1310-Notes-Sec-24 - Math 1310 Section 2.4 An Introduction...

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Math 1310 Section 2.4 An Introduction to Complex Numbers A complex number is a number that can be written in the form bi a where a and b are real numbers and . 1 2 - = i We call the number a the real part and we call the number b the imaginary part. If a = 0, the complex number is called a pure imaginary number. Any real number can be written as a complex number with b = 0. First, you’ll need to be able to classify numbers as real, complex or both. Example 1: Identify each of these numbers as real, complex or both: a. i 2 4 b. c. 36 d. Identify the real part and the imaginary part Example 2: Write in the form bi a and state the real part and the imaginary part. - 7 - 5 a. 2 7 4 b. 9 5 - c. 12 i -
Math 1310 Class Notes – Section 2.4, Page 1 of 6
Math 1310 Class Notes – Section 2.4, Page 2 of 6 Next, you’ll need to be able to find various powers of i . You’ll need to know these 4 powers: i 1 1 * 1 * * 1 * 1 2 2 4 2 3 2 = - - = = - = - = = - = i i i i i i i i i For other powers of i , divide the exponent by 4 and find the remainder. Your answer will be i

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