4-digit (aur lamba) × 11: same padosi-jod idea. Saath mein clear list — kab yeh trick mat use karo — aur check hamesha number×10 + number.
⏱ Before Timer: Pehle Purane Tareeke Se
×10 + number se check: 1234 × 11 = 1234 × 10 + 1234:
Jawab 13574. Padosi-jod trick yahi tez karti hai.
Ab phone ya ghadi mein stopwatch (samay naapne wali ghadi) chalu kijiye. Neeche wala sawaal isi school wale tareeke (column method) se kijiye, copy-pencil ke saath. Column method na aata ho to ungliyon pe gin kar bhi kar sakte hain. Jaise hi jawab mil jaaye, stopwatch rok dijiye aur apna time likh lijiye.
Mera time: ______ second
Jawab dekho
1234 × 11 = 13574
Abhi trick nahi dekhni! Post ke end mein After Timer mein yahi sawaal trick se karenge aur dono time ki tulna karenge. 😊
— 📌 charumam.com
✅ Pehle Yeh Aata Hai
Pattern: 4-digit × 11 ka jawab aksar 5 digit (1234 × 11 = 13574); bade / zyada carry pe 6 bhi (9999 × 11 = 109989). Padosi digits ke jod left se right.
Jagah yaad: right se Ikai, Dahai, Saikda, Hazaar, aur paanchvi jagah Das hazaar (10000 wale) — jaise 13574 mein pehla 1 Das hazaar hai.
📖 Shabd jo is post mein aayenge
- 4-digit × 11: left | har padosi jod | right, carries ke saath.
- Kab NA use: ×12 / ×9 / ×25 pe yeh ×11 trick mat — alag tareeka.
- Carry ek-ek step: har step pe carry aage le jao.
- Left pe naya digit: sabse left pe carry se naya digit ban sakta hai.
- Andaaza: pehle rough soch: jawab number×10 se thoda zyada.
- Check: number×10 + number — hamesha.
📏 Bade numbers padhna aur round number mein jodna
Har digit ki ek jagah (place) hoti hai. Right se gino: pehli jagah Ikai (ones, 1 wale), uske left mein Dahai (tens, 10 wale), phir Saikda (hundreds, 100 wale), phir Hazaar (thousands, 1000 wale).
10 ka bundle: 10 ikai = 1 dahai (10). 10 dahai = 1 saikda (100). 10 saikde = 1 hazaar (1000). Har jagah apne right wali jagah se 10 guna badi hai.
| Number | Kaise padhein | Kis cheez se bana |
|---|---|---|
| 98 | attaanve | 9 dahai (90) + 8 ikai |
| 165 | ek sau painsath | 1 saikda (100) + 6 dahai (60) + 5 ikai |
| 999 | nau sau ninyaanve | 9 saikde (900) + 9 dahai (90) + 9 ikai |
| 1011 | ek hazaar gyaarah | 1 hazaar (1000) + 0 saikda + 1 dahai (10) + 1 ikai |
Round number mein chhota number jodna (place box niyam): chhote number ko right se likho, yaani ikai ke neeche ikai, dahai ke neeche dahai. Phir har dabbe mein jo hai, woh jawab mein utaar do. Ek digit wala number sirf ikai ka zero badalta hai, do digit wala ikai aur dahai dono.
- 100 + 65: 65 mein do digit, to 6 dahai mein aur 5 ikai mein: 1|6|5 = 165.
- 100 + 2: 2 sirf ikai mein, dahai ka 0 waise hi rehta hai: 1|0|2 = 102 (12 nahi, 120 nahi!).
- 200 + 6: 6 sirf ikai mein: 2|0|6 = 206.
- 1000 + 11: 11 mein do digit, to 1 dahai mein aur 1 ikai mein: 1|0|1|1 = 1011.
✖️ Guna kya hai? (Multiplication)
Guna (nishaan ×) matlab ek hi number ko baar-baar jodna. “6 × 4” ko bolte hain “6 guna 4”, matlab 4 ko 6 baar jodo:
6 × 4 = 4 + 4 + 4 + 4 + 4 + 4 = 24
Isi tarah 6 × 7 matlab 7 ko 6 baar jodo. Running total (har baar ka naya jod) dekho: 7, 14, 21, 28, 35, 42. To 6 × 7 = 42.
