什么是无理数和有理数_什么是无理数和有理数

themystyerofpiπ：非理性的number？itisseysobviousthtatistististististisproventobeirrationalnumberbybymathematicers，andprobroffoorProcessisnoteXtremelyComplecatient。 Forthose感兴趣的是AsimplesearchCangettheanswer，Soiwon'tgointodetailshere。 因此，由于πhasbeenfirmedasanirrationalNumber，itmustbeanirrationalnumber，Notarationalnumber！但是，许多pepeopleaplearstillconfusedaboutthaboutthaboutthaboutthatisthatπisanirrationalNumber。 inmathematicalDefinition，πis...

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πisanirrationalNumber，andthecircumferencirofacircleshouldboybeanirrationalnumber，哪些含义thatthatthecircumferencyofthecirclecleclecnotbeanteger？ 这是不可能的，Andyoucan'tMeasureit。 AsIsaidjustnow,oncethemeasurementisimplemented,themathematicalconceptwillrisetothephysicalbehaviorinreality!Finally,Iwouldliketoemphasizethatyoushouldnotlookatirrationalnumberswith"coloredglasses".Irrationalnumbersandrationalnumbersare/b>Equal,rationalnumberscandothingsthatarepossible,andunreasonablenumberscanalsodo!Pointsonanumberaxisshouldnotbetreateddifferently,thisdoesnot...

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Popularknowledge:Isitpossiblethatpiπisnotanirrationalnumberatall?Thereisnopossibility!Thereasonisverysimple.Mathematicianshavelongprovedthatπisindeedanirrationalnumber,andtheproofprocessisnottoocomplicated.Iwillnotexplainitindetailhere. ifyouare感兴趣，youcanfindtheanswer！因此，自inithasbeenpreventhatπisanirrationalNumber，itisanirrationalNumber，anditcannotbearationalnumber！但是，ManypeoplefeplefelefelefelefelefelefelefeLaltittleConfusteLeconfusedboutπBeingbeinganirrationalNumberber。 inMASSATICS，πistheTioofthecircumFerenceTepthemeterofthecircle，andthecircumference...

πisanirrationalNumber，thatthatthecircumferenceofthecircleisalsalsalsalsalsalirrationalnumber。 摄取circurcumferencanexample，itmaybearationalnumberorevenaninteger。 想象中的脑倍侧aacircleis10/π，thenthecircumferenforofthecirissimply10，它是近视的。 但是，SomePeopleFeelunComfortableWhentheYencounterπ和TheywillQuestion："如何canthediameterofacirfaclebequaltoto10dividededbyπ？10/πisclear...

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pimeetsrationalnumbers：揭示了exterioustranstransformationinmmultiplication！ofcourse，itcanbecomearationalnumber.thesimplestπismultipliedby0，ibelievemanypememanypeoplethinkofthis。 InAdditionToZero，theremanynumbersthatmultiplywiththatmultiplywithbecomerationalnumbers，sutsas1/π，2/π.itcanbesaidthathathathathathathathathaththerearecountlesssuchnumers！ thensomemightaskthatmultiplyingπbanationalnationnumbercanbecome...

wonderfulencounterbetbetnewnumbers：theSsteriousTransformationinmmultiplicationsrevealed！当然，itcanbecomealationalnumber，speastheSthesimplestπmultipliedby0。 ibelievemanypeoplehavealreadythoughthis。 Infact，InadditionToZero，therearemanyothernumbersthatmultiplywithπcanalsogeneratorationalNumbers，sutsas1/π，2/π，2/π，andcountless-suchsuchnumbers。 显然，πitsanirrationalNumber，soitsreciprocal1/πisalsoanirrationalNumber。 然后，OnemightAsk：IfmultiplyingπBoarableable...

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1/3equals0.333循环，1-米特·斯特列夫德塞intothreeequalparts？inthevastworldofmathematics，realnumbershaveclearclecleclecleclecleclecleclasications，哪个CanbesubdividedIrdivedIrdIvedIdivedIrdIntIntOrtorcationNumbersnumbersnumbersnumbersandirrationnumbersandirratirrationnumbersandirratirrationnumbersandirratirrationnumbersancenareareareareararefromtheyaremberaxiss。 每个人之间的关联。 然而，人们对"非理性名单"的概念的态度seemstohavesomedeviationsthebebenning。 Weoftensubcnickthinkthatirrationnumbersare"不合理"数字。 但是，事实，有理numbersandirrationnumbersaresensions...

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Cana1-meterlongropebedividedintothreeparts?Analyzethemysteryof1/3ofthemystery,peoplewilldevelopanindescribable"discrimination"mentality,asifirrationalnumbersarereally"unreasonable"astheirname,andThesimplethreewords"irrationalnumber"reallyobscuresthelightofrationalityofmanypeople!Infact,irrationalnumbersarenot"unreasonable".Likerationalnumbers,theyareequalandordinaryrealexistences,andareunquestionablenumericalvalues. thylydifferencebetbetnirrationalnumbersandrationalnumbersisthathe...

Reveal:When1/3equals0.333cycle,canastickofonemeterbeperfectlydividedintothreeequalparts?Asweallknow,realnumbersinthemathematicalworldcanbesubdividedintorationalnumbersandirrationalnumbers,andtheyarewitheverypointonthenumberaxisCorrespondsonebyone. 但是，我们的"非理性名称"的启发性地从贝吉尼（Bebenning），且WeoftensubCondimclcconcymimprejudiceJudiceJudiceJudiceJudiceJudiceJudiceJudiceJudiceJudiceJudiceJudicejudiceimedimedimedinkthatirrationalnumbersare"不合理的"数字。 butInfact，有理numbersandirrationalnumbersareequaremequivalent.theyarearealnumbers，ter是的...

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Cana1-meterlongstickbeaccuratelydividedintothreeequalparts?Explorethemysteryofthe0.333cycle!Asweallknow,inthevastworldofmathematics,therealnumbersystemiscleverlydividedintotwocategories:rationalnumbersandirrationalnumbers,andeachcategoryofnumbersiscombinedwithEachuniquepositiononthenumberaxisiscloselyconnected. 然而，当要用"非理性非理性"时，aninaDvertentMissustandingsingseemstobequietlying。 人们对"非理性"，buttheydonotsknekthatinthelogicofmathematics，理性的numbersnumbersandirrationnumbersareboth...