Class 7 Maths Chapter 1: Large Numbers Around Us (Hinglish Notes)

Ye chapter 5 lines mein

Large Numbers Around Us lakh aur crore jaisi badi sankhyaon ke baare mein hai: ye kitni badi hoti hain, inhe kaise padhte aur likhte hain, aur inke saath kaise kaam karte hain. Ek lakh 1,00,000 hai aur ek crore 1,00,00,000. Chapter Indian system (lakh, crore) ki tulna American system (million, billion) se karta hai, badi sankhyaon ko round aur estimate karna sikhata hai, bade guna ke shortcuts deta hai, aur mazedaar sawaal poochhta hai, jaise kya poori Mumbai ek lakh buson mein sama sakti hai.

Chapter 1 ka mind map: lakh kitna bada hai, Land of Tens, crores aur crores, exact ya lagbhag values, guna ke patterns, aur soch ke prayog — Poora chapter ek page pe

Ye chapter kis baare mein hai?

Chapter Karnataka ke ek shehar Chintamani ke bazaar se shuru hota hai. Ek kisaan sunta hai ki kabhi Bharat mein chaawal ki lagbhag ek lakh kismein ugaayi jaati thin, aur uska beta sochta hai ki kya koi ek zindagi mein un sabka swaad le sakta hai. Sau saal tak roz ek kism khaane se sirf 36,500 din bante hain, ek lakh se bahut kam. Aise sawaal poore chapter mein chalte hain: ek lakh, ya ek crore, kitna bada hai, aur aisi sankhyaon ko kaise padhein, likhein, round karein aur unka hisaab karein?

Ek lakh kitna bada hai?

999 mein 1 jodo to 1,000 milta hai, sabse chhoti 4-digit sankhya. 99,999 mein 1 jodo to 1,00,000 milta hai, sabse chhoti 6-digit sankhya, jise ek lakh padhte hain. Isme 5 zero hain.

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

Kya lakh bada hai? Ye is pe nirbhar karta hai ki tum use kisse milaate ho. Ek lakh din lagbhag 274 saal hain, par Ahmedabad ke ek stadium mein ek lakh se zyaada log baith sakte hain. Badi naap bhi kisi jaani-pehchaani cheez ke saath zyaada samajh aati hai: Somu 1 m lamba hai, uski building ki ek manzil lagbhag 4 m hai, aur 10 manzil waali building lagbhag 40 m oonchi hai. Lagbhag 180 m ka Statue of Unity aisi saadhe chaar buildings ke barabar hai.

Bada lagta hai: ek lakh din lagbhag 274 saal; chhota lagta hai: ek stadium mein ek lakh se zyaada seats — Lakh bada ya chhota?

Land of Tens: button clicks se place value

Land of Tens mein calculators mein sirf kuch buttons hote hain. Jis calculator mein sirf +1000 ka button hai, use ek lakh dikhane ke liye 100 baar dabaana padta hai; +100 waale ko 1,000 baar, aur +10 waale ko 10,000 baar. Jis calculator mein saare buttons hain (+1, +10, +100 waghera), wo 5072 kai tarah se bana sakta hai, par sabse kam clicks hain +1000 pe 5, +10 pe 7 aur +1 pe 2: kul 14 clicks, yaani digits ka jod. Sabse kam clicks hamesha place value ke hisaab se chalte hain.

Crore, arab, million aur billion

+10,00,000 ko das baar dabaao to 100 lakh milte hain, jise crore kehte hain: 1,00,00,000, 7 zero ke saath. Sau crore ka ek arab hota hai. Indian system mein right se teen digits ke baad comma lagta hai, phir har do digits ke baad (3-2-2-2). American, yaani International, system million aur billion use karta hai, aur har teen digits ke baad comma lagaata hai. Isliye 10 lakh = 1 million, 1 crore = 10 million aur 100 crore = 1 billion. Lakh aur crore shabd Sanskrit se aaye hain. Aur padho lakh aur crore mein.

Indian aur American naam saath saath, one thousand se one arab ya one billion tak — Lakh, crore, million, billion

Exact aur lagbhag values

Aksar exact sankhya ki zaroorat nahi hoti. 2011 mein Chintamani ki aabaadi 76,068 thi, par “lagbhag 75,000” kehne se baat samajh aa jaati hai. Jab badi sankhya surakshit ho tab hum round up karte hain, jaise 732 logon ka school 750 mithaiyaan mangaata hai, aur jab chhoti sankhya theek lage tab round down, jaise ₹470 ki cheez ko lagbhag ₹450 ki batana. Phir bhi phone number aur bank ke paise jaisi cheezon ke liye exact sankhya chahiye.

