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

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