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1、Publishedin2011byBritannicaEducationalPublishing(atrademarkofEncyclopædiaBritannica,Inc.)inassociationwithRosenEducationalServices,LLC29East21stStreet,NewYork,NY10010.Copyright©2011EncyclopædiaBritannica,Inc.Britannica,EncyclopædiaBritannica,andtheThistlelogoareregistered
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3、e(800)237-9932.FirstEditionBritannicaEducationalPublishingMichaelI.Levy:ExecutiveEditorJ.E.Luebering:SeniorManagerMarilynL.Barton:SeniorCoordinator,ProductionControlStevenBosco:Director,EditorialTechnologiesLisaS.Braucher:SeniorProducerandDataEditorYvetteCharboneau:Senior
4、CopyEditorKathyNakamura:Manager,MediaAcquisitionWilliamL.Hosch:AssociateEditor,MathematicsandComputerSciencesRosenEducationalServicesAlexandraHanson-Harding:SeniorEditorNelsonSá:ArtDirectorCindyReiman:PhotographyManagerMatthewCauli:Designer,CoverDesignIntroductionbySeanD.
5、McCollumLibraryofCongressCataloging-in-PublicationDataTheBritannicaguidetonumbersandmeasurement/editedbyWilliamL.Hosch.—1sted.p.cm.—(Mathexplained)“InassociationwithBritannicaEducationalPublishing,RosenEducationalServices.”Includesbibliographicalreferencesandindex.ISBN978
6、-1-61530-218-5(eBook)1.Numbertheory—History.2.Settheory—History.I.Hosch,WilliamL.QA241.B78852010512.7—dc222009044217Cover©www.istockphoto.com/TommasoColia;page12©www.istockphoto.com/JiriMoucka;pages21,97,150,201,230,237,271,274,278©www.istockphoto.com/NorebboOnpage20:This
7、engravingshowstheExchequeratWestminster(England)duringthereignofKingHenryVII(1485–1509).TheExchequer,ortreasurydepartment,creatednewstandardsofmeasurementsformerchantsinthelate15thcentury.SSPLviaGettyImagesContents25Introduction12Chapter1:Numbers21NumeralsandNumeralSystem
8、s22NumberBases22NumeralSystems24SimpleGroupingSystems24MultiplicativeGroupingSystems30CipheredNu