Badi sankhyaon ke nearest neighbours bhi hote hain: nearest thousand, ten thousand, lakh, ten lakh aur crore. Pehle andaaza lagaana bhi kaam aata hai: 4,63,128 + 4,19,682 zaroor 8,50,000 aur 8,83,128 ke beech hai. Phir chapter 2001 aur 2011 mein 20 shehron ki aabaadi pe sawaal poochhta hai. Dekho rounding aur estimation.

6,72,85,183 ke paanch nearest neighbours, har ek chhoti number line pe — Nearest neighbours

Guna ke patterns

5 se guna karna aadha karke 10 se guna karne jaisa hai, to 116 × 5 = 58 × 10 = 580. Isi tarah × 25 matlab ÷ 4 aur × 100, aur × 125 matlab ÷ 8 aur × 1000. Factors ko gol sankhyaon mein jodna bhi madad karta hai: 125 × 40 × 8 × 25 = 1000 × 1000. Chapter ye bhi poochhta hai ki guna-phal mein kitne digits honge; do 2-digit sankhyaon ke guna mein hamesha 3 ya 4 digits hote hain. Phir kuch guna aur bhaag se mazedaar tathya khulte hain, jaise Sooraj ki doori (lagbhag 14,70,00,000 km) aur blue whale ka wazan. Padho multiplication ke shortcuts.

× 5, × 25 aur × 125 ke shortcuts: pehle bhaag do, phir zero lagao — Guna ke shortcuts

Kya tumne kabhi socha…?

Aakhri hissa badi sankhyaon se khelta hai. Kya 1 crore 24 lakh se zyaada logon waali Mumbai 50 seat waali 1 lakh buson mein sama sakti hai? Nahi: unme sirf 50 lakh log aate hain. Kya roz 100 km chalkar 10 saal mein Chaand tak pahunch sakte ho? Kadam dar kadam socho: saal mein 36,500 km, 10 saal mein 3,65,000 km, phir bhi 19,400 km kam.

Roz 100 km se 10 saal mein 3,65,000 km, Chaand se 19,400 km kam — Chaand ka safar

Chapter toothpick se bane digits ki paheli pe khatm hota hai. Har sawaal, Figure it Out aur paheli ke jawab Chapter 1 ke NCERT solutions mein hain.

Key terms (zaroori shabd)

Term	Matlab
Lakh	1,00,000, yaani sau hazaar: 1 ke baad 5 zero. Ye sabse chhoti 6-digit sankhya hai, 99,999 se ek zyaada.
Crore	1,00,00,000: 100 lakh, yaani 1 ke baad 7 zero. American system mein ise ten million kehte hain.
Arab	1,00,00,00,000: 100 crore, yaani 1 ke baad 9 zero. Ye one billion ke barabar hai.
Million aur billion	American (International) naam: million 1,000,000 hai, jo 10 lakh ke barabar hai, aur billion 1,000,000,000 hai, jo 100 crore ke barabar hai.
Indian place value system	Right se pehle teen digits ke baad comma, phir har do digits ke baad (3-2-2-2), jisse thousand, lakh, crore aur arab bante hain: 12,78,830.
American (International) system	Right se har teen digits ke baad comma (3-3-3), jisse thousand, million aur billion bante hain: 1,278,830.
Place value	Kisi digit ki wo value jo use apni jagah se milti hai. 5072 mein 5 ka matlab 5 hazaar hai aur 7 ka matlab 7 dahaai.
Round up aur round down	Sankhya ki jagah paas ki gol sankhya lena jo badi ho (round up) ya chhoti ho (round down), jaise 732 logon ke liye 750 mithaiyaan.
Nearest neighbour	Chuni hui jagah pe sabse paas ki gol sankhya: 6,72,85,183 ka nearest lakh 6,73,00,000 hai aur nearest crore 7,00,00,000.
Estimate (andaaza)	Jaldi nikaala gaya lagbhag jawab, jisse exact jawab nikaalne se pehle ya baad mein natije ko parkha jaata hai.
Factor karke regroup karna	Sankhyaon ko factors mein todkar aise samooh banaana ki gol sankhyaein banein: 125 × 40 × 8 × 25 = (40 × 25) × (125 × 8) = 1000 × 1000.