10 dahai = 1 saikda: 10 dande (har danda 10) milkar 100 bante hain, yaani 1 saikda. Isliye 24 dahai = 20 dahai + 4 dahai = 2 saikde + 4 dahai = 240. (Aur 10 saikde milkar 1 hazaar, yaani 1000, bante hain.)
Tukdon mein guna kyun kar sakte hain? 47 = 4 dande (40) + 7 cube (7). 47 ko 6 baar lena matlab neeche jaisi 6 line. Dande alag gin lo, cube alag gin lo, kul utna hi rahega:
6 × 47: 6 baar 40 = 240, 6 baar 7 = 42, kul 240 + 42 = 282
Guna mein carry 1 se bada ho sakta hai: jod mein carry aksar 1 hota hai, par guna mein bada bhi aa sakta hai. Column mein 6 × 7 = 42 aaya, yaani 4 dahai aur 2 ikai. To ikai mein 2 likho aur 4 dahai carry karo (aage le jao). Phir dahai mein 6 × 4 = 24, usme carry ke 4 jodo: 24 + 4 = 28. Jawab 282.
Guna mein jagah badlo, jawab wahi: 16 × 4 aur 4 × 16 ek hi cheez hain. Neeche dots dekho: 4 line, har line mein 16 dots. Line se gino to 4 baar 16; khade column se gino to 16 baar 4. Dots wahi hain, to jawab bhi wahi: 64. Isliye jo aasaan lage, us tarah jodo.
Copy pe column mein (28 + 15 jaisa):
- Ikai: 6 × 7 = 42. Neeche ikai mein 2 likho. 42 ke 4 dahai carry hain: chhota 4 dahai wale digit (4) ke upar likho.
- Dahai: 6 × 4 = 24, usme upar likha carry 4 jodo: 24 + 4 = 28. Neeche 28 likho (8 dahai mein, 2 saikde mein).
- Jawab: 282.
10 se guna: 3 × 10 matlab 10 ko 3 baar jodna: 10 + 10 + 10 = 30. Kisi number ko 10 se guna karo to woh har digit ek jagah left khisak jaata hai aur ikai mein 0 aa jaata hai: 3 → 30, 30 → 300.
🔁 Chhota sa warm-up
- 1+2=?
- 1234×10=?
- 12340+1234=?
Answers dekho
- 3
- 12340
- 13574
Lamba padosi-jod ready!
— 📌 charumam.com
🎬 Kahani: Pin Code × 11 Challenge
Class ne pin 1234 liya. “×11 mental, 30 second!”
Kuch ne calculator manga. Sara ne pairs likhe: 1, 3, 5, 7, 4 — 13574.
CharuMam: “Lamba ho to bhi same rule. Aur batao kab nahi use karna — yeh bhi smartness hai!” 🚀
— 📌 charumam.com
🪄 Trick Step by Step: Zyada Digits, Same Pairs
💡 Is post ki ek badi baat: Kisi bhi lambai: left digit, har padosi jodi ka jod, right digit, carries left. Check hamesha number×10 + number.
Step 1: Digits line mein
1234: 1, 2, 3, 4.
Step 2: Parts banao
1 | 1+2 | 2+3 | 3+4 | 4 = 1|3|5|7|4 = 13574 — yahan carry nahi.
Step 3: Carry example 5678 × 11
Right se: 8; 7+8=15→5 c1; 6+7+1=14→4 c1; 5+6+1=12→2 c1; 5+1=6 → 62458.
Check: 56780+5678=62458 ✅
Step 4: Kab NA
Neeche table — galat tool = galti. ×12 pe kaam karke dikhate hain.
