School mein hum jod hamesha right se (ikai se) shuru karte hain. Par mann mein jodne ke liye ek tez tareeka hai: left se right, yaani pehle bada hissa! Is chapter ke pehle post mein hum yeh 2-digit numbers pe seekhenge.
⏱ 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
68 + 57 = 125
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
Chapter 1 mein humne place value seekhi thi: 47 = 40 + 7. Aaj usi ka use karenge. Naye shabd:
📖 Shabd jo is post mein aayenge
- Left aur right: left = baayaan haath ki taraf, right = daayaan haath ki taraf. Number 47 mein 4 left mein hai, 7 right mein.
- Dahai digit (tens digit): 2-digit number ka left wala digit. 47 mein 4, jiski keemat 40 hai.
- Ikai digit (ones digit): 2-digit number ka right wala digit. 47 mein 7.
- Column method: school wala tareeka: numbers ek ke neeche ek likho aur right se (ikai se) jodna shuru karo.
- Carry (haath ka 1): jab ikai ka jod 10 ya zyada ho (jaise 7 + 8 = 15), to 15 mein ek “10 ka bundle” hai. Woh bundle 1 dahai ban kar dahai wali jagah mein chala jaata hai. Ise carry kehte hain.
- Left to right addition: jodna left se shuru karna: pehle dahai, phir ikai.
- Running total (chalta jod): jodte-jodte jo number dimaag mein yaad rakhte hain, jaise “abhi tak 70”.
📏 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
- 40 + 30 = ?
- 7 + 8 = ?
- 70 + 15 = ?
Answers dekho
- 70
- 15
- 85
Teeno aa gaye? Bas, yahi teen chhote jod milakar aaj ki trick ban jaati hai! Koi galat hua to Post 1.2 dekh lo.
— 📌 charumam.com
🎬 Kahani: Ishaan Aur Cricket Commentary
Ishaan TV pe match dekh raha tha. Pehle 10 over mein India ne 47 run banaaye, agle 10 over mein 38 run.
Ishaan ne copy uthaayi: “7 aur 8, 15, 5 likho, 1 haath ka…” Tab tak commentator bol chuke the: “20 over mein 85 run!” 🏏
Ishaan ne Charu Mam se poocha: “Mam, unhone itni jaldi kaise jod liya?”
Charu Mam: “Woh left se jodte hain! Pehle bada hissa: 40 aur 30, 70. Phir chhota: 7 aur 8, 15. 70 aur 15, 85. Socho, hum number bolte bhi to bade hisse se shuru karte hain: ‘forty-seven’ mein pehle forty aata hai. To jodo bhi waise hi!”
— 📌 charumam.com
🪄 Trick Step by Step: Pehle Dahai, Phir Ikai
💡 Is post ki ek badi baat: Mann mein jodte waqt left se shuru karo: pehle dahai (bada hissa), phir ikai (chhota hissa), phir dono milao. Jawab usi kram mein milta hai jis kram mein hum bolte hain, aur sabse bada hissa sabse pehle mil jaata hai.
Step 1: Dahai jodo (left wale digit)
Sawaal: 47 + 38. Dahai digit hain 4 aur 3, yaani 40 aur 30. 40 + 30 = 70. Ise yaad rakho (running total).
Step 2: Ikai jodo (right wale digit)
Ikai digit hain 7 aur 8. 7 + 8 = 15.
Step 3: Dono milao
70 + 15 = 85. Yaani 47 + 38 = 85 ✅. Dhyaan do: 15 mein jo “10” tha (carry), woh 70 mein jud kar 80 bana, aur 5 bacha. Carry apne aap sahi jagah pahunch gaya!
🚀 Pro level: “Aage jhaanko” (peek ahead)
Jab teen kadam aasaan lagne lagein, to ise ek line mein karo:
- Dahai digit jodo: 4 + 3 = 7.
