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1、14411C01.pgs8/12/081:46PMPage1CHAPTER1THEINTEGERSIngolftournaments,aplayer’sstandingaftereachCHAPTERholeisoftenrecordedontheleaderboardasthenum-TABLEOFCONTENTSberofstrokesaboveorbelowastandardforthathole1-1WholeNumbers,Integers,calledapar.Aplayer’sstandingisapositivenumberifand
2、theNumberLinethenumberofstrokesusedwasgreaterthanparand1-2WritingandSolvingNumberanegativenumberifthenumberofstrokesusedwasSentenceslessthanpar.Forexample,ifparforthefirstholeis41-3AddingPolynomialsstrokesandaplayerusesonly3,theplayer’sstanding1-4SolvingAbsoluteValueafterplayin
3、gthefirstholeis21.EquationsandInequalitiesRosieBarbiisplayinginanamateurtournament.1-5MultiplyingPolynomialsHerstandingisrecordedas2belowpar(22)aftersix-1-6FactoringPolynomialsteenholes.Sheshoots2belowparontheseventeenth1-7QuadraticEquationswithholeand1aboveparontheeighteenth.W
4、hatisIntegralRootsRosie’sstandingaftereighteenholes?NancyTaylor,1-8QuadraticInequalitieswhoisherclosestopponent,hasastandingof1belowChapterSummarypar(21)aftersixteenholes,shoots1belowparontheseventeenthholeand1belowparontheeigh-Vocabularyteenth.WhatisNancy’sstandingaftereightee
5、nholes?ReviewExercisesInthischapter,wewillreviewthesetofintegersandthewayinwhichtheintegersareusedinalgebraicexpressions,equations,andinequalities.114411C01.pgs8/12/081:46PMPage22TheIntegers1-1WHOLENUMBERS,INTEGERS,ANDTHENUMBERLINEThefirstnumbersthatwelearnedaschildrenandprobab
6、lythefirstnumbersusedbyhumankindarethenaturalnumbers.Mostofusbeganourjourneyofdiscoveryofthemathematicalworldbycounting,theprocessthatlists,inorder,thenamesofthenaturalnumbersorthecountingnumbers.Whenwecombinethenaturalnumberswiththenumber0,weformthesetofwholenumbers:{0,1,2,3,4
7、,5,6,...}Thesenumberscanbedisplayedaspointsonthenumberline:0123456789Thenumberlineshowsustheorderofthewholenumbers;5istotherightof2onthenumberlinebecause52,and3istotheleftof8onthenumberlinebecause38.Thenumber0isthesmallestwholenumber.Thereisnolarg-estwholenumber.Thetemperatur
8、eonawinterdaymaybetwodegreesabovezeroortwodegreesbelow