Complex Numbers Answers

Which property allows you to write the expression (3 + 7i) + (8 − 6i) as (8 − 6i) + (3 + 7i)?

Which property allows you to write the expression [(3 + 7i) + (8 − 6i)] + (1+ 9i) as (3 + 7i) + [(8 − 6i) + (1 + 9i)]?

The sum of (3 - 5i) + (-2 + 8i) is .

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

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

In general, ai + bi =

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 .

The product of a complex number and its complex conjugate is a real number.

Which property allows you to write the expression (3 + 7i) + (8 − 6i) as (8 − 6i) + (3 + 7i)?

Which property allows you to write the expression [(3 + 7i) + (8 − 6i)] + (1+ 9i) as (3 + 7i) + [(8 − 6i) + (1 + 9i)]?

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

The sum of (3 - 5i) + (-2 + 8i) is .

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What is the real part of the difference?

What is the imaginary part of the difference? i