Kab USE / Kab NAHI
| Situation | Use? | Kyun |
|---|---|---|
| Kisi number × 11 | ✅ | Yahi chapter |
| × 12 | ❌ | Padosi-jod galat jawab deta hai (neeche example) |
| × 9 | ❌ | ×9 = ×10 − ×1 — alag chapter / tareeka |
| × 25 | ❌ | 25 se guna alag trick (Ch 5 jald) |
| Teacher ne column steps maange | ❌ sheet | Rough mein check OK |
| Bahut saare carries, ghabrahat | ⚠️ | ×10+number seedha bhi theek |
| Sirf andaaza chahiye | ⚠️ | jawab number×10 se thoda zyada |
×12 pe yeh trick kyun fail?
42 × 12 pe padosi-jod (×11 wala) try karo: 4 | 4+2=6 | 2 → 462. Yeh galat hai — 462 to 42 × 11 ka jawab hai!
Sahi: 42 × 10 = 420, aur 42 × 2 = 84, to 420 + 84 = 504. Check: 42 × 12 = 504 ✅
Isliye ×12 pe ×11 ka padosi-jod mat lagao.
🆘 Atak gaye? Aise socho
- Carries zyada? Right se ek-ek place likho. Ghabrahat ho to seedha ×10+number likh kar jod do.
- 4-digit se 5-digit: normal jab left pe carry / bada number — pehla digit Das hazaar ki jagah pe aa sakta hai.
- ×11 nahi ×12: mat confuse — upar example dekho, 462 galat, 504 sahi.
- Check: number×10 + number = result.
— 📌 charumam.com
🔍 Yeh Kaam Kyun Karta Hai?
Har lambai pe same: number ko 10 se guna (end pe 0 lagao) aur phir wahi number jodna. Example: 1234×10 = 12340, +1234 = 13574. Padosi jod unhi jagahon pe baithte hain.
Isliye rule har digit-count pe same soch hai — 2, 3, 4 digit.
— 📌 charumam.com
✏️ Solved Examples (Har Ek Normal Tareeke Se Check)
Example 1: 1234 × 11 = ?
1|3|5|7|4 → 13574.
✔️ Normal tareeke se check: 12340+1234=13574 ✅
Example 2: 2020 × 11 = ?
2|2|2|2|0 → 22220.
✔️ Normal tareeke se check: 20200+2020=22220 ✅
Example 3: 5678 × 11 = ?
→ 62458 (carry detail upar).
✔️ Normal tareeke se check: 56780+5678=62458 ✅
Example 4: 1001 × 11 = ?
1|1|0|1|1 → 11011.
✔️ Normal tareeke se check: 10010+1001=11011 ✅
— 📌 charumam.com
🕉️ Vedic Maths Connection
Digit method — number×10 + number. Naam Vedic ho ya na ho, samajh zaroori.
— 📌 charumam.com
🧭 Kab Use Karein, Kab Nahi
| Situation | Trick use karein? | Kyun |
|---|---|---|
| × 11, koi bhi lambai | ✅ | Pairs+carry. |
| × 11 lekin time kam / ghabrahat | ⚠️ | Seedha ×10+number (backup tareeka). |
| × 12 | ❌ | Alag — padosi-jod mat. |
| Answer sheet pe steps | ❌ | Sirf rough mein trick. |
— 📌 charumam.com
❌→✅ Common Mistakes
Galti 1: ×12 pe ×11 rule
42 × 12 pe padosi-jod → 4|6|2 = 462 ❌. Sahi: 420 + 84 = 504 ✅
Galti 2: Pair skip
Har padosi jodi zaroori — koi pair mat chhodo.
Galti 3: Check nahi
Lamba number = aasan galti; ×10+number se zaroor check karo.
🧠 Rule of thumb: Pairs + carry; doubt ho to ×10+number. Sirf ×11 — ×12 pe mat.
— 📌 charumam.com
🏃 Speed Drill: 15 Sawaal, Timer Ke Saath
Mix 2/3/4 digit ×11. Target: 5 minute.
- 21 × 11 = ?
- 321 × 11 = ?
- 4321 × 11 = ?
- 55 × 11 = ?
- 505 × 11 = ?
- 1111 × 11 = ?
- 76 × 11 = ?
- 678 × 11 = ?
