Chapter 3 Summary and Review

Study Guide

Key Terms and Concepts Example
Section 3.1: The Complex Numbers

The number i is defined such that i=−1 and i2=−1.

Express each number in terms of i.

−5=−15=−15=i5, or 5i;

A complex number is a number of the form a+bi, where a and b are real numbers. The number a is said to be the real part of a+bi, and the number b is said to be the imaginary part of a+bi. To add or subtract complex numbers, we add or subtract the real parts, and we add or subtract the imaginary parts.

Add or subtract.


When we multiply complex numbers, we must keep in mind the fact that i2=−1.

Note that abab when a and ...

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