Chapter 10 ka aakhri post! 🏆 Aaj 10.1–10.3 ka mix: do guna ek saath (jodi banao), ulte sawaal jahan jawab se number dhoondhna hai, dhokhe jaise × 98 jo 99 jaisa dikhta hai par hai nahi, aur Chapter 4 se dosti: 9 × 11 = 99.
⏱ Before Timer: Pehle Purane Tareeke Se
Pehle seedha tareeka. Dono guna alag karo, phir jodo.
- 36 × 99 = 3600 − 36 = 3564.
- 64 × 99 = 6400 − 64 = 6336.
- Jodo: 3564 + 6336 = 9900.
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
36 × 99 + 64 × 99 = 9900
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
Chahiye: Post 10.1–10.3 ki teeno tricks, aur niyam: nau ginno, digit ginno. Neeche ke boxes mein 9/99/999 aur “baaki” dobara. Naye shabd:
📖 Shabd jo is post mein aayenge
- Jodi banao: jab do guna mein ek hi number (jaise 99) ho, to doosre numbers pehle jod lo: 36 × 99 + 64 × 99 = 100 × 99.
- Ulta sawaal: jawab diya hai, number dhoondhna hai: □ × 99 = 5841.
- □ (dabba): khaali jagah: jo number dhoondhna hai.
- Dhokha: sawaal jo is chapter jaisa dikhe par trick seedhe na lage (× 98).
- 9 × 11 = 99: 9 aur 11 ka guna 99: isliye “× 9, phir × 11” = “× 99”.
📏 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.
9️⃣ 9, 99 aur 999 kya hain? (Round number se 1 kam)
Pehle round number yaad karo: jiske peeche (right mein) sirf zero hon: 10, 100, 1000. Ab dekho:
| Number | Kis round number se 1 kam | Kitne 9 | Round number mein kitne 0 |
|---|---|---|---|
| 9 | 10 − 1 = 9 | ek 9 | 10 mein ek 0 |
| 99 | 100 − 1 = 99 | do 9 | 100 mein do 0 |
| 999 | 1000 − 1 = 999 | teen 9 | 1000 mein teen 0 |
Yaad rakho: jitne 9, utne 0. 99 mein do 9 hain, to uska “dost” round number 100 hai (do 0). Is poore chapter ki chaabi yahi hai: 9, 99, 999 se guna karna mushkil lagta hai, par 10, 100, 1000 se guna bahut aasaan hai.
🔟 10, 100, 1000 se “baaki” (Chapter 3 ki trick)
“Baaki” matlab: kitna aur chahiye taaki round number poora ho jaaye. Jaise 47 se 100 tak kitna? 53. Isse 100 se baaki kehte hain (100 − 47 = 53).
Post 3.1 aur 3.2 ki trick: aakhri digit ko 10 se poora karo, baaki har digit ko 9 se.
| Sawaal | Kaise | Baaki |
|---|---|---|
| 10 − 7 | 7 ko 10 se poora: 10 − 7 = 3 | 3 |
| 100 − 47 | 4 ko 9 se: 9 − 4 = 5; 7 ko 10 se: 10 − 7 = 3 | 53 |
| 100 − 8 | 8 ko 08 socho: 9 − 0 = 9; 10 − 8 = 2 | 92 |
| 1000 − 376 | 9 − 3 = 6, 9 − 7 = 2, 10 − 6 = 4 | 624 |
| 1000 − 47 | 047 socho: 9 − 0 = 9, 9 − 4 = 5, 10 − 7 = 3 | 953 |
Khaane (digit ki jagah) aur 0 bharna: 100 se baaki hamesha do khaane mein likhte hain, kyunki 100 mein do 0 hain. 100 − 99 = 1, par do khaane mein likho 01. Isi tarah 1000 se baaki teen khaane mein: 1000 − 995 = 5 → 005. Aage yeh bahut kaam aayega.
Ek aur dhyaan: agar aakhri digit 0 ho (jaise 100 − 40), to 9/10 wali trick seedhe mat lagao; 100 − 40 = 60 seedha karo.
🔁 Chhota sa warm-up
- 36 + 64 = ?
- 100 × 99 = ?
- 100 − 37 = ?
Answers dekho
- 100
- 9900
- 63
Pehle do mila kar aaj ka Before Timer sawaal ho gaya!
