UkubunjwaImfundo Secondary nezikolo

Needesimali eziqhelekileyo kunye nemisebenzi kunye nabo

Sele kwisikolo samabanga aphantsi, abafundi ezijongene ngamaqhezu. Kwaye ngoko ke kuvela isihloko ngasinye. Libala isenzo ngala manani akunakwenzeka. Ngoko kuyimfuneko ukuba wazi zonke ulwazi malunga namaqhezu aqhelekileyo kunye wokugqibela. La magama zilula, eyona nto ibalulekileyo - ukuqonda yonke into ukuze.

Kutheni amaqhezu?

Ihlabathi esiphila iqulathe izinto yonke. Ngoko, kwi olinganise ezifunekayo. Kodwa ubomi bemihla ngemihla usoloko utsalo abantu ukuba basebenze kunye namalungu zezinto kunye nezinto.

Umzekelo, itshokolethi ubunjwe cloves ezininzi. Cinga ngemeko apho ukhandwa iingxande iithayile elinambini. Ukuba lohlulwe kabini, ufumana amaqhekeza 6. Lohlulwe kakuhle ezintathu. Kodwa amahlanu akayi kuba nako ukuya kwinani izilayi chocolate.

Hi ndlela leyi, ezi ziqwempu - esele shot. Kukhutshwe ukwahlukana kwabo bangela amanani ezimbaxa ngakumbi.

Yintoni i "umqulu"?

Eli nani ubunjwe kwezahlulo yunithi. Ngaphandle, kubonakala njengoko amanani amabini ezahlulwe sisithuba isleshi okanye zilaliswe. Olu phawu kuthiwa iqhezu. Inombolo ebhalwe phezulu (ekhohlo), ubizwa ngokuba elingezantsi. Yintoni emi emazantsi (ekunene), oko elingezantsi.

Enyanisweni, umgca iqhezu i luphawu sisahlula. Oko kukuthi, elingezantsi ekunokuthiwa nomahlulwa, kunye nenani - ehlukanisayo.

Yintoni amaqhezu?

Kwimathematika, kuba iindidi ezimbini kuphela: abaqhelekileyo needesimali. Xa abafundi yokuqala ebiqaliswe kumabanga aphantsi, embiza kubo "shot." ukufunda yesibini kwibanga-5. Naso xa kuvela ezi amagama.

amaqhezu aqhelekileyo - bonke abo ebhalwe njengoko amanani amabini ezahlulwe sisithuba a dash. Ngokomzekelo, 4/7. Decimal - inani apho isahlulo iqhezu irekhodi ngokokuma kwaye abazahlulayo ukusuka lonke ikhefu. Ngokomzekelo, 4.7. Abafundi kufuneka baqonde kakuhle ukuba le mizekelo mibini - yinto linani eyahlukileyo ngokupheleleyo.

Yonke iqhekeza elula angabhalwa njenge lokugqibela. Le ngxelo phantse usoloko umva. Kukho imithetho ukuvumela ukuba ubhale iqhezu eliqhelekileyo iqhezu wokugqibela.

Ziziphi zenyathi babe ezi ntlobo maqhezu?

Kulungile ukuqala ngokulandelelanayo, njengoko zibhekiswa bafunda. Lokuqala ukuya amaqhezu eziqhelekileyo. Phakathi kwazo kukho 5 ohlobo.

  1. Lungisa. njalo kwinani layo lingaphantsi kwe elingezantsi.

  2. Engalunganga. Yena kwinani inkulu kune okanye ilingana ne elingezantsi.

  3. Contractility / irreducible. Kunokuba ibe zombini ezichanekileyo akachanekanga. Yintoni na kubaluleke ngakumbi, nokuba kwinani ukuya nenani izinto eziqhelekileyo. Ukuba kukho, ngoko bathembela yahlula macala iqhezu, oko kukuthi, ukunciphisa kuyo.

  4. Mixed. Ukuze ezichanekileyo (engalunganga) inxalenye yakhe ukusoloko iqhezu zibangelwe elipheleleyo. Kwaye kusoloko ngasekhohlo.

  5. Component. Oku kuyilwa kwe amaqhezu amabini ezahlulwe ngayo enye kwenye. Oko kukuthi, iye slashes nje ezintathu.

Thina needesimali zenyathi ezimbini kuphela:

  • ekupheleni, ngamanye omnye apho isahlulo iqhezu inomda (uyaphela);

  • engenasiphelo - inombolo leyo lokugqibela ndawo ayipheli (uyakwazi ukubhala ngonaphakade).