- 2222 × 11 = ?
- 89 × 11 = ?
- 909 × 11 = ?
- 3141 × 11 = ?
- 33 × 11 = ?
- 450 × 11 = ?
- 1000 × 11 = ?
Mera time: ______ · Sahi: ____ / 15
Answers dekho (pehle khud karo!)
- 231
- 3531
- 47531
- 605
- 5555
- 12221
- 836
- 7458
- 24442
- 979
- 9999
- 34551
- 363
- 4950
- 11000
— 📌 charumam.com
⏰ One-Minute Challenge
Sirf 1 minute (60 second). Timer lagao, aur jitne ho sakein utne sawaal mann mein (bina copy ke) karo. Sirf jawab likhna hai.
- 14 × 11 = ?
- 141 × 11 = ?
- 1414 × 11 = ?
- 27 × 11 = ?
- 272 × 11 = ?
- 36 × 11 = ?
- 363 × 11 = ?
- 48 × 11 = ?
- 484 × 11 = ?
- 59 × 11 = ?
| Rating | Kitne sahi, kitne time mein |
|---|---|
| 🌱 Beginner | 60 second mein 5 se 7 sahi. Badhiya shuruaat! |
| 🚀 Pro | 60 second mein 8 ya 9 sahi |
| 🏆 Champion | 10 mein 10 sahi, 60 second ke andar |
Answers dekho
- 154
- 1551
- 15554
- 297
- 2992
- 396
- 3993
- 528
- 5324
- 649
5 se kam sahi? Koi baat nahi! Trick wala section ek baar aur padho aur kal phir try karo. Har din thoda better, bas yahi chahiye. 💪
— 📌 charumam.com
📝 10 MCQs (Har Option Ka Kaaran)
MCQ matlab ek sawaal ke chaar jawab (options) diye hote hain, unme se ek sahi chunna hai.
Q1. 1234 × 11 = ?
Jawab aur kaaran dekho
Sahi jawab: (c) 13574
- (a) galat ❌: 13454: 2+3=5 ki jagah 4 — ek padosi jod galat.
- (b) galat ❌: 12574: 1+2=3 ki jagah 2 — pehla padosi jod galat.
- (c) sahi ✅: 1 | 1+2=3 | 2+3=5 | 3+4=7 | 4 → 13574.
- (d) galat ❌: 12344: pairs skip karke digits chipka diye (1234 aur end pe 4).
Q2. Kab NA use?
Jawab aur kaaran dekho
Sahi jawab: (b) × 12 ka sawaal
- (a) galat ❌: Mann mein tez ×11 ke liye OK.
- (b) sahi ✅: ×12 pe padosi-jod galat (42×12 → 462 nahi, 504).
- (c) galat ❌: 4-digit ×11 pe use OK — yahi post.
- (d) galat ❌: Rough check / andaaza OK — NA nahi.
Q3. 5678 × 11 = ?
Jawab aur kaaran dekho
Sahi jawab: (a) 62458
- (a) sahi ✅: Right se: 8; 7+8=15→5; 6+7+1=14→4; 5+6+1=12→2; 5+1=6 → 62458.
- (b) galat ❌: 56788: number ke peeche 8 chipka diya, carries nahi kiye.
- (c) galat ❌: 62348: left pe 5+1=6 ki jagah 5 rakha / ek carry miss — 62348 ≠ 62458.
- (d) galat ❌: 5678 khud number hai — ×11 kiya hi nahi.
Q4. Backup check (jab pairs confuse hon)?
Jawab aur kaaran dekho
Sahi jawab: (d) number×10 + number
- (a) galat ❌: Minus se check nahi — ×11 = ×10 + ×1, minus nahi.
- (b) galat ❌: Digits ulta optional soch hai; clear check ×10+number hai.
- (c) galat ❌: Guess mat — hisaab karo.
- (d) sahi ✅: Hamesha kaam: 1234×10 + 1234 = 13574.
Q5. 2020 × 11 = ?
Jawab aur kaaran dekho
Sahi jawab: (c) 22220
- (a) galat ❌: 22020: middle digits ka order galat (2 aur 0 ki jagah).
