Operations with Complex Numbers Answers

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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.

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

commutative property

inverse property

identity property

associative property

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)

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