Indlela ukuguqula i lokugqibela ukuya inhlamba?

Ukuba inani anesiphelo, ngoko sebenzisa umbutho esekelwe kwi-mthetho - ndivayo, ndenjenjalo ukubhala. Oko kukuthi, kufuneka ukufunda nokubhala kakuhle, kodwa ngaphandle indawo enedesimali, uze isleshi.

Njengoko kuyalelwa ukuba elingezantsi, simele sikhumbule ukuba kusoloko kunto ezinye zero. Imfuno yokugqibela ukubhala amanani amaninzi apha inxalenye iqhezu inani echaphazelekayo.

Indlela ukuguqula needesimali libe zizabelo eqhelekileyo ukuba inxalenye elipheleleyo ilahlekile, kukho zero? Umzekelo, 0.9 okanye 0.05. Emva ukusebenzisa lo mthetho, kuvela ukuba kufuneka ukuba ubhale inqaku zero. Kodwa alukhankanywanga. Kuhleli ukuba kubhalwe iinxalenye fraction kuphela. Inani lokuqala elingezantsi ulingana no-10, owesibini - 100. Oko kukuthi, le mizekelo iya kuba inani yokuphendula: 9/10, 5/100. Le yokugqibela ujika kufuneka licuthwe ngama-5 Ngoko ke, umphumo kuba ukuba kubhalwe 1/20.

Bobabini ukusuka wokugqibela ukwenza eziqhelekileyo, ukuba inxalenye elipheleleyo yahlukile zero? Umzekelo, 5.23 okanye 13,00108. Kuzo zombini imizekelo, inxalenye elipheleleyo kufundwa kunye nexabiso layo kubhalwe. Kwimeko yokuqala - 5, elinesibini - 13. Ngoko ke kufuneka ukuba ugqithele inxalenye iqhezu. Bathembela ukuqhuba efanayo. Inani lokuqala ivela 23/100, owesibini - 108/100000. Ixabiso yesibini kufuneka lincitshiswe kwakhona. Impendulo sifumana loo amaqhezu engumxube 5 23/100 13 27/25000.

Indlela ukuguqulela i wokugqibela engenasiphelo ngazo?

Ukuba non-ngamaxesha, oko akuyi kuba lula ukwenza umsebenzi onjalo. Le nyaniso kungenxa yokuba iqhezu ngalunye wokugqibela usoloko iguqulelwe okanye isiphelo okanye ngamaxesha athile.

Inye kuphela into kuvunyelwa ukuba enze le shot - ukuba ulisondelisa. Kodwa ke kwesishumi kuba malunga esilingana obungenasiphelo. It sele inokujikwa ibe izabelo eziqhelekileyo. Kodwa inqubo: ezidluliselwayo lokugqibela - ungaze ixabiso lokuqala. Oko kukuthi, iincindi ongenasiphelo non-ngamaxesha esifana nje ukuguqulelwa. Kuyimfuneko ukuba ukukhumbula.

Indlela ukubhala iqhezu ngamaxesha ongapheliyo ngohlobo zesiqhelo?

Kula manani emva kwesishumi lusoloko luvela digits enye okanye ngaphezulu koko phinda. Zibizwa ngokuba xesha. Umzekelo, 0.3 (3). Apha, i "3" kwixesha. Baya kuba iklasi ka obengo, kuba inokujikwa ibe namaqhezu aqhelekileyo.

Abo wadibana ngamaqhezu ngamaxesha, kuyaziwa ukuba msulwa okanye oxutyiweyo. Kwimeko yokuqala, ixesha iqala lasekunene kwesishumi. Kule yesibini - inxalenye iqhezu iqala naziphi amanani uze uphinde iqala.

Umthetho ekufuneka ubhalwe ngendlela nakwiqhezu lokugqibela eqhelekileyo ongapheliyo, kuya kwahluka ngenxa iintlobo ezimbini amanani. iqhekeza Net periodic zivutha nje abaqhelekileyo. Njengoko isiphelo, kufuneka ukuguqula kubo: kwinani kwethuba komtshiso, kunye nenani elingaphezulu linani 9, apho phindwa amaxesha amaninzi kangangoko amanani ziqulathe xesha.

