3 3 complex numbers homework

Enjoy these free printable sheets focusing on the complex and imaginary numbers, typically covered unit in Algebra 2. Each worksheet has model problems worked out step by step, practice problems, as well as challenge questions at the sheets end. Plus each one comes with an answer key.

A complex number is expressed in standard form when written a + bi where a is the real part and bi is the imaginary part. For example, 5 + 2i is a complex number. So, too, is 3 + 4√3i. Imaginary numbers are distinguished from real numbers because a squared imaginary number produces a negative real number.

Plot the complex number 3 − 4i on the complex plane. The real part of the complex number is 3, and the imaginary part is −4i. We plot the ordered pair (3, −4) as shown in Figure 3. Plot the complex number −4 − i on the complex plane.

To add or subtract complex numbers, we combine the real parts and combine the imaginary parts. Given two complex numbers, find the sum or difference. Identify the real and imaginary parts of each number. Add or subtract the real parts. Add or subtract the imaginary parts. Add 3 − 4i and 2 + 5i. We add the real parts and add the imaginary parts.