IMAGINARY AND COMPLEX NUMBERSHigher Concepts of MathematicsSummaryThe important information from this chapter is summartized below.Imaginary and Complex Numbers SummaryImaginary NumberAn Imaginary number is the square root of a negative number.Complex NumberA complex number is any number that contains both a real and imaginaryterm.Addition and Subtraction of Complex NumbersAdd/subtract the real terms together, and add/subtract the imaginary termsof each complex number together. The result will be a complex number.Multiplication of Complex NumbersTreat each complex number as an algebraic term and multiply/divideusing rules of algebra. The result will be a complex number.Division of Complex Numbers• Put division in fraction form and multiply numerator and denominator bythe conjugate of the denominator.Rules of the Imaginary Number ii^{2}= (i)(i) = -1i^{3}= (i^{2})(i) = (-1)(i) = -ii^{4}= (i^{2})(i^{2}) = (-1)(-1) = +1MA-05 Page 16 Rev. 0

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