Performing Operations with Complex Numbers Answers

Which property allows you to write the expression (3 + 7i) + (8 – 6i) as (8 – 6i) + (3 + 7i)? ✔ commutative X associative distributiveidentity

Which property allows you to write the expression [(3 + 7i) + (8 – 6i)] + (1+ 9i) as (8 – 6i) + [(3 + 7i) + (1 + 9i)]? commutative ✔ associative distributiveidentity

The property allows 3i + 2i to be written as (3 + 2)i.

The sum of 3i + 2i is equal to i.

In general, ai + bi =

Add (3 − 5i) + (−2 + 8i). Sum of real parts: Sum of imaginary parts: i

Question text not available

3 + iX 3 – i✔ 1 + 3i–1 – 3i

Subtract (5 – 2i) – (1 + 8i).Which property allows you to write the expression as 5 – 2i – 1 – 8i?

What is the real part of the difference?

What is the imaginary part of the difference? i

The difference is

What is the additive inverse of –2 + 8i?

Which of the following is equivalent to –2i(6 – 7i)?

Study the work shown below and compare the results to the product of –2i(6 – 7i).(0 – 2i)(6 – 7i)= (0)(6) + (0)(–7i) + (–2i)(6) + (–2i)(–7i)= 0 + 0 –12i + 14i2= –12i – 14= –14 –12iThe products are .

Find the product of each pair of complex conjugates.(3 + 8i)(3 – 8i) =

(4 + 5i)(4 – 5i) =

(a + bi)(a – bi) = a2 – (bi)2 = a2 + b2 The product of a complex number and its complex conjugate is ✔ alwaysX sometimesnever a real number.