ComplexNumbers-TaosMunicipalSchools310Camino…54个复数陶斯市的学校310卡米诺…

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1、5.4ComplexNumbers(p.272)ImaginaryUnitUntilnow,youhavealwaysbeentoldthatyoucan’ttakethesquarerootofanegativenumber.Ifyouuseimaginaryunits,youcan!Theimaginaryunitis¡.¡=Itisusedtowritethesquarerootofanegativenumber.PropertyofthesquarerootofnegativenumbersIfrisapositi

2、verealnumber,thenExamples:*Forlargerexponents,dividetheexponentby4,thenusetheremainderasyourexponentinstead.Example:ExamplesComplexNumbersAcomplexnumberhasarealpart&animaginarypart.Standardformis:RealpartImaginarypartExample:5+4iTheComplexplaneImaginaryAxisRealAxis

3、GraphinginthecomplexplaneAddingandSubtracting(addorsubtracttherealparts,thenaddorsubtracttheimaginaryparts)Ex:Ex:Ex:MultiplyingTreatthei’slikevariables,thenchangeanythatarenottothefirstpowerEx:Ex:AbsoluteValueofaComplexNumberThedistancethecomplexnumberisfromtheor

4、iginonthecomplexplane.Ifyouhaveacomplexnumbertheabsolutevaluecanbefoundusing:Examples1.2.Whichofthese2complexnumbersisclosesttotheorigin?-2+5iAssignment