Post 2.1 mein humne 2-digit numbers left se jode. Ab badi sankhyaayein: 3-digit aur 4-digit numbers! Tareeka wahi hai, bas ek-do kadam zyada, aur ek purana dost: running total (ab tak ka jod, Post 2.1 jaisa).
⏱ Before Timer: Pehle Purane Tareeke Se
Pehle school wala tareeka (column method) yaad kar lein. Isme numbers ek ke neeche ek likhte hain: ikai (sabse right wala digit) ke neeche ikai, dahai (uske left wala digit) ke neeche dahai. Phir right se jodna shuru karte hain. Ek chhota example, 28 + 15:
- Ikai: 8 + 5 = 13. Neeche sirf 3 likho. 13 mein jo “10” hai, woh “1” ban kar left wali dahai mein chala jaata hai. Ise “haath ka 1” ya carry kehte hain.
- Dahai: 2 + 1 + 1 (haath ka) = 4. Neeche 4 likho.
- Jawab: 43.
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
457 + 386 = 843
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
Post 2.1 ki trick (pehle dahai, phir ikai) yaad hai na? Aaj usme ek jagah aur judegi. Naye shabd:
📖 Shabd jo is post mein aayenge
- 3-digit number: jisme teen digit hon, jaise 456 (100 se 999 tak).
- 4-digit number: jisme chaar digit hon, jaise 4782 (1000 se 9999 tak).
- Saikda (Hundreds): right se teesri jagah. 456 mein 4 saikde ki jagah pe hai, keemat 400.
- Hazaar (Thousands): right se chauthi jagah. 4782 mein 4 hazaar ki jagah pe hai, keemat 4000.
- Running total (chalta jod): jodte-jodte dimaag mein rakha hua “abhi tak ka jod”. Har naya tukda ismein judta hai.
- Carry: kisi jagah ka jod 10 ya zyada ho jaaye to 10 ka bundle left wali agli badi jagah mein jaata hai. 10 ikai = 1 dahai, 10 dahai = 1 saikda, 10 saikde = 1 hazaar.
- Chain carry: jab ek carry ki wajah se left wali agli jagah bhi 10 ho jaaye aur wahan se bhi carry aage jaaye. Jaise 999 + 1 = 1000.
- Comma (,): bade number padhne mein madad ke liye. 4,782 aur 4782 ek hi number hain. Jodte waqt comma ka koi asar nahi.
📏 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.
🔁 Chhota sa warm-up
- 400 + 300 = ?
- 700 + 130 = ?
- 830 + 13 = ?
Answers dekho
- 700
- 830
- 843
Teeno sahi? Aapne before-timer wala sawaal hi tukdon mein kar liya! Koi galat hua to Post 1.2 aur 2.1 dekh lo.
— 📌 charumam.com
🎬 Kahani: Zoya Aur School Trip Ka Fund
School trip ke liye Class 8A ne ₹456 aur Class 8B ne ₹378 ikatthe kiye. Assembly mein Principal ma’am ne poocha: “Kul kitne hue?”
Sab copy dhoondh rahe the. Monitor Zoya ne mann mein socha: “400 aur 300, 700. Phir 50 aur 70, 120, to 820. Phir 6 aur 8, 14, to 834.”
“Ma’am, ₹834!” 🎉 Principal ma’am ne calculator se check kiya: bilkul sahi!
Zoya ka raaz: bade numbers mein bhi sabse badi jagah se shuru karo aur ek running total aage badhaate jaao. Chaliye seekhte hain.
— 📌 charumam.com
🪄 Trick Step by Step: Badi Jagah Se Chhoti Jagah: Running Total Ke Saath
💡 Is post ki ek badi baat: Bade numbers mein bhi wahi niyam: sabse badi jagah se shuru karo (saikda, phir dahai, phir ikai) aur har jagah ka jod running total mein milaate jaao. Carry apne aap sahi jagah pahunch jaata hai.
Step 1: Saikde jodo
Sawaal: 456 + 378. Saikde: 400 + 300 = 700. Running total = 700.