- (b) galat ❌: 22202: aakhri digit 0 ki jagah 2 — right digit galat.
- (c) sahi ✅: 2 | 2+0=2 | 0+2=2 | 2+0=2 | 0 → 22220.
- (d) galat ❌: 20220: beech mein 0+2 wala jod miss / ek 2 kam.
Q6. Kaunsa example left pe naya digit (carry aage) dikhata hai?
Jawab aur kaaran dekho
Sahi jawab: (b) 9999 × 11
- (a) galat ❌: ×12 alag — yahan ×11 ka example chahiye.
- (b) sahi ✅: 9999×11 = 109989 — sabse left pe naya 1 aata hai.
- (c) galat ❌: 11×1 = 11, chhota; left pe naya digit nahi dikhega.
- (d) galat ❌: 10+1 yeh ×11 ka matlab hai, example number nahi.
Q7. 1001 × 11 = ?
Jawab aur kaaran dekho
Sahi jawab: (a) 11011
- (a) sahi ✅: 1 | 1+0=1 | 0+0=0 | 0+1=1 | 1 → 11011.
- (b) galat ❌: 10011: beech ka 0+0=0 miss / ek pair skip.
- (c) galat ❌: 1111 bahut chhota — jaise ×1 ya galat chipak.
- (d) galat ❌: 10101: padosi jodon ka order / jod galat (1+0 aur 0+1).
Q8. Padosi digits ka jod kya hai?
Jawab aur kaaran dekho
Sahi jawab: (d) Har padosi digits ka jod
- (a) galat ❌: Sirf pehla aur aakhri nahi — beech ke padosi digits ki jodiyan bhi jodni hain.
- (b) galat ❌: Koi bhi jodi nahi — humein sirf padosi (saath wale) digits chahiye.
- (c) galat ❌: 2-digit bhi isi rule ka chhota case; “sirf beech ek” poori soch nahi.
- (d) sahi ✅: Har padosi (bagal wale) digits ka jod.
Q9. Andaaza: 50×11?
Jawab aur kaaran dekho
Sahi jawab: (c) 550 ke aas-paas
- (a) galat ❌: 50 original number hai, guna ka jawab nahi.
- (b) galat ❌: 1100 bahut bada — yahan ×11, andaaza lagbhag 550.
- (c) sahi ✅: 50×10=500, phir +50 → 550 ke aas-paas (number×10 se thoda zyada).
- (d) galat ❌: 500 sirf ×10 hai; ×11 mein +50 bhi jodna hai.
Q10. Sheet pe column maanga?
Jawab aur kaaran dekho
Sahi jawab: (b) Column likho, trick se check
- (a) galat ❌: ×12 rule yahan nahi — sawaal ×11 / column ke baare mein hai.
- (b) sahi ✅: Sheet pe column likho, rough mein trick se check.
- (c) galat ❌: Sirf trick se teacher na maane — sheet pe column chahiye.
- (d) galat ❌: Blank mat chhodo — kuch to likho.
— 📌 charumam.com
🧠 Challenge: HOTS Aur Olympiad Style
HOTS matlab Higher Order Thinking Skills, yaani aise sawaal jinme sirf trick nahi, thoda dimaag bhi lagana padta hai. Olympiad ek maths competition (pratiyogita) hota hai.
Q1. 9999 × 11?
Solution dekho
99990+9999=109989.
Q2. Kaunsa 4-digit × 11 = 13574?
Solution dekho
Peeche se: right digit = 4. Left digit = 1. Doosra digit: left + doosra = 3 → 1+doosra=3 → doosra=2. Teesra digit: doosra + teesra = 5 → 2+teesra=5 → teesra=3. Check: teesra+right = 3+4=7 ✅. Number 1234. Check: 1234×11=13574 ✅
Q3. Kyun ×11 pe padosi-jod aur ×12 pe nahi yahi?
