Complex Numbers

Question 1

Which subtraction expression has the difference 1 + 4i?

Revolt · Accepted Answer

(3 + 5i) – (2 + i)

Question 2

Subtract (3 + 2i) from (–9 – 8i).

Revolt · Accepted Answer

–12 – 10i

Question 3

Is the work shown below correct? Explain your answer.(11 + 2i ) – (3 – 10i ) = 11 + 2i – 3 – 10i = (11 – 3) + (2i – 10i) = 8 – 8i

Revolt · Accepted Answer

No, the work shown is not correct. When subtracting complex numbers, you must distribute the negative sign to both terms inside the second set of parentheses.

Question 4

Let x = a + bi and y = c + di and z = f + giWhich statements are true? Check all of the boxes that apply.

Revolt · Accepted Answer

x + y = y + x; (x × y) × z = x × (y × z); (x + y) + z = x + (y + z)

Question 5

Which of the following did your answer include? Check all of the boxes that apply.

Revolt · Accepted Answer

The work shown is not correct.; The subtraction sign did not get distributed to the –10i.; The sign on –10i should have changed.; The imaginary part should be 12i.

Complex Numbers Answers

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