Lagnever AI English

Lakh aur crore: badi sankhyaein kaise padhein aur likhein

Short mein jawab

Ek lakh 1,00,000 yaani sau hazaar hai, aur ek crore 1,00,00,000 yaani 100 lakh. Indian commas right se pehle teen digits ke baad, phir har do digits pe lagte hain: 98765432 ban jaata hai 9,87,65,432, yaani nau crore sattaasi lakh painsath hazaar chaar sau battees. American system mein: 98,765,432.

Koi sawal atak gaya? Photo lo, Lagnever AI step-by-step samjhayega. 7 din ka trial sirf ₹2. Google Play se app lo

Hazaar se lakh tak

Tum 45,830 jaisi 5-digit sankhyaein pehle se jaante ho. Inme sabse badi 99,999 hai. Isme 1 jodo to har 9 carry ke saath 0 ban jaata hai aur milta hai 1,00,000, ek 6-digit sankhya jise hum ek lakh kehte hain. Ankon mein ye 1 ke baad 5 zero hai.

999 + 1 = 1,000, 9,999 + 1 = 10,000 aur 99,999 + 1 = 1,00,000, yaani ek lakh
Ek lakh tak ginti

Ek lakh sau hazaar hai. Ye Land of Tens ke ek-button waale calculators pe dikhta hai: jo calculator sirf 1000 jodta hai use lakh tak pahunchne mein 100 baar dabaana padta hai, jo 100 jodta hai use 1,000 baar, aur jo 10 jodta hai use 10,000 baar.

Teen ek-button calculators: +10 ke 10,000, +100 ke 1,000 ya +1000 ke 100 dabaav se ek lakh
Land of Tens

Indian system mein commas

Commas badi sankhyaon ko padhna aasaan banaate hain. Indian place value system mein right se teen digits gino aur comma lagao, phir har do digits ke baad comma lagao: 34,56,789. Har samooh ka ek naam hai. Aakhri teen digits ones ka samooh hain (sau, dahaai, ikaai); unke baad hazaar, lakh aur crore aate hain. Isliye 34,56,789 ko chautees lakh chhappan hazaar saat sau navaasi padhte hain.

Naam se sankhya likhni ho to har samooh bharo aur khaali jagahon pe zero rakho. Pachaas lakh paanch hazaar pachaas 50,05,050 hai, aur das lakh do sau paintees 10,00,235 hai.

Crore aur arab

10 lakh ke das samooh milkar 100 lakh banaate hain, jise crore kehte hain: 1,00,00,000, 7 zero ke saath. Sau crore ka ek arab hota hai, 1,00,00,00,000, 9 zero ke saath. Har kadam 100 guna bada hai: hazaar, lakh, crore, arab. Ek hazaar lakh 10 crore hai aur usme 8 zero hain. Lakh shabd Sanskrit ke laksha se aaya hai aur crore koti se. Indian system kai padosi deshon mein bhi chalta hai, jaise Nepal, Bangladesh aur Sri Lanka.

American system

Kai desh American, yaani International, system use karte hain. Ye right se har teen digits ke baad comma lagaata hai, aur iske naam har teen jagah pe badalte hain: thousand, million, billion. Million 1,000,000 hai aur billion 1,000,000,000.

Ek hi sankhya dono tarah likhi ja sakti hai. 9876501234 Indian system mein 9,87,65,01,234 ban jaati hai, jise 9 arab 87 crore 65 lakh 1 hazaar 234 padhte hain, aur American system mein 9,876,501,234, jise 9 billion 876 million 501 thousand 234 padhte hain. Digits kabhi nahi badalte; sirf samooh aur naam badalte hain.

9876501234 ke digits Indian system ke liye 3-2-2-2 aur American system ke liye 3-3-3 samooh mein
Ek sankhya, do tarah ke samooh

Ek system se doosre mein

Zyaadatar badlaav ke liye ye baatein kaafi hain:

  • 1 lakh = 100 hazaar
  • 10 lakh = 1 million
  • 1 crore = 10 million
  • 100 crore = 1 arab = 1 billion
  • 10,000 lakh = 1 billion

To 3 crore 30 million hai, 750 crore 7.5 billion hai, aur 25 lakh dhaai million hai. 640 crore ki tulna 60 billion se karni ho to dono ko crore mein badlo: 60 billion 6,000 crore hai, isliye 640 crore chhota hai.