Is chapter ke topics

Jaldi revision

Ek lakh = 99,999 + 1 = 1,00,000, sabse chhoti 6-digit sankhya; isme 5 zero hain.
Badi naap ko kisi jaani-pehchaani cheez se milaao: 180 m ka Statue of Unity, Somu ki 40 m oonchi, 10 manzil waali building ka lagbhag saadhe chaar guna hai.
100 hazaar se ek lakh banta hai; 1,000 sau ya 10,000 dahaai se bhi.
+1, +10, +100 jaise buttons ho to kisi sankhya ke liye sabse kam clicks uske digits ka jod hote hain, aur har button pe clicks place value ke kram mein uske digits hote hain.
100 lakh ka ek crore (7 zero) aur 100 crore ka ek arab (9 zero).
Indian commas right se 3-2-2-2 lagte hain (lakh, crore); American commas 3-3-3 (million, billion).
10 lakh = 1 million, 1 crore = 10 million, 100 crore = 1 billion aur 10,000 lakh = 1 billion.
Aksar lagbhag value kaafi hoti hai: jahan kam padna mushkil ho wahan round up karo, aur jahan chhoti sankhya theek lage wahan round down.
Nearest neighbour ke liye dekho ki sankhya kis gol sankhya ke zyaada paas hai; aadhe ya usse zyaada pe upar jaao.
Hisaab se pehle andaaza lagao: 4,63,128 + 4,19,682 zaroor 8,50,000 se zyaada aur 8,83,128 se kam hai (ye 8,82,810 hai).
× 5, × 25 aur × 125 ka matlab hai pehle ÷ 2, ÷ 4 aur ÷ 8, phir × 10, × 100 aur × 1000; m-digit sankhya guna n-digit sankhya mein m + n − 1 ya m + n digits hote hain.
Bade sawaal kadam dar kadam hal karo: roz 100 km matlab saal mein 36,500 km aur 10 saal mein 3,65,000 km, jo Chaand ki 3,84,400 km ki doori se abhi bhi kam hai.

Is chapter ke NCERT solutions Chapter ke saare exercise questions, step-by-step jawab ke saath.

Practice karo

Ek crore ko ankon mein likhne pe kitne zero hote hain?
1. (a) 5
2. (b) 6
3. (c) 7
4. (d) 9
Jawab dekho

Jawab: (c) 7
24681357 ko Indian commas ke saath kaise likhenge?
1. (a) 24,681,357
2. (b) 2,46,81,357
3. (c) 246,81,357
4. (d) 2,468,13,57
Jawab dekho

Jawab: (b) 2,46,81,357
10 lakh barabar hai:
1. (a) 1 million
2. (b) 10 million
3. (c) 1 billion
4. (d) 100 thousand
Jawab dekho

Jawab: (a) 1 million
6,72,85,183 ka nearest lakh kya hai?
1. (a) 6,72,00,000
2. (b) 6,73,00,000
3. (c) 6,70,00,000
4. (d) 7,00,00,000
Jawab dekho

Jawab: (b) 6,73,00,000
824 × 25 nikaalne ka jaldi waala tareeka kaunsa hai?
1. (a) 824 × 100 × 4
2. (b) 824 ÷ 4, phir × 100
3. (c) 824 × 10, phir ÷ 2
4. (d) 824 + 2500
Jawab dekho

Jawab: (b) 824 ÷ 4, phir × 100
3-digit sankhya guna 3-digit sankhya mein kitne digits hote hain?
1. (a) 4 ya 5
2. (b) 5 ya 6
3. (c) 6 ya 7
4. (d) sirf 6
Jawab dekho

Jawab: (b) 5 ya 6

Students ke sawal

Class 7 Maths Chapter 1 ke mukhya topics kya hain?

Ek lakh kitna bada hai aur badi sankhyaon ka andaaza kaise lagaayein; Land of Tens ke calculators aur place value; crore aur arab, aur sankhyaon ko Indian aur American system mein padhna; exact aur lagbhag values, rounding, nearest neighbours aur estimation; guna ke patterns aur shortcuts; aur badi sankhyaon ke saath soch ke prayog. Chapter toothpick digits ki paheli pe khatm hota hai.

Kya Large Numbers Around Us naye Ganita Prakash mein hai?

Haan. Ye Ganita Prakash, Class 7 Maths ki kitaab Part 1 (Reprint 2026-27) ka Chapter 1 hai, pages 1 se 23 tak. Ye un 5-digit sankhyaon se shuru hota hai jo tum pehle se jaante ho, aur crore, arab aur billion tak jaata hai.

Indian aur American system mein kya farq hai?

Dono mein wahi digits aur wahi place values hain; farq digits ke samooh aur unke naamon mein hai. Indian system mein right se pehla comma teen digits ke baad aata hai, phir har do digits ke baad (thousand, lakh, crore, arab). American, yaani International, system mein har teen digits ke baad comma aata hai (thousand, million, billion). Isliye das lakh, 10,00,000, ek million, 1,000,000, ke barabar hai.

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