Step 2: Dahai jodo aur running total mein milao
Dahai: 50 + 70 = 120 (5 dahai + 7 dahai = 12 dahai = 1 saikda (100) + 2 dahai (20)). Running total: 700 + 120 = 820. (120 mein jo 100 tha, woh carry ban kar saikde mein chala gaya: 700 se 800.)
Step 3: Ikai jodo aur milao
Ikai: 6 + 8 = 14. Running total: 820 + 14 = 834. Yahi jawab hai ✅
Step 4: Andaaze se check karo
Round off (sabse paas ke 10 tak): 456 → 460, 378 → 380. Andaaza: 460 + 380 = 840. 834 aur 840 mein sirf 6 ka farak (10 se kam, Post 1.3 wala niyam), to jawab theek lagta hai ✅
100 tak round off (jaldi wala andaaza): dahai ka digit dekho. 5 ya zyada ho to upar wale sau pe jaao; 4 ya kam ho to neeche wale sau pe.
- 598: dahai 9 (5 ya zyada) → upar: 600.
- 407: dahai 0 (4 ya kam) → neeche: 400.
- 456: dahai 5 (5 ya zyada) → upar: 500.
📏 Niyam (100 tak round, do numbers): har number zyada se zyada 50 badalta hai, to andaaza asli jawab se zyada se zyada 50 + 50 = 100 door ho sakta hai. Jawab andaaze se 100 se zyada door ho, to pakka galti hai.
456 + 378: 456 → 500, 378 → 400 (dahai 7). Andaaza 500 + 400 = 900. Jawab 834 andaaze se 66 door, yaani 100 se kam: theek lagta hai ✅. 598 + 407: andaaza 600 + 400 = 1000; jawab 1005 sirf 5 door ✅, par 9915 to bahut zyada door, pakka galat ❌.
4-digit numbers: ek kadam aur
| Jagah | 4782 + 3659 | Running total |
|---|---|---|
| Hazaar | 4000 + 3000 = 7000 | 7000 |
| Saikda | 700 + 600 = 1300 (7 saikde + 6 saikde = 13 saikde = 1 hazaar (1000) + 3 saikde (300)) | 7000 + 1300 = 8300 (1300 ka 1 hazaar, 7 hazaar ko 8 hazaar bana deta hai, aur 3 saikde saikde ki jagah mein) |
| Dahai | 80 + 50 = 130 (13 dahai = 1 saikda + 3 dahai) | 8300 + 130 = 8430 |
| Ikai | 2 + 9 = 11 | 8430 + 11 = 8441 |
Ek aur tareeka: pehla number poora rakho
Kabhi-kabhi pehla number poora rakh kar doosre ke tukde ek-ek karke jodna aur aasaan lagta hai: 456 + 300 = 756, phir 756 + 70 = 826 (dahai: 5 dahai + 7 dahai = 12 dahai = 120, to 700 + 120 = 820, plus 6 ikai = 826), phir 826 + 8 = 834 (ikai: 6 + 8 = 14, to 820 + 14 = 834). Jawab same! Jo aapko aasaan lage, wahi chuno.
🆘 Atak gaye? Aise socho
- Running total bhool jaate ho? Har kadam ke baad zor se bolo: “saat sau… aath sau bees… aath sau chauntees”. Shuru mein copy pe sirf running total likh sakte ho.
- Dahai ka jod 100 se zyada ho gaya (jaise 120)? Ghabraao mat, use poora running total mein jodo: 700 + 120 = 820.
- Kisi jagah ka jod theek 9, 90 ya 900 aaye? Savdhaan! Agli jagah ka carry aane pe yahan bhi carry ho sakta hai (chain carry). Running total wala tareeka yeh apne aap sambhaal leta hai. 598 + 407 mein: 900 → 990 → 1005.
- Ek number chhota ho (jaise 4782 + 659)? Dono ko right se milao. 659 mein hazaar ki jagah khaali hai (0).