Umzekelo, 0 (5). Inani lilonke ukusuka apho, ngoko ke kufuneka ukuba uqale iqhezu. Elingezantsi irekhodi 5 njengoko kwinani a 9. Oko kukuthi, impendulo iqhezu 5/9.

Ulawulo kubhala njani ngamaxesha iqhekeza zesiqhelo lokugqibela, ngoku zidibene.

  • Bala of fraction ukuya xesha. Baya kubonisa inani amaqanda kwinani elingaphezulu.

  • Jonga ubude bexesha. 9 Kuya kuba kangaka elingezantsi.

  • Rekhoda zifana: abasithoba yokuqala, ngoko amaqanda.

  • Ukuze ubone elingezantsi, kuyimfuneko ukuba kurekhodwe umahluko phakathi kwala manani mabini. Ucutho zonke manharhu emva indawo enedesimali, kunye nexesha. Itsalelwa - kuba akukho xesha.

Umzekelo, 0,5 (8) - ubhale iqhezu wokugqibela ngamaxesha ngohlobo zesiqhelo. Inxalenye fraction yethuba phambi kukho umfanekiso mnye. Iqanda lithetha ukuba kuya kuba mnye. Kwangaxesha nye, kuphela inani elinye - 8. Leyo ezisithoba mnye. Oko kukuthi, kwinani elingaphezulu ukubhala 90.

Ukuze ubone elingaphezulu kwe-58 kuyimfuneko ukuthabatha u-5 ajike 53. Impendulo umzekelo kuya kufuneka ukuba ubhale phantsi 53/90.

Indlela ukuguqulela amaqhezu aqhelekileyo ziidesimali?

Le ndlela ilula linani, apho kwinani linani-10, 100 njalo njalo. Ngoko nedinomineyitha ezilahliweyo nje, kodwa phakathi wonke kunye namalungu iqhezu isiphumlisi.

Kukho iimeko apho nedinomineyitha ifumaneka lula atshintshelwe-10, 100 njalo njalo. D. Umzekelo, amanani-5, 20, 25. Baya banda ngokwaneleyo ngo-2, 5 no-4, ngokulandelelana kwazo. phinda nje uxhomekeke elingezantsi nje kuphela, kodwa elingaphezulu ngenani elifanayo.

Kuzo zonke ezinye iimeko umthetho osebenzayo ezilula: yahlula inani yi elingezantsi. sokuzalwa okanye periodic iqhekeza wokugqibela: Kulo mzekelo, iinguqulelo ezimbini iimpendulo zingaphendula.

Iintshukumo kunye namaqhezu

Ukudibanisa nokuthabatha

Nabo, abafundi baziswa phambi kwabanye. Yaye yokuqala amaqhezu nedinomineyitha, uze ezahlukeneyo. imithetho jikelele kungancitshiswa ukuya sicwangciso.

  1. Fumana multiple ubuncinane oqhelekileyo idominetha.

  2. Bhala phantsi izinto ezongezelelweyo eziqhelekileyo bonke amaqhezu.

  3. Phindaphinda amanani kunye kumanani-ezithile ezi zinto.

  4. Songa (thabatha) elingezantsi kunye nenani lilonke kuhlala ingatshintshanga.

  5. Ukuba kwinani lingaphantsi kwe-itsalelwa yancitshiswa, ngoko ke kufuneka ufumanise phambi kwethu inani ezahlukeneyo okanye iqhezu efanelekileyo.

  6. Kwimeko yokuqala, lonke imfuneko ukuthatha omnye. Ukongeza kwinani elingezantsi. Kwaye ngoko enze nokuthabatha.

  7. Kule yesibini - kuyimfuneko ukusebenzisa ulawulo ukukhupha inani elincinci emikhulu. Oko sisuswe lomnqongo ukuthabatha nokuncipha modulus, kwaye ephendula, ubeke uphawu "-".

  8. Xa lujongisiswa kakuhle ngesiphumo Ukongeza (khupha). Ukuba ufumana i-shot ephosakeleyo, ngoko ungakhetha iqela elipheleleyo. Loo nto ukwahlula inani yi elingezantsi.

Phinda nokwahlula-hlula

Kuba iqhezu intsebenzo yabo akuyomfuneko ukuba ikhokelele zifana. Oku lula ukuphunyezwa isenzo. Kodwa zisaxhomekeke ukulandela imigaqo.

  1. Xa ukuphinda-amaqhekeza kuyimfuneko ukuba siqwalasele inani elingezantsi kunye nenani eliphantsi. Ukuba njengenani eliphezulu nenani eliphantsi babe common factor, uyakwazi kunqunyulwa.

  2. Phindaphinda amanani.

  3. Phindaphinda amanani aphantsi.

  4. Ukuba wajika iqhekeza cancellative, izakuthatwa lula kwakhona.

  5. Xa usahlula, kufuneka kuqala indawo hlula ngo-phindo, linokwahlulwa (shot yesibini) - shot ngasemva (ukutshintsha elingezantsi kunye nenani).

  6. Emva koko ukuqhubeka njengokuba-phinda (ukusuka kwinyathelo 1).

  7. Imisebenzi apho phinda (yahlula) kufuneka ibe inani elipheleleyo, ngelakamva lixhomekeke ebhalwe njengengxenye engafanelekanga. Oko kukuthi, kunye nedinomineyitha 1. ke qhubeka njengoko kuchaziwe apha ngasentla.

Nezenzo idesimali

Ukudibanisa nokuthabatha

Kakade ke, ungasoloko ukuguqula i lokugqibela ukuya iqhezu inhlamba. Kwaye benze kwisicwangciso sele ichaziwe. Kodwa ngamanye amaxesha lula ngakumbi ukuba zisebenze ngaphandle kule kudluliselwa. Ngoko ke imithetho zokudibanisa nokuthabatha abafana ncakasana.

  1. Alinganayo inani lamasuntswana kwi inxalenye iqhezu inani, oko kukuthi, emva kwesishumi. Mnikeni awunazo inani amaqanda.

  2. Rekhoda iqhekeza ukuze isiphumlisi waba isiphumlisi.

  3. Songa (sisuswe) njengoko amanani zendalo.

  4. Phathani ikhefu.

Phinda nokwahlula-hlula

Kubalulekile ukuba akukho mfuneko yokuba isibuzi amaqanda. Amaqhezu bekufanele kusalisa kuhlobo bunikezelwa umzekelo. Ke ngoko hamba ngokwesicwangciso.

  1. Kuba phinda amaqhezu ukuba abhale enye ezantsi kwenye, akanikeli ngqalelo le zocaphulo.

  2. Ubandisile ke amanani emvelo.

  3. Beka isiphumlisi impendulo ukusuka kwisiphelo impendulo njengamanani ezininzi njengoko kufuneka abe amaqhezu zombini zinto.

  4. Ukuze zahlule, kufuneka kuqala ukuguqula, umahluli: ukwenza inani yendalo. Oko kukuthi, phinda ngo-10, 100, njalo njalo. E., Kuxhomekeka inani lamasuntswana kwi inxalenye iqhezu le ehlukanisayo.

  5. efanayo Inani liphindaphindwe yi tivi.

  6. Yahlula lokugqibela ngu linani yendalo.

  7. Beka isiphumlisi impendulo ngexesha xa ekupheleni candelo lonke.

Kuthekani ukuba kwakuloo mzekelo, kukho iintlobo ezimbini maqhezu?

Ewe kwizibalo, ngeziganeko rhoqo apho ufuna ukwenza iintshukumo kwi eziqhelekileyo ngenani leshumi. Kule misebenzi, kukho izisombululo ezibini. Kuyimfuneko ukuba cala ubunzima amanani uze ukhethe esihle.

Indlela lokuqala: cinga lokugqibela eqhelekileyo

Kufanelekile ukuba xa ukwahlulwa okanye ukutshintshwa amaqhezu zokugqibela ifunyenwe. Ukuba inani ubuncinane omnye unika inxalenye ngamaxesha athile, le ndlela isetyenziswa akuvumelekanga. Ngoko ke, nokuba ukuba ngaba ungathanda ukusebenza kunye namaqhezu, kubalulekile ukuqwalasela kubo.

Indlela yesibini: ukubhala ziidesimali eziqhelekileyo

Le ndlela Kuyinto elula ukuba inxalenye emva kwekoma kukho amanani 1-2. Ukuba kukho ngaphezulu, usenokuba ube elikhulu kakhulu namaqhezu aqhelekileyo kunye amangenelo wokugqibela ukuvumela ukuba babale umsebenzi ngokukhawuleza kwaye kube lula. Ngoko ke kuyimfuneko kusoloko ukuvavanya ingcinga ephilileyo umsebenzi kwaye khetha eyona ndlela ilula bokusombulula.

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