Indian aur American naam saath saath, one thousand se one arab ya one billion tak, zero ki ginti ke saath
Lakh, crore, million, billion

Place value aur sabse kam clicks

+1, +10, +100, +1000 jaise buttons waala calculator 5072 kai tarah se bana sakta hai, jaise +100 ke 50 click, +10 ke 7 aur +1 ke 2. Sabse kam clicks tab hote hain jab har button zyaada se zyaada 9 baar dabe: +1000 ke 5, +10 ke 7 aur +1 ke 2, yaani 14 clicks, digits ka jod. Ye sanyog nahi hai. Ek button ke das click hamesha agle button ke ek click se badle ja sakte hain, isliye sabse kam clicks theek sankhya ke digits hote hain, jagah dar jagah.

5072 banaane ke teen tareeke: 59 clicks, 95 clicks, ya sabse kam 14 clicks
5072 banaane ke teen tareeke

Ye kyun zaroori hai

Bharat mein khabrein, budget aur census lakh aur crore mein baat karte hain, aur baaki duniya million aur billion mein, isliye dono ke beech aasaani se aana-jaana kaam aata hai. Aisi sankhyaon ko round karna rounding aur estimation mein seekho, aur unka guna multiplication ke shortcuts mein aazmaao. Kitaab ke har sawaal ka jawab Chapter 1 ke NCERT solutions mein hai; poore Chapter 1 ke notes bhi dekho.

Practice karo

  1. Ek lakh mein kitne hazaar hote hain?

    1. (a) 10
    2. (b) 100
    3. (c) 1,000
    4. (d) 10,000
    Jawab dekho

    Jawab: (b) 100

  2. Sattaais lakh tees hazaar kaunsi sankhya hai?

    1. (a) 27,30,000
    2. (b) 2,73,000
    3. (c) 27,03,000
    4. (d) 2,70,30,000
    Jawab dekho

    Jawab: (a) 27,30,000

  3. American system mein ek crore hai:

    1. (a) 1 million
    2. (b) 10 million
    3. (c) 100 million
    4. (d) 1 billion
    Jawab dekho

    Jawab: (b) 10 million

  4. 50607080 ko Indian commas ke saath likho aur dono system mein padho.

    Jawab dekho

    Jawab: 5,06,07,080: paanch crore chhe lakh saat hazaar assi. American commas ke saath ye 50,607,080 hai: fifty million six hundred seven thousand eighty.

  5. 25 lakh aur 2 million mein kaun bada hai?

    Jawab dekho

    Jawab: 25 lakh = 25,00,000. 2 million = 2 × 10 lakh = 20 lakh. To 25 lakh bada hai, 5 lakh (aadha million) se.

Students ke sawal

Lakh aur crore mein kitne zero hote hain?

Lakh, 1,00,000, mein 5 zero hain aur crore, 1,00,00,000, mein 7. Har Indian naam pichhle se 100 guna hai: 100 hazaar ka lakh, 100 lakh ka crore, aur 100 crore ka arab, jisme 9 zero hote hain.

Lakh aur crore ko million aur billion mein kaise badlein?

Do baatein yaad rakho: 10 lakh = 1 million aur 100 crore = 1 billion. To 1 crore, jo 100 lakh hai, 10 million hai, aur 50 lakh 5 million hai. Ulta karna ho to million ko 10 se guna karke lakh banao: 3 million = 30 lakh.

Dono system commas alag jagah kyun lagaate hain?

Har system wahan comma lagaata hai jahan naya naam shuru hota hai. Hazaar ke baad Indian naam har do jagah pe badalte hain (lakh, crore, arab), isliye commas har do digits ke baad aate hain. American naam har teen jagah pe badalte hain (thousand, million, billion), isliye unke commas har teen digits ke baad aate hain.

Koi sawal atak gaya?

Photo lo, Lagnever AI step-by-step samjhayega. 7 din ka trial sirf ₹2.

Google Play se app lo Browser mein kholo

Parents ke liye: trial ke baad plan har mahine UPI ya card autopay se renew hota hai. App mein kabhi bhi cancel kar sakte hain.