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Complex Numbers - Definition • The number i is given by: i 1 • We can also write the following: i 2 1 • Numbers in the form of bi, where b is a real number, are called Pure Imaginary Numbers. • Another definition regarding imaginary numbers is as follows. a i a where a is a real number • Example 1: Simplify: 12 12 i 12 i 4 3 2i 3 • Example 2: 8 14 Determine the product: 8 14 i 8 i 14 i 2 8 14 (1) 2 2 2 2 7 4 7 • A complex number is given by… a bi where a and b are real numbers. • Example 3: All of the following are complex numbers: 3 5i 2i 7 • Example 4: Put the complex number in standard a+bi form. 7 9 7 9 7 i 9 7 3i • When a radical is involved, the i usually precedes the radical, to make it clear the i is not under the radical. • Example 5: 5 2 3i would be written as … 5 2i 3