N2 Boardworks_N4 Powers and roots.ppt
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N2 Boardworks_N4 Powers and roots.ppt

N2Boardworks_N4Powersandroots.ppt

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N4.1SquareandtriangularnumbersMakingtrianglesTriangularnumbersMakingsquaresSquarenumbersSquarenumbersAddingconsecutiveoddnumbersMakingsquarenumbersAddingconsecutivetriangularnumbersWecanmakesquarenumbersbyaddingtwoconsecutivetriangularnumbers.N4.2SquarerootsSquarerootsSquarerootsFindingthesquarerootistheinverseoffindingthesquare:Wecaneasilyfindthesquarerootofasquarenumber.TheproductoftwosquarenumbersUsingfactorstofindsquarerootsFindingsquarerootsofdecimalsIfanumbercannotbewrittenasaproductorquotientoftwosquarenumbersthenitssquarerootcannotbefoundexactly.EstimatingsquarerootsSupposeourcalculatordoesnothaveakey.6.332=NegativesquarerootsSquaresandsquarerootsfromagraphN4.3CubesandcuberootsCubesThenumbers1,8,27,64,and125arecalled:CubesandcuberootsCuberootsSquares,cubesandrootsN4.4PowersIndexnotationEvaluatethefollowing:CalculatingpowersThefirstindexlawThesecondindexlawZeroindicesNegativeindicesUsingalgebraUsingindexlaws