In Exercises 1–8, add or subtract as indicated and write the r...

Question

In Exercises 1–8, add or subtract as indicated and write the result in standard form. 8i − (14 − 9i)

Accepted Answer

Welcome back. Everyone in this problem. We want to subtract 90 minus five I from 11 I and express our answer in standard form for complex numbers. For our answer choices, A is negative 19 plus 16. IB is 19 plus six. IC is 19 plus 16. I and D is negative 19 minus 16. I no. What do we want to know? We want to calculate what's going on here or, or our expression and write our answer in standard form and recall that the standard form for complex numbers is when a complex number is written in the form A plus B I where A is the real part and B is the imaginary part. So since we have 11 I minus 19 minus five, I let's go ahead and simplify and then ensure that it's in standard form. No, I am subtracting 19 and negative five I from 11 I. So my that would be minus 19 and minus negative five. I would become plus five. I combining the light terms 11 I plus five, I equals 16. I and we write back our real part negative 19. So no, we have simplified but is it in the standard form. Well, here, notice we have the imaginary part coming first. So we need to rewrite it in standard form. So in standard form, the real part comes first and then the imaginary. So in standard form, it would be written as negative 19 plus 16. I no, when we look at our answer choices that would have been answer choice. A thanks a lot for watching everyone. I hope this video helped.

In Exercises 1–8, add or subtract as indicated and write the result in standard form. 8i − (14 − 9i)

Key Concepts

Complex Numbers and Standard Form

Addition and Subtraction of Complex Numbers

Distributive Property in Algebra

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