— 📌 charumam.com
🔍 Yeh Kaam Kyun Karta Hai?
Har jagah alag kyun jodte hain? Post 1.2 mein dekha tha: 456 = 400 + 50 + 6 aur 378 = 300 + 70 + 8. Jodne mein kram badalne se total nahi badalta, to hum bade tukde pehle jod sakte hain.
Carry left-to-right mein kahan chhupa hai? 50 + 70 = 120. Yeh 120 = 1 saikda + 2 dahai. Jab hum 700 + 120 karte hain, to woh 1 saikda apne aap 700 ko 800 bana deta hai. School mein yahi “1 haath ka” saikde wale column mein likhte hain. Bas hum use running total se le jaate hain.
Chain carry kya hai? 598 + 407 dekho. Saikde: 900. Dahai: 90 + 0 = 90, to 990. Ikai: 8 + 7 = 15. Ab 990 + 15: pehle 10 jodo, 990 + 10 = 1000. Kyun? 990 = 99 dahai, aur 10 = 1 dahai. 99 dahai + 1 dahai = 100 dahai = 10 saikde = 1 hazaar (1000). Phir 5: 1005. Jaise dominoes girte hain, ek carry agle ko dhakka deta hai. Running total yeh sab apne aap kar deta hai.
— 📌 charumam.com
✏️ Solved Examples (Har Ek Normal Tareeke Se Check)
Example 1: 324 + 152 = ? (bina carry)
Saikde: 300 + 100 = 400. Dahai: 20 + 50 = 70, running total 470. Ikai: 4 + 2 = 6, running total 476.
✔️ Normal tareeke se check: Column: ikai 4 + 2 = 6, dahai 2 + 5 = 7, saikda 3 + 1 = 4. Jawab 476 ✅
Example 2: 456 + 378 = ?
700 → 700 + 120 = 820 → 820 + 14 = 834.
✔️ Normal tareeke se check: Column: ikai 6 + 8 = 14, 4 likho, 1 carry. Dahai 5 + 7 + 1 = 13, 3 likho, 1 carry. Saikda 4 + 3 + 1 = 8. Jawab 834 ✅
Example 3: 598 + 407 = ? (chain carry)
Saikde: 500 + 400 = 900. Dahai: 90 + 0 = 90, running total 990. Ikai: 8 + 7 = 15, running total 990 + 15: pehle 990 + 10 = 1000 (99 dahai + 1 dahai = 100 dahai = 10 saikde = 1 hazaar), phir + 5 = 1005.
✔️ Normal tareeke se check: Column: ikai 8 + 7 = 15, 5 likho, 1 carry. Dahai 9 + 0 + 1 = 10, 0 likho, 1 carry. Saikda 5 + 4 + 1 = 10, 0 likho, 1 carry hazaar mein. Jawab 1005 ✅
Example 4: 4782 + 3659 = ?
Hazaar: 4000 + 3000 = 7000. Saikde: 700 + 600 = 1300 (13 saikde = 1 hazaar + 3 saikde). 7000 + 1300 = 8300: woh 1 hazaar 7 hazaar ko 8 bana deta hai. Dahai: 80 + 50 = 130 (13 dahai = 1 saikda + 3 dahai), 8300 + 130 = 8430. Ikai: 2 + 9 = 11, 8430 + 11 = 8441.
✔️ Normal tareeke se check: Column: ikai 2 + 9 = 11, 1 likho, 1 carry. Dahai 8 + 5 + 1 = 14, 4 likho, 1 carry. Saikda 7 + 6 + 1 = 14, 4 likho, 1 carry. Hazaar 4 + 3 + 1 = 8. Jawab 8441 ✅
— 📌 charumam.com
🕉️ Vedic Maths Connection
Is trick ke liye Vedic Maths ka koi alag sutra nahi hai. Badi jagah se shuru karke running total rakhna ek general mental-maths method hai. Isi soch ko hum aage Level 2 aur 3 ke guna (multiplication) mein bhi use karenge.
