Operations with Complex Numbers

Melissa and Tomas are playing a game with complex numbers. If Melissa has a score of 5 - 4i and Tomas has a score of 3 + 2i, what is their total score?

8 - 2i

Which property of addition is shown below? If x = a + bi and y = -a - bi, x + y = 0.

inverse property

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

13

The relationship between voltage, E, current, I, and resistance, Z, is given by the equation E = IZ. If a circuit has a current I = 3 + 2i and a resistance Z = 2 - i, what is the voltage of the circuit?

8 + i

Which equation shows an example of the associative property of addition?

(-4 + i) + 4i = -4 + (i + 4i)

What is the additive inverse of the complex number -8 + 3i?

8 - 3i

Donte simplified the expression below. mc024-1.jpg What mistake did Donte make?

He did not apply the distributive property correctly for 4(1 + 3i).

Which equation demonstrates the additive identity property?

(7+4i)+0=7+4i

Which property of addition is shown below? a + bi + c + di = a + c + bi + di

commutative property

Which property of multiplication is shown below? If x = a + bi and y = c + di, x × y = y × x.

commutative property