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