— 📌 charumam.com
🧭 Kab Use Karein, Kab Nahi
| Situation | Trick use karein? | Kyun |
|---|---|---|
| 3-digit numbers ka jod, mann mein | ✅ Haan | Teen kadam: saikda, dahai, ikai. |
| 4-digit numbers ka jod | ✅ Practice ke baad | Chaar kadam. Shuru mein running total copy pe likh lo. |
| Ek number 498, 999 jaisa ho | ⚠️ Post 1.1 aur tez | 498 + 357 = 500 + 355 = 855. |
| Sirf andaaza chahiye (lagbhag kitna?) | ✅ Sirf pehla 1-2 kadam | 456 + 378: saikde 700, dahai milake 820. Ikai 6 + 8 lagbhag 10 aur jodegi, to “lagbhag 830” (asli 834). |
| 5-6 digit ke lambe numbers | ❌ Copy behtar | Itne kadam mann mein yaad rakhna mushkil hai. |
— 📌 charumam.com
❌→✅ Common Mistakes
Galti 1: Dahai ki keemat bhool gaye
Sawaal: 456 + 378
❌ Galat: “700, phir 5 + 7 = 12, to 712, phir 14, to 726.”
✅ Sahi: 5 aur 7 dahai hain: 50 + 70 = 120. Running total 700 + 120 = 820, phir 820 + 14 = 834.
Galti 2: Chain carry chhoot gaya
Sawaal: 598 + 407
❌ Galat: “Saikde 9, dahai 9, ikai 15, to 9915.” (digits chipka diye)
✅ Sahi: running total se: 900 → 990 → 990 + 15 = 1005. Andaaza bhi bataata: 598 → 600, 407 → 400 (100 tak round), 600 + 400 = 1000. 9915 to 1000 se 100 se bahut zyada door hai, to ho hi nahi sakta.
Galti 3: Jagah galat milaayi
Sawaal: 4782 + 659
❌ Galat: “4 aur 6 hazaar, 10000…” (659 ka 6 hazaar nahi, saikda hai!)
✅ Sahi: right se jagah milao. Hazaar: 4000 (659 mein hazaar nahi). Saikda: 700 + 600 = 1300 (13 saikde = 1 hazaar + 3 saikde), to 4000 + 1300 = 5300 (1 hazaar ne 4 ko 5 banaya). Dahai: 80 + 50 = 130 (13 dahai = 1 saikda + 3 dahai), to 5430. Ikai: 2 + 9 = 11, to 5441.
🧠 Rule of thumb: Badi jagah se shuru, har tukda running total mein, aur jagah hamesha right se milao.
— 📌 charumam.com
🏃 Speed Drill: 15 Sawaal, Timer Ke Saath
Timer lagao. Pehle 10 sawaal 3-digit ke hain, aakhri 5 sawaal 4-digit ke. Running total zor se bolo. Target: 5 minute.
- 324 + 152 = ?
- 215 + 432 = ?
- 456 + 378 = ?
- 267 + 145 = ?
- 538 + 294 = ?
- 619 + 287 = ?
- 745 + 168 = ?
- 386 + 527 = ?
- 598 + 407 = ?
- 699 + 205 = ?
- 1234 + 2345 = ?
- 2468 + 1357 = ?
- 4782 + 3659 = ?
- 3905 + 2187 = ?
- 5678 + 4321 = ?
Mera time: ______ · Sahi: ____ / 15
Answers dekho (pehle khud karo!)
- 476
- 647
- 834
- 412
- 832
- 906
- 913
- 913
- 1005
- 904
- 3579
- 3825
- 8441
- 6092
- 9999
— 📌 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.
- 200 + 300 = ?
- 340 + 250 = ?
- 125 + 230 = ?
- 410 + 190 = ?
- 350 + 450 = ?
- 263 + 124 = ?
- 508 + 207 = ?
- 1200 + 3400 = ?
- 650 + 150 = ?
- 999 + 101 = ?
| 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
- 500
- 590
- 355
- 600
- 800
- 387
- 715
- 4600
- 800
- 1100
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. 456 + 378 ko left se right jodne ka pehla kadam kya hai?
