Complex Numbers

Which of the following is a correct representation of a Complex Number?

• a + bi

• ab

• a - b

• a x b

• 6 + 8i

• 2 + 15i

• -2 + 8i

• 6 - 2i

What is the product of (1 + 2i)(3 - 4i)?

• 7 + 2i

• 11 + 2i

• 11 - 2i

• -5 + 10i

• 1

• i

• • - 1

How do you subtract 3 + 4i from 7 +2i ?

• 4 + 6i

• 4 - 2i

• 10 + 6i

• 10 - 2i

What is the results of dividing 6 + 2i by 3 + i ?

• 2 + i

• 2 - i

• 1 + 2i

• 2

Which of the following expressions represents the conjugate of 5 + 6i ?

• -5 + 6i

• 5 - 6i

• -5 - 6i

• 6 + 5i

• 13

• 16

• 7

• 25

If you add two complex numbers and their sum is purely real, what can you conclude about their imaginary parts?

• They are both zero.

• They are both positive.

• They are equal and opposite.

• They are equal.

Can you create two complex numbers such that their product is a purely real number and explain your reasoning?

• 2 + i and -2 + i

• 3 + 4i and -3 + 4i

• 2 + 3i and 2 - 3i

• 1 + 2i and 1 + 2i