Unit 2: Quiz 2 - Operations with Complex Numbers

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

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

Which equation demonstrates the additive identity property?

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

Which equation illustrates the identity property of multiplication?

(a + bi) × 1 = (a + bi)

What is the value of (-7 + 3i) - (2 - 6i)?

-9 + 9i

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

8 - 3i

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?

Aiko incorrectly used the distributive property by combining the real number and the coefficient of the imaginary part.

Donte simplified the expression below. 4(1+3i) - (8-5i) 4+3i - 8 + 5i -4 + 8i What mistake did Donte make?

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

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

commutative property

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

identity property

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

inverse property