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1、MathematicalConventionsfortheQuantitativeReasoning®MeasureoftheGRErevisedGeneralTestwww.ets.orgOverviewThemathematicalsymbolsandterminologyusedintheQuantitativeReasoningmeasureofthetestareconventionalatthehighschoollevel,andmostoftheseappearintheMathReview.Whenevernonstandardorspeci
2、alnotationorterminologyisusedinatestquestion,itisexplicitlyintroducedinthequestion.However,therearesomeparticularassumptionsaboutnumbersandgeometricfiguresthataremadethroughoutthetest.TheseassumptionsappearinthetestatthebeginningoftheQuantitativeReasoningsections,andtheyareelaborate
3、dbelow.Also,somenotationandterminology,whilestandardatthehighschoollevelinmanycountries,maybedifferentfromthoseusedinothercountriesorfromthoseusedathigherorlowerlevelsofmathematics.Suchnotationandterminologyareclarifiedbelow.Becauseitisimpossibletoascertainwhichnotationandterminolog
4、yshouldbeclarifiedforanindividualtesttaker,morematerialthannecessarymaybeincluded.Finally,therearesomeguidelinesforhowcertaininformationgivenintestquestionsshouldbeinterpretedandusedinthecontextofansweringthequestions—informationsuchascertainwords,phrases,quantities,mathematicalexpr
5、essions,anddisplaysofdata.Theseguidelinesappearattheend.Copyright©2012byEducationalTestingService.Allrightsreserved.ETS,theETSlogo,LISTENING.LEARNING.LEADING.andGREareregisteredtrademarksofEducationalTestingService(ETS).Numbersandquantities•Allnumbersusedinthetestquestionsarerealnum
6、bers.Inparticular,integersandbothrationalandirrationalnumbersaretobeconsidered,butimaginarynumbersarenot.Thisisthemainassumptionregardingnumbers.Also,allquantitiesarerealnumbers,althoughquantitiesmayinvolveunitsofmeasurement.•Numbersareexpressedinbase10unlessotherwisenoted,usingthe1
7、0digits0through9andaperiodtotherightoftheonesdigit,orunitsdigit,forthedecimalpoint.Also,innumbersthatare1,000orgreater,commasareusedtoseparategroupsofthreedigitstotheleftofthedecimalpoint.•Whenapositiveintegerisdescribedbythenumberofitsdigits,e.g.,atwo-digitinteger,thedigitsthatarec
8、ountedincludetheone