Jawab aur kaaran dekho
Sahi jawab: (b) 400 + 300 = 700
- (a) galat ❌: Yeh alag-alag jagah ke digits mila diye, galat.
- (b) sahi ✅: Sabse badi jagah (saikda) se shuru karte hain.
- (c) galat ❌: Ikai se shuru karna school ka column method hai.
- (d) galat ❌: Yeh koi fix kadam nahi, aur ikai pehle jod di.
Q2. 456 + 378 = ?
Jawab aur kaaran dekho
Sahi jawab: (a) 834
- (a) sahi ✅: 700 → 820 → 834.
- (b) galat ❌: 726 tab aata hai jab dahai ka 120 ki jagah 12 maan lete hain: 700 + 12 + 14.
- (c) galat ❌: 7124 mein tukde chipka diye.
- (d) galat ❌: 844 mein 10 zyada jud gaye.
Q3. 50 + 70 = 120. Is 120 ka place value mein matlab kya hai?
Jawab aur kaaran dekho
Sahi jawab: (d) 1 saikda aur 2 dahai
- (a) galat ❌: 12 ikai to 12 hota hai, 120 nahi.
- (b) galat ❌: 1 hazaar = 1000, jo 120 se bahut bada hai.
- (c) galat ❌: 120 saikde = 12000, bahut bada.
- (d) sahi ✅: 120 = 100 + 20, yaani 1 saikda + 2 dahai. Woh 1 saikda hi carry hai.
Q4. 598 + 407 = ?
Jawab aur kaaran dekho
Sahi jawab: (c) 1005
- (a) galat ❌: 995 mein ikai ke 15 ka 10 (carry) chhoot gaya: 990 + 5.
- (b) galat ❌: 9915 mein digits chipka diye.
- (c) sahi ✅: 900 → 990 → 1005. Chain carry!
- (d) galat ❌: 905 mein dahai ka 90 bhi gaayab hua aur carry bhi.
Q5. 4782 mein 7 ki place value kya hai?
Jawab aur kaaran dekho
Sahi jawab: (b) 700
- (a) galat ❌: 7 to sirf digit hai; uski keemat (place value) 700 hai.
- (b) sahi ✅: 7 right se teesri jagah (saikda) pe hai: 700.
- (c) galat ❌: 70 tab hota jab 7 dahai pe hota.
- (d) galat ❌: 7000 tab hota jab 7 hazaar pe hota.
Q6. “Running total” kya hai?
Jawab aur kaaran dekho
Sahi jawab: (a) Jodte-jodte yaad rakha gaya abhi tak ka jod
- (a) sahi ✅: Jaise 700, phir 820, phir 834: har kadam ke baad ka jod.
- (b) galat ❌: Aakhri jawab bhi running total ka aakhri roop hai, par running total beech ke kadamon mein bhi hota hai.
- (c) galat ❌: “Running” ka matlab “chalta hua” hai, daudna nahi. 😊
- (d) galat ❌: Running total mein saari jagahon ke jod milte hain.
Q7. 4782 + 3659 = ?
Jawab aur kaaran dekho
Sahi jawab: (d) 8441
- (a) galat ❌: 7331 tab aata hai jab har jagah ka carry chhoot jaaye.
- (b) galat ❌: 8341 mein dahai ka carry chhoot gaya.
- (c) galat ❌: 8431 mein ikai 11 ki jagah 1 hi joda.
- (d) sahi ✅: 7000 → 8300 → 8430 → 8441.
Q8. 4782 + 659 mein 659 ka 6 kis digit ke saath judega?
Jawab aur kaaran dekho
Sahi jawab: (c) 7 (saikde) ke saath
- (a) galat ❌: 8 dahai ki jagah pe hai, 6 nahi.
- (b) galat ❌: 2 ikai hai. 659 ki ikai 9 hai.
- (c) sahi ✅: Right se gino: 659 mein 6 teesri jagah (saikda) pe hai, 4782 mein bhi teesri jagah 7 hai.
- (d) galat ❌: 4 hazaar ki jagah pe hai. 659 mein hazaar khaali hai.
Q9. 999 + 1 mein kitni jagah carry hota hai?
Jawab aur kaaran dekho
Sahi jawab: (b) 3 (ikai, dahai, saikda)
- (a) galat ❌: Hazaar wali jagah pe naya digit aata hai, wahan se carry nahi jaata.
- (b) sahi ✅: Ikai 10 → dahai mein, dahai 10 → saikde mein, saikda 10 → hazaar mein. Teen carry, jawab 1000.
- (c) galat ❌: Sirf ikai mein nahi, chain carry aage tak jaata hai.
- (d) galat ❌: Carry zaroor hota hai, kyunki 9 + 1 = 10.
Q10. 498 + 357 ke liye sabse aasaan tareeka kya hai?
Jawab aur kaaran dekho
Sahi jawab: (a) 500 + 355 = 855
- (a) sahi ✅: 498 bilkul 500 ke paas hai, to Post 1.1 wali trick: 2 diye, 2 liye.
- (b) galat ❌: 700 sirf pehla kadam hai, poora jawab nahi.
- (c) galat ❌: 15 sirf ikai ka jod hai.
- (d) galat ❌: 845 mein 10 kam ho gaye. Sahi jawab 855.
— 📌 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. Khaali jagah bharo: 4□7 + 256 = 703
Solution dekho
Left se socho: saikde 400 + 200 = 600. Jawab 703 hai, to baaki tukdon se 103 aana chahiye. Ikai 7 + 6 = 13 deti hai. To dahai se 103 − 13 = 90 chahiye. 256 ki dahai 50 deti hai, to □ wali dahai = 90 − 50 = 40, yaani □ = 4.
Check: 447 + 256: 600 → 690 → 703 ✅
Q2. Sabse chhote 4-digit number aur sabse bade 3-digit number ka jod kya hai?
Solution dekho
Sabse chhota 4-digit: 1000. Sabse bada 3-digit: 999. Jod: 1000 + 999 = 1999.
Check: 1999 − 999 = 1000 ✅
Q3. Olympiad style: digits 1, 2, 3, 4, 5, 6 ko ek-ek baar use karke do 3-digit numbers banao jinka jod sabse bada ho. Jod kitna hoga?
Solution dekho
Left-to-right soch: sabse badi jagah (saikda) pe sabse bade digit lagao: 6 aur 5. Phir dahai pe 4 aur 3, ikai pe 2 aur 1. Jaise 642 + 531. Saikde: 600 + 500 = 1100 (6 saikde + 5 saikde = 11 saikde = 1 hazaar (1000) + 1 saikda (100)). Dahai: 40 + 30 = 70, to 1170. Ikai: 2 + 1 = 3, to 1173.
Check: 631 + 542 bhi: 1100 → 1170 → 1173 ✅ (jab tak 6, 5 saikde mein, 4, 3 dahai mein aur 2, 1 ikai mein hain, jod 1173 hi aata hai.)
Q4. School ne do din mein ₹1875 aur ₹2368 ikatthe kiye. Target ₹5000 hai. Aur kitne chahiye?
Solution dekho
Jod: hazaar 1000 + 2000 = 3000. Saikde 800 + 300 = 1100 (8 saikde + 3 saikde = 11 saikde = 1 hazaar + 1 saikda), to 3000 + 1100 = 4100 (1 hazaar ne 3 ko 4 banaya). Dahai 70 + 60 = 130 (13 dahai = 1 saikda + 3 dahai), to 4230. Ikai 5 + 8 = 13, to ₹4243.
Aur kitne chahiye? 5000 − 4243 ko aage gin kar (jodkar) karo: 4243 se 5000 tak kitna chalna padega?
- 4243 + 7 = 4250 (ikai ko 0 banaya)
- 4250 + 50 = 4300 (dahai ko 0 banaya)
- 4300 + 700 = 5000 (saikde ko 0 banaya, 4 hazaar 5 hazaar ban gaya)
Kul chale: 7 + 50 + 700 = ₹757.
