Operations with Complex Numbers Answers

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

Aiko is finding the sum (4 + 5i) + (–3 + 7i). She rewrites the sum as (–3 + 7)i + (4 + 5)i. Which statement explains the error Aiko made by using a mathematical property incorrectly?

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?

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

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?

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

What is the additive inverse of the complex number 9 – 4i?

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

Which property of addition is shown in the equation below?a + bi + 0 + 0i = a + bi

Which equation demonstrates the additive identity property?