Operations with Complex Numbers / Quiz

Donte simplified the expression below.What mistake did Donte make? He did not apply the distributive property correctly for 4(1 + 3i). He did not distribute the subtraction sign correctly for 8 - 5i. He added the real number and coefficient of i in 4(1 + 3i). He added the two complex numbers instead of subtracted.

A

Evaluate when and .

A

Which equation shows an example of the associative property of addition? (-4 + i) + 4i = -4 + (i + 4i) (-4 + i) + 4i = 4i + (-4i + i) 4i × (-4i + i) = (4i - 4i) + (4i × i) (-4i + i) + 0 = (-4i + i)

A

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

B

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? 4 - i 4 + i 8 + i 8 + 7i

C

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

C

Which property of addition is shown below?a + bi + c + di = a + c + bi + di identity property associative property commutative property inverse property

C

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

C

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 commutative property by changing the order of the two complex numbers. Aiko incorrectly used the associative property by changing the order of the two complex numbers. Aiko incorrectly used the identity property by combining the real number and the coefficient of the imaginary part. Aiko incorrectly used the distributive property by combining the real number and the coefficient of the imaginary part.

D

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

D