# V. 11:14 (607-609): SIDEBAR: COMPLEX NUMBERS

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## Product Description

COMPLEX NUMBERS

To understand complex numbers we must first establish what real numbers are. The real number system contains all integers and all rational numbers, where rational numbers are all fractions r/s where r and s are integers and s NOT EQUALS 0.

The complex number system has the following properties:

1 The complex number system contains all real numbers.

2 The complex number system contains a number (usually denoted by i) such that i 2 = -1.

3 Every complex number can be written in the standard form a + bi, where a and b are real numbers and i 2 = -1.

The number i and multiples of i (such as bi) are typically referred to as imaginary numbers. Thus, the sum of a real number a and an imaginary number bi (a + bi) is known as a complex number.

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