- Aage jhaanko: ikai ka jod 10 ya usse zyada hai kya? 7 + 8 = 15, haan! To dahai mein 1 badhao: 7 → 8.
- Ikai ke jod ka sirf aakhri digit lo: 15 ka 5.
Jawab bolo: “assi… paanch”, yaani 85. Seedha left se right bol diya, bina kuch likhe!
| Sawaal | Dahai | Jhaanko: ikai ka jod | Jawab |
|---|---|---|---|
| 34 + 25 | 3 + 2 = 5 | 4 + 5 = 9 (10 se kam, kuch nahi badhao) | 59 |
| 47 + 38 | 4 + 3 = 7 | 7 + 8 = 15 (10 ya zyada, +1) | 85 |
| 76 + 58 | 7 + 5 = 12 | 6 + 8 = 14 (10 ya zyada, +1): 12 → 13 | 13 dahai = 130 (10 dahai = 1 saikda), phir 130 + 4 = 134 |
| 89 + 76 | 8 + 7 = 15 | 9 + 6 = 15 (10 ya zyada, +1): 15 → 16 | 16 dahai = 160 (10 dahai = 1 saikda, 6 dahai = 60), phir 160 + 5 = 165 |
Dahai 10 ya zyada ho jaaye to? 10 dahai = 1 saikda (100). To 13 dahai = 1 saikda + 3 dahai = 130, aur 16 dahai = 1 saikda + 6 dahai = 160. Phir ikai ka aakhri digit jodo: 130 + 4 = 134, 160 + 5 = 165.
Yeh “chipkana” kyun nahi hai? 130 mein ikai ki jagah khaali (0) hai. 4 ek digit hai, to woh seedha usi khaali ikai mein baith jaata hai: 1|3|0 → 1|3|4. Par 715 wali galti mein 70 ke baad do digit wala 15 ek hi ikai ki jagah mein thoons diya tha. Ek jagah mein sirf ek digit baith sakta hai, isliye 15 ka 1 pehle dahai mein jaana chahiye (aage jhaanko ka +1 wahi hai), aur sirf 5 ikai mein.
+1 hamesha kaafi kyun? Do numbers mein ikai ka sabse bada jod 9 + 9 = 18 hai. Yeh 20 se kam hai, yaani usme sirf 1 dahai hi ban sakti hai. Isliye do numbers mein “aage jhaanko” ka +1 hamesha kaafi hai. Teen ya zyada numbers ho (jaise Challenge Q2), to ikai ka jod 20 ya usse zyada ho sakta hai, tab +1 kaafi nahi; wahan teen kadam wala tareeka (dahai, ikai, milao) use karo.
🆘 Atak gaye? Aise socho
- 70 bhool jaate ho? Zor se bolo: “sattar”. Ya ungli pe rakh lo. Running total bolne se yaad rehta hai.
- Ikai ka jod 10 se bada? Bilkul theek hai. 70 + 15 jaisa jod Post 1.2 mein seekha tha: 70 + 10 = 80, phir 80 + 5 = 85.
- Ikai ka jod theek 10 aaye to? Woh bhi carry hai! 46 + 34: 70 + 10 = 80.
- Dahai ka jod 10 se zyada? Jaise 89 + 76: 8 dahai + 7 dahai = 15 dahai = 1 saikda (100) + 5 dahai (50) = 150. Koi baat nahi, 150 + 15 = 165.
— 📌 charumam.com
🔍 Yeh Kaam Kyun Karta Hai?
Left se jodne pe bhi jawab same kyun aata hai? Post 1.2 yaad karo: 47 asal mein 40 + 7 hai, aur 38 asal mein 30 + 8 hai. To 47 + 38 matlab chaar tukde: 40, 7, 30, 8. Jodne mein tukdon ka kram (order) badalne se total nahi badalta. School wala tareeka ikai pehle jodta hai, hum dahai pehle. Tukde wahi, jawab wahi.
Carry kahan gaya? School ke tareeke mein 7 + 8 = 15 hote hi hum 10 ka bundle turant dahai mein bhej dete hain (“1 haath ka”). Left-to-right mein hum woh bundle baad mein jodte hain: 70 + 15. Bundle wahi hai, bas thoda baad mein pahuncha. Neeche chitra mein dekho: 15 dots mein se 10 dots ka bundle ek naya danda ban jaata hai.
Mann mein yeh tez kyun hai?
- School wala tareeka jawab ulta deta hai: pehle 5, phir 8. Mann mein use palat kar “85” bolna padta hai.
- Left se jodne pe jawab usi kram mein aata hai jaise hum bolte hain: pehle 80, phir 5.
- Bada hissa pehle milta hai. Beech mein koi tok de, tab bhi aapko pata hai jawab “80 ke aas-paas” hai. Yeh khud ek achha andaaza hai.
— 📌 charumam.com
✏️ Solved Examples (Har Ek Normal Tareeke Se Check)
Example 1: 34 + 25 = ? (bina carry)
Dahai: 30 + 20 = 50. Ikai: 4 + 5 = 9. Milao: 50 + 9 = 59.
✔️ Normal tareeke se check: Column: ikai 4 + 5 = 9, dahai 3 + 2 = 5. Jawab 59 ✅
Example 2: 47 + 38 = ?
Dahai: 40 + 30 = 70. Ikai: 7 + 8 = 15. Milao: 70 + 15 = 85.
✔️ Normal tareeke se check: Column: ikai 7 + 8 = 15, 5 likho, 1 carry. Dahai 4 + 3 + 1 = 8. Jawab 85 ✅
Example 3: 76 + 58 = ?
Dahai: 70 + 50 = 120 (7 dahai + 5 dahai = 12 dahai = 1 saikda (100) + 2 dahai (20) = 120). Ikai: 6 + 8 = 14. Milao: 120 + 14 = 134.
Aage jhaanko se: dahai digit 7 + 5 = 12. Ikai 6 + 8 = 14 (10 ya zyada), to 12 → 13. 13 dahai = 1 saikda + 3 dahai = 130 (10 dahai = 1 saikda). Ab 14 ka aakhri digit 4, khaali ikai mein: 130 + 4 = 134.
Yeh “chipkana” kyun nahi hai? 130 mein ikai ki jagah khaali (0) hai. 4 ek digit hai, to woh seedha usi khaali ikai mein baith jaata hai: 1|3|0 → 1|3|4. Par 715 wali galti mein 70 ke baad do digit wala 15 ek hi ikai ki jagah mein thoons diya tha. Ek jagah mein sirf ek digit baith sakta hai, isliye 15 ka 1 pehle dahai mein jaana chahiye (aage jhaanko ka +1 wahi hai), aur sirf 5 ikai mein.
✔️ Normal tareeke se check: Column: ikai 6 + 8 = 14, 4 likho, 1 carry. Dahai 7 + 5 + 1 = 13. Jawab 134 ✅
Example 4: 89 + 76 = ?
Dahai: 80 + 70 = 150. Ikai: 9 + 6 = 15. Milao: 150 + 15 = 165.
✔️ Normal tareeke se check: Column: ikai 9 + 6 = 15, 5 likho, 1 carry. Dahai 8 + 7 + 1 = 16. Jawab 165 ✅
— 📌 charumam.com
🕉️ Vedic Maths Connection
Is trick ke liye Vedic Maths ka koi alag sutra nahi hai. Left-to-right addition ek general mental-maths method hai. Haan, Vedic Maths ke kai tareeke bhi left se shuru hote hain, kyunki mann mein bada hissa pehle sochna aasaan hota hai.
— 📌 charumam.com
🧭 Kab Use Karein, Kab Nahi
| Situation | Trick use karein? | Kyun |
|---|---|---|
| Do 2-digit numbers ka jod, mann mein | ✅ Haan | Sirf teen chhote kadam, kuch likhna nahi. |
| Ikai mein carry nahi (34 + 25) | ✅ Bahut tez | Seedha 5… 9 bol do. |
| Ek number 98 ya 99 ho | ⚠️ Post 1.1 aur tez | 99 + 47 = 100 + 46 seedha. |
| Copy pe bahut lamba jod | ⚠️ Dono chalenge | Copy pe column method bhi theek hai. Mann mein left se. |
| Teacher ne column method ke steps maange | ❌ Answer sheet mein nahi | Wahan school wala tareeka likho. Left-to-right se jawab check kar lo. |
— 📌 charumam.com
❌→✅ Common Mistakes
Galti 1: Carry bhool gaye
Sawaal: 47 + 38
❌ Galat: “Dahai 70, ikai 15 ka 5, to 75.” (15 ka 10 gaayab ho gaya!)
✅ Sahi: poora 15 jodo: 70 + 15 = 85.
Galti 2: Digits chipka diye
Sawaal: 47 + 38
❌ Galat: “4 + 3 = 7, 7 + 8 = 15, to 715.”
✅ Sahi: 7 dahai matlab 70, use 15 mein jodo: 85. Andaaza bhi bataata: 50 + 40 = 90, to 715 ho hi nahi sakta.
Galti 3: Theek 10 ko carry nahi maana
Sawaal: 46 + 34
❌ Galat: “Dahai 4 + 3 = 7, ikai 6 + 4 = 10, yeh 10 se zyada nahi, to 70.”
✅ Sahi: niyam hai “10 ya zyada”. 10 bhi poora bundle hai: 70 + 10 = 80.
🧠 Rule of thumb: Ikai ka jod 10 ya usse zyada? To dahai mein 1 badhao.
— 📌 charumam.com
🏃 Speed Drill: 15 Sawaal, Timer Ke Saath
Timer lagao aur in 15 sawaalon ko left se right mann mein jodo. Pehle 5 aasaan hain, phir carry wale. Target: 3 minute.
- 23 + 45 = ?
- 52 + 36 = ?
- 47 + 38 = ?
- 56 + 27 = ?
- 64 + 29 = ?
- 35 + 46 = ?
- 78 + 15 = ?
- 49 + 37 = ?
- 66 + 28 = ?
- 57 + 64 = ?
- 83 + 49 = ?
- 75 + 68 = ?
- 98 + 87 = ?
- 46 + 54 = ?
- 39 + 93 = ?
Mera time: ______ · Sahi: ____ / 15
Answers dekho (pehle khud karo!)
- 68
- 88
- 85
- 83
- 93
- 81
- 93
- 86
- 94
- 121
- 132
- 143
- 185
- 100
- 132
— 📌 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.
- 21 + 34 = ?
- 42 + 37 = ?
- 15 + 28 = ?
- 36 + 45 = ?
- 27 + 56 = ?
- 44 + 47 = ?
- 58 + 33 = ?
- 62 + 39 = ?
- 71 + 29 = ?
- 85 + 16 = ?
| 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
- 55
- 79
- 43
- 81
- 83
- 91
- 91
- 101
- 100
- 101
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. Left to right addition mein sabse pehle kya jodte hain?
Jawab aur kaaran dekho
Sahi jawab: (a) Dahai (left wale digit)
- (a) sahi ✅: Left se shuru, yaani pehle dahai, jo bada hissa hai.
- (b) galat ❌: Ikai pehle to school wala column method hai, left-to-right nahi.
- (c) galat ❌: Pura bada number pehle nahi, pehle dono numbers ki dahai.
- (d) galat ❌: Random jodne se galti ho sakti hai. Kram fix hai: dahai, phir ikai.
Q2. 47 + 38 mein dahai ka jod kya hai?
Jawab aur kaaran dekho
Sahi jawab: (d) 70
- (a) galat ❌: 7 sirf digit hai. Uski keemat 70 hai, yeh bhoolna nahi.
- (b) galat ❌: 15 to ikai ka jod hai (7 + 8).
- (c) galat ❌: 11 to 4 + 7 hai, jo galat digits ka jod hai.
- (d) sahi ✅: 4 dahai + 3 dahai = 7 dahai = 70.
Q3. 47 + 38 = ?
Jawab aur kaaran dekho
Sahi jawab: (c) 85
- (a) galat ❌: 715 tab aata hai jab digits chipka dete hain.
- (b) galat ❌: 95 mein 10 zyada jud gaye.
- (c) sahi ✅: 70 + 15 = 85.
- (d) galat ❌: 75 tab aata hai jab 15 ka 10 (carry) bhool jaate hain.
Q4. “Carry” ka matlab kya hai?
Jawab aur kaaran dekho
Sahi jawab: (b) 10 ikai ka bundle 1 dahai ban kar aage jaata hai
- (a) galat ❌: Carry mein kuch mitaate nahi, bas aage le jaate hain.
- (b) sahi ✅: Jaise 15 = 1 dahai + 5 ikai. Woh 1 dahai, dahai wali jagah mein jaata hai.
- (c) galat ❌: Carry jod ka hissa hai, ghatane ka nahi.
- (d) galat ❌: Carry galti nahi, place value ka niyam hai.
Q5. 89 + 76 = ?
Jawab aur kaaran dekho
Sahi jawab: (a) 165
- (a) sahi ✅: 150 + 15 = 165.
- (b) galat ❌: 155 mein ikai wala carry bhool gaye.
- (c) galat ❌: 1515 mein 15 aur 15 chipka diye.
- (d) galat ❌: 166 mein ikai 5 ki jagah 6 ho gayi.
Q6. “Aage jhaanko” trick: 56 + 27 mein ikai ka jod 6 + 7 = 13 hai. Dahai pe kya asar hoga?
Jawab aur kaaran dekho
Sahi jawab: (d) Dahai 7 se 8 ho jaati hai
- (a) galat ❌: 13 mein ek 10 ka bundle hai, use dahai mein jodna zaroori hai.
- (b) galat ❌: Sirf 1 badhta hai, 3 nahi.
- (c) galat ❌: Ikai ki jagah pe sirf ek digit aata hai: 3. 1 dahai mein jaata hai.
- (d) sahi ✅: 13 ka matlab 1 dahai + 3. To 5 + 2 = 7 mein 1 badhao: 8. Jawab 83.
Q7. Left to right addition mann mein tez kyun hai?
Jawab aur kaaran dekho
Sahi jawab: (c) Jawab usi kram mein milta hai jaise hum bolte hain, aur bada hissa pehle
- (a) galat ❌: Galti ho sakti hai, isliye check karna zaroori hai.
- (b) galat ❌: Numbers wahi rehte hain, sirf jodne ka kram badalta hai.
- (c) sahi ✅: Pehle 80, phir 5: “pachaasi” seedha bol diya. Ulta palatna nahi padta.
- (d) galat ❌: Carry hota hai, bas thoda baad mein (70 + 15) judta hai.
Q8. 46 + 34 = ?
Jawab aur kaaran dekho
Sahi jawab: (b) 80
- (a) galat ❌: 81 mein 1 zyada aa gaya. 6 + 4 = 10, 11 nahi.
- (b) sahi ✅: 70 + 10 = 80. Ikai ka 10 bhi carry hai.
- (c) galat ❌: 70 tab aata hai jab ikai ka 10 bhool jaate hain.
- (d) galat ❌: 710 mein 7 aur 10 chipka diye.
Q9. Kis jod mein ikai mein koi carry NAHI hai?
Jawab aur kaaran dekho
Sahi jawab: (a) 52 + 36
- (a) sahi ✅: 2 + 6 = 8, jo 10 se kam hai. Jawab seedha 88.
- (b) galat ❌: 7 + 8 = 15, carry hai.
- (c) galat ❌: 6 + 8 = 14, carry hai.
- (d) galat ❌: 5 + 8 = 13, carry hai.
Q10. 64 + 29 = ?
Jawab aur kaaran dekho
Sahi jawab: (d) 93
- (a) galat ❌: 83 tab aata hai jab 13 ka 10 bhool jaate hain.
- (b) galat ❌: 813 mein 8 aur 13 chipka diye.
- (c) galat ❌: 92 mein ikai 3 ki jagah 2 ho gayi.
- (d) sahi ✅: 80 + 13 = 93.
— 📌 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. Do 2-digit numbers ka sabse bada jod kitna ho sakta hai? Kya do 2-digit numbers ka jod 200 ho sakta hai?
Solution dekho
Sabse bada 2-digit number 99 hai. To sabse bada jod 99 + 99: dahai 90 + 90 = 180 (18 dahai = 1 saikda + 8 dahai), ikai 9 + 9 = 18, 180 + 18 = 198. Isliye 200 kabhi nahi ho sakta.
Check: 100 + 98 = 198 ✅ (Post 1.1 trick)
Q2. 47 + 38 + 15 ko left se right jodo.
Solution dekho
Yahan teen numbers hain, to “aage jhaanko” ka +1 kaafi nahi ho sakta. Teen kadam use karo.
Teeno ki dahai: 40 + 30 + 10 = 80. Teeno ki ikai: 7 + 8 + 5 = 20 (yaani 2 dahai, isliye carry 2 hai, 1 nahi). Milao: 80 + 20 = 100 (8 dahai + 2 dahai = 10 dahai = 1 saikda = 100).
Check: 47 + 38 = 85, phir 85 + 15 = 100 ✅
Q3. Olympiad style: koi 2-digit number lo aur uske digit ulte karke naya number banao. Dono ko jodo: 25 + 52 = 77, 34 + 43 = 77, 47 + 74 = 121. Kya jawab hamesha 11 ke pahaade (table) mein aata hai? Kyun?
Solution dekho
Left se right jodo: 25 + 52 mein dahai 2 + 5 = 7, ikai 5 + 2 = 7. Dono jagah same jod aata hai (dono digits ka jod). Dahai mein 7 matlab 7 dahai = 70, ikai mein 7. To jawab = 70 + 7 = 77.
Guna (×) matlab ek number ko baar-baar jodna. 11 ka pahaada (table) = 11 ko baar-baar jodte jaao: 11, 22, 33, 44, 55, 66, 77, 88, 99, 110, 121. 77 isme hai: 7 × 11 = 77 (11 ko 7 baar jodna). Wajah: 7 dahai + 7 ikai = 7 baar (1 dahai + 1 ikai) = 7 baar 11.
47 + 74: dahai 4 + 7 = 11, ikai 7 + 4 = 11. 11 dahai = 110, plus 11 ikai: 110 + 11 = 121. Aur 11 × 11 = 121 bhi pahaade mein hai ✅. Haan, hamesha 11 ke pahaade mein aata hai.
Q4. Dukaan pe ₹68 ka bag aur ₹57 ki bottle li. ₹150 diye. Kitne paise wapas milenge?
Solution dekho
Total: 60 + 50 = 110 (11 dahai = 1 saikda + 1 dahai), 8 + 7 = 15, 110 + 15 = ₹125. Wapas: 150 − 125 = ₹25.
Check: 125 + 25 = 150 ✅
— 📌 charumam.com
🎯 Exam Mein Kahan Kaam Aayega?
| Exam | Kahan kaam aayega |
|---|---|
| School exam (Class 6–8) | Word problems, bill aur score ke sawaalon mein jod mann mein jaldi. Rough mein left-to-right, answer sheet mein school wale steps. |
| Maths Olympiad | Digit ulte karne wale puzzles (Challenge Q3) aur “sabse bada jod” jaise sawaal aate hain. |
| NTSE | Mental Ability mein number puzzles aur series ke liye tez jod chahiye. |
| SSC / Bank (aage chal ke) | Data aur simplification ke sawaalon mein left se jodne se andaaza turant mil jaata 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. Mental Ability section = exam ka woh hissa jisme pattern, series aur puzzle jaise sochne wale sawaal hote hain. Class 6–8 = school ki chhathi se aathvi kaksha.
— 📌 charumam.com
👩🏫 Charu Mam Ka Tip
Bachcho, jodte waqt bolkar jodo: “chaalees aur tees, sattar; saat aur aath, pandrah; sattar aur pandrah, pachaasi!” Shuru mein awaaz se, phir dheere-dheere sirf mann mein. Aur jab bhi TV pe cricket score dikhe, do over ka score left se right jodo. Maza bhi, practice bhi! 🏏
— 📌 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)
Dahai pehle: 60 + 50 = 110 (6 dahai + 5 dahai = 11 dahai = 1 saikda + 1 dahai = 110). Phir ikai: 8 + 7 = 15. Milao: 110 + 15 = 125 ✅
| 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. School mein right se kyun sikhaate hain?
Copy pe likhne ke liye right se jodna aasaan hai, kyunki carry upar likh dete hain aur jawab ek baar mein likha jaata hai. Mann mein jodne ke liye left se tez hai. Dono sahi hain, bas kaam alag hai.
2. Kya exam mein left-to-right likh sakte hain?
Rough work mein haan. Answer sheet mein teacher jo tareeka maangein, wahi likho. Left-to-right se aap apna jawab turant check kar sakte ho.
3. “Aage jhaanko” aur teen kadam wale tareeke mein kaunsa use karein?
Shuru mein teen kadam (dahai, ikai, milao). Jab woh automatic ho jaaye, tab “aage jhaanko” try karo. Woh aur tez hai.
4. Mann mein 70 yaad rakhte hue ikai jodna mushkil lagta hai.
Running total ko zor se bolo, ya ek ungli pe rakh lo. 1 hafte ki practice ke baad yeh apne aap ho jaata hai.
5. Kya yeh 3-digit numbers pe bhi chalta hai?
Haan! Agle post 2.2 mein 3 aur 4-digit numbers left se jodenge: pehle saikda (aur hazaar), phir dahai, phir ikai, har kadam pe running total (ab tak ka jod) ke saath. Carry aur chain carry (jaise 598 + 407) bhi wahin.
6. Ek number 2-digit aur ek 1-digit ho to?
Aur aasaan! 47 + 8: dahai mein kuch nahi judta, bas 7 + 8 = 15, to 40 + 15 = 55.
— 📌 charumam.com
🟢 Recap: Aaj Kya Seekha
- Left to right addition = pehle dahai, phir ikai, phir milao.
- 47 + 38: 40 + 30 = 70, 7 + 8 = 15, 70 + 15 = 85.
- Carry gaayab nahi hota, bas baad mein judta hai (70 + 15).
- Aage jhaanko: ikai ka jod 10 ya zyada ho to dahai mein 1 badhao, phir ikai ka aakhri digit bolo.
- Mann mein tez kyunki jawab bolne ke kram mein aata hai aur bada hissa pehle milta hai.
- Rule of thumb: ikai 10 ya zyada? Dahai +1.
— charumam.com 🎯
👉 Aage Kya?
2-digit pakka ho gaya? Ab badi sankhyaayein! Agle post 2.2 mein 3 aur 4-digit numbers left se right jodenge: saikda (aur hazaar), dahai, ikai, aur purana dost running total. Saath mein carry aur chain carry (598 + 407 jaise sawaal, jahan ek carry se agla carry banta hai).
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
