Lesson 2: Operations with Complex Numbers Answers

4 verified answers

Which equation illustrates the identity property of multiplication?

(a + bi) × c = (ac + bci)

(a + bi) × 0 = 0

(a + bi) × (c + di) = (c + di) × (a + bi)

(a + bi) × 1 = (a + bi)

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)

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

–8 – 3i

–8 + 3i

8 – 3i

8 + 3i

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

commutative property

inverse property

identity property

associative property

Did you find these answers helpful?

More from this Course