You aren’t good at this yet.It wasn’t Enigma,

so where is the problem?Your math knowledge

is just like the square root of −1.The awkward moment, when you finish a mathproblem and your answer isn’t even one of the

choices. . . .

Do you know that you have to clickon the right answer?

Mission failed. We’ll get them next time.The awkward moment, when the only thing on yourexam you know is your name.

Correct answers: