Qaabka loo beddelo inches-ka cm-ga iyo cm-ga inches-ka
Beddelista u dhaxaysa inches iyo sentimitir waxay ku salaysan tahay hal tiro oo keliya, kaas oo ah qaddar sax ah oo caalami ah: 1 in = 2.54 cm. Taas macneheedu waa in sentimitir kasta oo aad u baahan tahay, waxaad u beddeli kartaa inches adiga oo ku dhufanaya 2.54. Tusaale ahaan, 10 in × 2.54 = 25.4 cm. Dhanka kale, haddii aad uga soo gudbeyso sentimitir una gudbeyso inches, waxaad isticmaashaa tiro is dhaaf ah (reciprocal): 1 cm = 0.393700787402 in. Tani waxay ka timid xaqiiqda ah in 2.54 yahay 1/25.4 mm, laakiin marka la soo koobo waa qaddar sax ah, ma aha qiyaas.
Waxaa muhiim ah in la ogaado in boggan uu shaqeeyo iyada oo aan la wareejin karin. Haddii aad geliso tiro dhamaadka ku dhow, jajab, ama tiro ballaadhan, natiijadu waa mid sax ah oo ka tarjumaysa isla xisaabta. Tusaale ahaan, -5 in × 2.54 = -12.7 cm, sababtoo ah beddelista waa toosan (linear). Sidoo kale, 0 in waxay siinaysaa 0 cm. Tani waxay ka duwan tahay qaar ka mid ah soo-xisaabiyeyaasha internetka ee isticmaala qiyaas wareegsan, laakiin halkan qaddarku waa dhammaan sax.
Sababta 2.54 uu yahay qaddar sax ah
Sanadkii 1959, wadamada waaweyn ee adduunka (Maraykanka, Ingiriiska, Kanada, Australia, iyo kuwa kale) waxay heshiiyeen in la qeexo inch-ka caalamiga ah (international inch) si uu u ahaado dhab ahaan 25.4 mm. Taas macneheedu waa in 1 in = 25.4 mm. Marka loo beddelo sentimitir (1 cm = 10 mm), waxay noqotaa 1 in = 2.54 cm. Qeexitaankani waa mid rasmi ah oo aan la beddeli karin, wuxuuna bedelay nidaamkii hore ee kala duwanaa. Kahor 1959, Maraykanku wuxuu isticmaali jiray inch-ka shahaadiga ah (US survey inch), kaas oo ahaa 1 in = 25.40005 mm. Kala duwanaanshahaasi waa mid aad u yar (0.00005 mm), laakiin wali wuxuu muhiim u yahay qaar ka mid ah shaqooyinka dhul-beereedka ama juqraafiga. Boggani wuxuu adeegsadaa qeexitaanka 1959 ee caalamiga ah, ma aha kii shahaadiga.
Tiro is dhaafka ah (0.393700787402 in) waxay u egtahay mid soo noqnoqda (recurring decimal) sababtoo ah 2.54 kuma qaybsami karo 1 si sax ah - waa jajab tobanle oo aan dhamaadka lahayn. Si kastaba ha ahaatee, 0.393700787402 waa qaddarka loo isticmaalo si loo helo natiijo sax ah marka aad sentimitir u beddeleysid inches. Tusaale: 10 cm × 0.393700787402 = 3.93700787402 in. Inta badan dadku waxay isticmaalaan 0.394 ama 0.3937, laakiin tani waa dhimista saxnaanta. Haddii aad u baahan tahay saxnaan buuxda, waa inaad isticmaashaa tiro dheer.
Tusaalooyin iyo xisaab fudud
Si loo fahmo sida ay u shaqeyso, waxaa fiican in la eego tusaalooyin caan ah oo laga helo nolosha maalinlaha ah.
| Inches | Sentimitir (sax) | Faa'iido |
|---|---|---|
| 1 in | 2.54 cm | Qaddarka aasaasiga ah |
| 12 in | 30.48 cm | 1 cag (foot) |
| 36 in | 91.44 cm | 1 yard (3 cagood) |
| 0.5 in | 1.27 cm | Nus inch |
| 2.5 in | 6.35 cm | Qaab laser-ka qaarkood |
Sidoo kale, tusaalooyin ka soo jeeda meelaha kale:
- 5 in × 2.54 = 12.7 cm (ballaca buugga qaarkood)
- 10 in × 2.54 = 25.4 cm (dhererka saxanka)
- -2 in × 2.54 = -5.08 cm (tusaale tiro taban, sida heerkulka ama fogaanta hoose)
- 100 in × 2.54 = 254 cm (2.54 m, qiyaasta daahan)
Waxaa xusid mudan in beddelista sentimitir una gudbida inches ay u dhiganto isla qaabka, laakiin adigoo isticmaalaya tiro is dhaafka ah. Tusaale: 50 cm × 0.393700787402 = 19.6850393701 in. Haddii aad dooneyso inaad soo koobto, waxaad u wareejin kartaa 19.69 in, laakiin natiijada saxda ah waxay tahay 19.6850393701 in.
Xadadka iyo sida saxda ah loo isticmaalo
Boggani wuxuu aqbalaa tiro kasta oo dhab ah: xataa tiro aad u yar (sida 0.001 in) ama tiro aad u weyn (sida 10,000 in). Xadka kaliya waa awoodda xisaabaynta browser-ka, kaas oo isticmaala floating-point arithmetic. Tani waxay la macno tahay in tirooyinka aad u yar ama aad u weyn ay ku dhacaan khalad jajab yar (0.0000001% ama ka yar). Laakiin inta badan dadka isticmaala, khaladkaas waa mid aan loo baahnayn in laga walwalo.
Tirooyinka jajabka ah (fractions) sidoo kale waa la gelin karaa haddii boggu u oggolaado. Tusaale ahaan, 1/2 in = 0.5 in = 1.27 cm. Haddii aad geliso 3/4 in, waxay noqonaysaa 0.75 in × 2.54 = 1.905 cm. Waxaa muhiim ah in la xasuusto in beddelistu tahay toosan, marka tiro kasta oo jajab ah ama tiro isku dhafan (mixed number) waa la beddeli karaa iyada oo la rogayo jajabka.
Wareejinta (rounding) natiijada waa qayb ka mid ah soo bandhigista, laakiin xisaabta gudaheeda ma jiro wareejin. Taas macneheedu waa in natiijada qorani ay tahay mid sax ah, laakiin inta badan dadku waxay u baahan yihiin tiro kooban. Tusaale ahaan, nijaar qaabaynta dhismo wuxuu u baahan karaa laba meelood oo jajab ah (sida 30.48 cm), halka saynisyahanku uu u baahan karo lix meelood. Isticmaalaha ayaa go'aansan kara inta meelood ee jajabka ah ee la soo bandhigo, haddii boggu u oggolaado.
Yaa u baahan beddelashadan?
Dad badan oo ka shaqeeya noocyada kala duwan ayaa u baahan in ay ogaadaan sida loo beddelo inches-ka cm-ga. Halkan waxaa ah liis kooban oo ah dadka ugu horreeya:
- DIY-yada iyo kuwa dayactira guriga: Waxay arkaan alwaax, kabo, ama qalab lagu qiyaasay inches, waxayna u baahan yihiin qiyaas sentimitir ah si ay u iibsadaan ama u gooyaan.
- Beeralayda iyo naqshadeynta beerta: Baakado abuur, dhererka dhirta, ama kala fogaanta biyaha waxaa inta badan lagu qiyaasaa inches, laakiin qorshaha beertu wuxuu noqon karaa sentimitir.
- Tolayaasha iyo naqshadeeyayaasha moodada: Tilmaamaha dhar-dharka (pattern) ee laga keenay Maraykanka waxay ku qoran yihiin inches, halka xaashida sentimitir lagu cabbiro.
- Injineerada iyo farsamayaqaannada: Waxay u baahan yihiin in ay u beddelaan sawirada dhismaha ee hore loo sameeyay (imperial) oo ay u gudbiyaan heerarka metric.
- Daawooyinka iyo ardayda: Xisaabta, fiisigiska, iyo juqraafiga waxaa loo baahan yahay beddelasho u dhaxaysa nidaamyada.
- Iibiyeyaasha internetka: Waxay ku qoraan cabbirrada badeecadooda inches, laakiin wadamada qaar waxay filaan in la isticmaalo sentimitir.
FAQ (Su'aalo inta badan la weydiiyo)
1. Sidee loo beddelaa 5 inches-ka cm? Waxaad ku dhufataa 5 × 2.54 = 12.7 cm. Tani waa mid sax ah oo aan wareejin lahayn.
2. Ma shaqeysaa tiro taban? Haa. Beddelistu waa toosan, marka -5 in = -12.7 cm, -0.25 in = -0.635 cm, iwm.
3. Maxaa kala duwan inta u dhaxaysa inch-ka caalamiga ah iyo kii shahaadiga ah (survey inch)? Inch-ka caalamiga ah (1959) waa 25.4 mm sax ah. Inch-ka shahaadiga ah (haddii la isticmaalo) waa 25.40005 mm, taas oo ah farqi aad u yar (0.00005 mm). Boggani wuxuu isticmaalaa kan caalamiga ah.
4. Maxaa dhacaya haddii aan soo geliyo jajab sida 1/3 in? Haddii boggu oggolaado jajabka, waa la beddeli karaa. 1/3 in ≈ 0.333333... in × 2.54 = 0.846666... cm. Natiijadu waxay noqonaysaa jajab tobanle oo soo noqnoqda.
5. Ma waxay tahay qaddar sax ah (exact) mise qiyaas? Waa sax, sababtoo ah qeexitaanka inch-ka ayaa ah 25.4 mm, taas oo si toos ah u keentay 2.54 cm. Ma jiro wax qiyaas ah oo ku jira xisaabta; kaliya wareejinta natiijada soo bandhigeed ayaa laga yaabaa in la sameeyo.
6. Sidee u beddelaa cm-ga inches-ka? Waxaad ku dhufataa sentimitirka 0.393700787402. Tusaale: 100 cm × 0.393700787402 = 39.3700787402 in. Haddii aad dooneyso qiyaas, waxaad isticmaali kartaa 0.3937, laakiin taasi waa dhimista saxnaanta.
Boggani wuxuu ku siinayaa natiijo sax ah, oo ku salaysan qaddarka caalamiga ah ee 2.54. Haddii aad u baahan tahay beddelasho dhammaystiran oo lagu kalsoonaan karo, ha ka laba-labeyn inaad isticmaasho qalabkan oo kale.