Solution dekho
×11 = ×10 + ×1 — pehle number×10, phir wahi number jodo. ×12 = ×10 + ×2 — doosra hisa double. Isliye pairs alag. Galat try: 42×12 pe 4|6|2=462 ❌. Sahi: 420+84=504 ✅
Q4. Kab seedha ×10+number pairs se better?
Solution dekho
Jab carries ki chain lambi lage / galti ho rahi ho — ×10+number do clear jod.
— 📌 charumam.com
🎯 Exam Mein Kahan Kaam Aayega?
| Exam | Kahan kaam aayega |
|---|---|
| School | Lamba number ×11. |
| Olympiad | Digit rule ko lamba number pe lagana. |
| NTSE | Mann mein tez ×11, aur kab mat use. |
| SSC | Simplification ×11. |
Shabdon ka matlab: Olympiad = school ke bachchon ki maths pratiyogita (competition). NTSE = Class 10 ke bachchon ka ek national scholarship (vazifa) exam. SSC / Bank exam = badon ke sarkari naukri ke exam. Simplification = lambe hisaab ko chhota karke jawab nikaalna.
— 📌 charumam.com
👩🏫 CharuMam Ka Tip
Smart student tool bhi chhod sakta hai jab ghabrahat ho — ×10 + number hamesha dost. Accuracy pehle, shaan baad mein! 🚀
— 📌 charumam.com
⏱ After Timer: Ab Trick Se!
Wahi sawaal jo shuru mein kiya tha. Stopwatch phir chalu kijiye, aur is baar aaj ki trick se kijiye:
Trick se kaise karein (dekho)
1 | 1+2=3 | 2+3=5 | 3+4=7 | 4 → 13574. Check: 12340 + 1234 = 13574 ✅
| Before time | After time | Kitna tez? |
|---|---|---|
| ____ second | ____ second | Before − After = ____ second bache! |
Pehli baar mein time zyada bhi lag sakta hai, ghabraiye nahi! Nayi trick ko 3 se 4 din ki practice chahiye. Phir yeh purane tareeke se kaafi tez ho jaati hai. 🚀
— 📌 charumam.com
🤖 Aur Practice: AI Tutor Se Poochho
Neeche wali line copy kijiye aur CharuMam AI Tutor (tutor.charumam.com) mein paste kar dijiye. Tutor aapko naye sawaal dega aur galti hone pe samjhayega:
— 📌 charumam.com
❓ FAQs (Bachchon Ke Asli Sawaal)
1. 5-digit number × 11?
Wahi padosi-jod rule. Pehle 4-digit pe practice karo, phir 5 try.
2. Check kaise pakka karein?
Hamesha number×10 + number. Jaise 1234×10 + 1234 = 13574.
3. Calculator kab?
Practice ke baad speed check ke liye. Seekhte waqt pehle mat.
4. Agla post kya hai?
Post 4.4: 4.1–4.3 ka mix, dhokhe wale sawaal aur HOTS.
— 📌 charumam.com
🟢 Recap: Aaj Kya Seekha
- Lamba ×11: padosi pairs + carry.
- 1234 × 11 = 13574.
- Backup: ×10 + number.
- ×12 pe yeh rule mat lagao (462 galat, 504 sahi).
- Sheet pe column jab maanga.
- Check mat chhodo.
— charumam.com 🎯
👉 Aage Kya?
Last of Ch4: Multiply by 11 Ke Tricky Sawaal — mix HOTS!
Koi doubt? CharuMam AI Tutor se poochho, ya comment mein likho! 💬
💛 Post Achha Laga? Like, Share, Subscribe, Follow!
Agar aaj kuch naya samajh aaya, to post ko like kijiye, apne doston aur class ke group mein share kijiye, aur roz nayi trick ke liye humein subscribe aur follow kijiye! 🙏
- 🌐 Website: charumam.com
- 🤖 AI Tutor (doubt poochho, 24×7): tutor.charumam.com
- ▶️ YouTube (subscribe): @charumamofficial
- 📸 Instagram (follow): @charumamofficial
- ✈️ Telegram: t.me/charumam
- 💬 WhatsApp Channel: CharuMam WhatsApp Channel
— 📌 charumam.com
