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1、December27,2009VersionDavidA.SANTOSdsantos@ccp.eduFreetophotocopyanddistributeiiCopyright©2007DavidAnthonySANTOS.Permissionisgrantedtocopy,distributeand/ormodifythisdocumentunderthetermsoftheGNUFreeDocumentationLicense,Version1.2oranylaterversionpublishedbytheFreeSoftwareFoun
2、dation;withnoInvariantSections,noFront-CoverTexts,andnoBack-CoverTexts.AcopyofthelicenseisincludedinthesectionentitledGNUFreeDocumentationLicense.iiiTotheReaderv15MultiplicationandDivisionofFractions7316RatioandProportion77ISets11SetsandInclusion-Exclusion2VDecimals802Inclusi
3、on-Exclusion517Decimals8118Addition,Subtraction,andMultiplication90IISymbols719Division923TheNecessityofSymbols*8VIRealNumbers974PositionalNotation1220Integers:AdditionandSubtraction985SymbolicalExpression1921Integers:MultiplicationandDivision10322RationalNumbers105IIITheNatu
4、ralNumbers2223IrrationalNumbers1076AdditionandSubtraction23AMultiple-ChoiceExamQuestions1097ArithmeticProgressions34BEssayExamQuestions1288Multiplication37CAnswersandHints1309PrimesandFactorisation44AnswersandHints..................13010Division50GNUFreeDocumentationLicense15
5、21.APPLICABILITYANDDEFINITIONS......15211LongDivision552.VERBATIMCOPYING...............1523.COPYINGINQUANTITY.............15212RootsandGeometricProgressions614.MODIFICATIONS..................1525.COMBININGDOCUMENTS...........153IVFractions636.COLLECTIONSOFDOCUMENTS.......1537
6、.AGGREGATIONWITHINDEPENDENTWORKS15313Fractions648.TRANSLATION...................1539.TERMINATION...................15314AdditionandSubtractionofFractions7010.FUTUREREVISIONSOFTHISLICENSE..153PrefaceMathematicsknowsnoracesorgeographicboundaries;formathematics,theculturalworldi
7、sonecountry.-DavidHILBERTIwouldliketothankEleonoraChertok,WimayraLuy,andAlainSchremmerfortheirinput.IwouldliketothankthestudentswhofirsttestedthesenotesintheSpringof2008:ComfortAdemuwagun,TakiraAdkins,RoxanDelisi,HaiDo,JanieDrayton,JacquelinFulton,SeanHorton,FatimahJohnson,Wak
8、eelahLloyd,AshleyMangum,InmaculadaMartinez,RubenMedacier,LesliePierr