Check: 4243 + 757 = 5000 ✅
— 📌 charumam.com
🎯 Exam Mein Kahan Kaam Aayega?
| Exam | Kahan kaam aayega |
|---|---|
| School exam (Class 6–8) | Bade numbers ke word problems (population, paise, distance) mein jod jaldi aur andaaza turant. |
| Maths Olympiad | “Khaali digit bharo” aur “digits se sabse bada jod” jaise puzzles (Challenge Q1 aur Q3). |
| NTSE | Data aur number puzzles mein bade jod. |
| SSC / Bank (aage chal ke) | Tables aur charts ke data jodne mein left se jodna andaaza bhi deta hai, jo options cut karne mein kaam aata hai. |
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. Class 6–8 = school ki chhathi se aathvi kaksha.
— 📌 charumam.com
👩🏫 Charu Mam Ka Tip
Bachcho, akhbaar ya TV pe koi bada number dikhe (match mein darshak, kisi sheher ki aabaadi, ya ghar ka bijli bill), to do numbers left se jodo aur running total bolo. Aur ek secret: exam mein left se jodna aapko pehla digit pehle de deta hai. Kai baar MCQ ke options sirf pehle digit se hi cut ho jaate hain! 😉
— 📌 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)
Saikde: 400 + 300 = 700. Dahai: 50 + 80 = 130 (13 dahai = 1 saikda + 3 dahai), running total 700 + 130 = 830. Ikai: 7 + 6 = 13, running total 830 + 13 = 843 ✅
| 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. 3-digit aur 4-digit mein kaunsa zyada mushkil hai?
Tareeka same hai, bas 4-digit mein ek kadam zyada hai. Running total bolte raho, dono aasaan lagenge.
2. Running total copy pe likh sakte hain kya?
Shuru mein haan! Sirf running totals likho (700, 820, 834). Dheere-dheere bina likhe hone lagega.
3. Chain carry kab hota hai?
Jab kisi jagah ka jod theek 9 (ya 90, 900) ho aur peeche se carry aa jaaye. Jaise 598 + 407 mein dahai 90 thi, phir ikai ka 10 aaya aur sab 1000 ban gaya.
4. Kya “aage jhaanko” trick 3-digit mein chalti hai?
Haan, par wahan dhyaan rakho: agar agli jagah ka jod theek 9 ho, to usse bhi aage jhaankna padta hai. Isliye 3-digit mein running total zyada safe hai.
5. Andaaza kis jagah tak round karein?
Jaldi ke liye sabse paas ke 100 tak (456 → 500, kyunki dahai 5 hai), thoda sahi andaaze ke liye sabse paas ke 10 tak (456 → 460, kyunki ikai 6 hai). 100 wale andaaze mein jawab 100 tak door ho sakta hai, 10 wale mein sirf 10 tak.
6. Agar do se zyada numbers jodne hon?
Agle post 2.3 mein! Wahan lambi list (jaise bill) jodna seekhenge.
— 📌 charumam.com
🟢 Recap: Aaj Kya Seekha
- Bade numbers: badi jagah se shuru, saikda → dahai → ikai (4-digit mein pehle hazaar).
- Har jagah ka jod running total mein milao: 700 → 820 → 834.
- Carry running total mein apne aap pahunch jaata hai. 120 = 1 saikda + 2 dahai.
- Chain carry: 598 + 407 mein running total 900 → 990 → 1005.
- Jagah hamesha right se milao (4782 + 659).
- Andaaze se check karo: 460 + 380 = 840, to 834 theek lagta hai.
— charumam.com 🎯
👉 Aage Kya?
Do numbers ho gaye, ab lambi list! Agle post mein dukaan ke bill jaisi poori column (5-6 numbers) jaldi jodna seekhenge, 10 aur 100 ke dost dhoondh kar.
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: Charu Mam WhatsApp Channel
— 📌 charumam.com
