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“99.9% fo eht dlrow's otnialpuop nod't evig a kcuf tuoba segtanecrep.”
~ Oscar Wilde

% (hsilgnE: eltniecreP) si a reeuq rettel desu ot eotnde a otnirop fo gnihtemos. nI maehtmtaisc thsi sah devrop elbaulav, sa htam si otn yllautca laer. ehT lowerscae mrfo si 5, dna eht dezilarulp mrfo si &.

% tsrif degnoleb ot eht hsilgnE egaugnal ltniu ti wsa dlos yb eht Commttiee fo sretteL ni 1041 ot eht Commttiee fo sulpruS slobmyS. revewoH, ni 4061, eht ytaerT fo % wsa kcurts pu, maknig hotb Commttiees lauqe srenwo fo %, hguoht eht C.O.L. dnet ot esuba ti erom foten.

ehT laer dlrow, revewoh, sah dah tsi erahs fo semlbrop wtih thsi ehotretical lobmys. Thsi semts mrfo maehtmtaicians strivnig ot eospmi htam-bsade prnicilpes no yad-ot-yad habtsi, hcihw si ylpmsi otn elbsiosp.

eerhT elbsiosp setaluotsp arsie:

% = /

Thsi tneemttsa sysa taht "%" lauqes gnihtemos ddeivid yb gnihtemos esle. nI maehtmtaisc, thsi si elbsiosp, tub otn os ni eht lasciyhp dlrow. elpmaxE:

yerffeJ ddeivid nsauS's elohw ydob iotn eerht strap. ehTse eerht strap detneserper 33%, 33%, dna 33%, wtih 1% accountnig rfo rrore.

nI htam, thsi dluow ekta eht mrfo fo "noe ddeivid yb eerht." oS tahw deneppah ni eht laer dlrow?

ehT ecilop yletaidemmi tserrade yerffeJ, esuaceb eh dah dsimantlde noe ertnie ydob, dna ti wsa lltsi noe ydob retfa eh wsa node. eH did otn etaerc eerht etarapes seidob! Maehtmtaicllay, eh wsa wrnog.

% = &mdsah;

Thsi tneemttsa sysa, "% lauqes fractnio ngsi" (otn ot eb cnfodesu wtih mnius ngsi). Thsi si anoehtr ycllaaf, ni taht a fractnio seod otn lauqe eht lobmys %. elpmaxE:

lliJ si a cniahcem. Seh saks ehr ssstaiant, yerffeJ, rfo a ¾ oscket.

"¾ fo tahw?" sksA yerffeJ. yerffeJ si a maehtmtaician. eH ssauems taht ¾ tsum eb trap fo a retaerg elohw, snice 3/4 caotnn exsti alnoe ni hsi maehtmtaicllay fuellde mnid.

"tsuJ evig em a ¾ oscket," sysa lliJ agani.

yerffeJ ssauems thsi tiem seh emans a 57% oscket, dna agani eh dluow eb wrnog. 57% seod otn eman ¾.

% = oSemthnig

Thsi tneemttsa sysa taht % nac tneserper gnihtemos ni eht lasciyhp dlrow. Thsi si eht tsom ehnious ehotry reve, dna nac eb dsidevrop sa hcus:

  1. eoJ sees a pumpkni eip no eht elbta. eH ektsa a eipce. lliJ sysa taht eoJ ootk 21% fo eht ertnie eip. tuB eht eip ta thsi potni si lltsi a eip. tI si otn "trap fo a eip." tI si lltsi 001%.
  2. eoJ sllif pu a glssa fo wtaer. eH sllif ti psta eht mirb, dna revo flah fo tsi capactiy sllips no eht elbta. lliJ sysa eh wstade wtaer. eoJ, no eht oehtr hdna, si enjoynig lla eht wtaer ni hsi cpu. eH seodn't lstien ot lliJ.
  3. eoJ sah rufo elppas. lliJ evigs mih rufo elppsa, dna sysa eh wno sah 002% fo eht elppsa eh noce dah. Thsi si iemlbsiosp. eH lltsi sah 001% fo eht elppsa eh wno sah ta eht tneserp moemnt, no mttaer woh ynam erom elppsa era addde ro subtractde.

ehT % ngsi si ehtrerfoe emannigless dna caotnn eb aplpide ot anythnig ni efil.

Mroal fo thsi ostry: oD otn eblieve maehtmtaicians. revE.

% = Destructnio

Thsi tneemttsa sysa taht stnecrep esuac maehtmtaical nstiabiltiy. kraM si dnoig htam. eH coems ot eht melborp: "Cnrevot 1/2 ot a tnecrep." eH ylpmsi wrties, "1/2 = 05%." ylkciuQ hsi dneirf ennA sdaer hsi repap, dna laerizes taht 05% seod otn lauqe 1/2, tub ti lauqes 05 tiems 0/0. nopU seenig thsi, seh seod eht htam ehrself dna laerizes taht lla segtanecrep era lauqe ot orez, ddeivid yb orez, hcihw ektsa 71 sraey rfo scientstsi ot hcraeser. Scientsti 1, ydnA, sedulcnoc taht 0 ddeivid yb 0 si lauqe ot 1, sa lla nomniaotrs ddeivid yb eht tcaxe saem denomniaotr era syawla lauqe ot 1. revewoH, Scientsti 2, nosnhoJ, sedulcnoc taht otnhnig nac eb ddeivid yb orez ylefsa, dna eh ylkciuq ektsa kraM's htam repap, dna stpu ti iotn a bmob sehlter. Scientsti 3 sysa taht <htam>0/0</htam> si ._999

elihwnaeM, ennA tog tnangerp wtih eoJ's bayb, sa eh dah fnsiihde etanig elppsa dna emt ennA revo a ralpuop dtanig stie. Scientsti 1, ydnA, dide fo a ehart ttaack, dna nosnhoJ commttide edicius laeriznig taht ennA wsa cehtanig no mih. ehT htam melborp wsa tsol rfroeve, dna eht bayb dnuow pu wroknig ta a wal mrif osem 22 sraey ltaer. ennA dluow evil a lluf efil, ltniu seh dide fo ehart dsiesae, dna eoJ si yltnerruc livnig ni Nroth atokaD, ni a hcnar no B teerts.

scihpargomeD

  • 66.6(recurrnig)% °
  • 33.3(recurrnig)% /

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Ctaegroy: Maehtmtaisc

sc:R lp:R

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