— 📌 charumam.com
🎬 Kahani: Riya Ki Copy Mein Galti?
Riya ne homework mein 123 × 99 ka jawab 122877 likha. Aarav ne dekha aur hasa: “Riya, tumne to 999 se guna kar diya!”
Riya: “Kaise?” Aarav: “123 mein 3 digit, 99 mein sirf 2 nau. Shortcut nahi chalega. Seedha: 12300 − 123 = 12177. Aur tumhara 122877 asal mein 123 × 999 hai: 122 | 877!”
CharuMam muskurayin: “Dono ne kuch seekha. Ek niyam ka dhyaan, aur ek jawab se sawaal pehchanna. Aaj aise hi sawaal karenge.” 🏆
— 📌 charumam.com
🪄 Trick Step by Step: Pehchano, Gino, Phir Chalo
💡 Is post ki ek badi baat: Har tricky sawaal mein pehle pehchano (9, 99, 999 ya dhokha?), phir nau aur digit gino (shortcut ya seedha?), aur ulte sawaal mein: left + 1 = number, right se check (number + right = 10, 100 ya 1000).
Step 1: Pehchano: kaun sa nau?
9, 99, 999 → is chapter ki trick. 98, 997 jaise → dhokha (neeche dekho). Do guna jinme same 99 → jodi banao.
Step 2: Gino: shortcut ya seedha?
Digit ≤ nau → ek kam | baaki. Digit zyada → peeche 0, number ghatao. 303 × 99: 3 digit, 2 nau → seedha 30300 − 303 = 29997.
Step 3: Ulta sawaal: left + 1
□ × 99 = 5841: jawab ko right se 2 khaane pe todo: 58 | 41. Left 58 = □ − 1, to □ = 59. Check: 59 + 41 = 100 ✅. (999 ho to 3 khaane pe todo.)
⚠️ Dhyaan: yeh ulti trick tabhi chalti hai jab □ ke digit, 9 ki ginti se zyada na hon (Post 10.3 wala niyam). Jaise □ × 9 = 423 mein □ 2 digit ka hoga par 9 sirf ek, to “left + 1” nahi chalega. Andaaza: 9 × 10 = 90, aur 423 usse bada hai, to □ kam se kam 2 digit ka hai. Isliye wahan neeche Speed Drill ke answers mein diya tareeka lo.
Step 4: Dhokha: × 98
98 = 100 − 2. To 47 × 98 = 4700 − 47 − 47 = 4700 − 94 = 4606. Number do baar ghatao, ek baar nahi!
Step 5: Jodi aur 9 × 11
36 × 99 + 64 × 99 = (36 + 64) × 99. Bracket wala hissa pehle karo: 36 + 64 = 100. To 100 × 99 = 9900. Aur 36 × 9 × 11: 9 × 11 = 99, to 36 × 99 → 35 | 64 → 3564.
Tricky sawaal ke type, ek nazar mein
| Type | Example | Kaise | Jawab |
|---|---|---|---|
| Jodi banao | 36 × 99 + 64 × 99 | 100 × 99 | 9900 |
| Ulta (99) | □ × 99 = 2871 | 28 | 71 → 28 + 1 | 29 |
| Ulta (999) | □ × 999 = 246753 | 246 | 753 → 246 + 1 | 247 |
| Dhokha | 47 × 98 | 4700 − 94 | 4606 |
| 9 × 11 | 36 × 9 × 11 | 36 × 99 | 3564 |
| Ek aur jodo | 25 × 99 + 25 | 25 × 100 | 2500 |
Ek line mein: pehchano → gino → shortcut ya seedha → andaaze se check.
🆘 Atak gaye? Aise socho
- Ulta sawaal mein left kitna? 99 ho to jawab ke aakhri 2 digit chhod kar baaki; 999 ho to aakhri 3 chhod kar.
- □ = left ya left + 1? Left + 1 (ek note toota tha), jab tak □ ke digit 9 ki ginti se zyada na hon.
- × 98 ya × 97? 100 − 2 ya 100 − 3: number utni baar ghatao.
- Check: □ + right = 100 (ya 1000). 59 + 41 = 100 ✅
— 📌 charumam.com
🔍 Yeh Kaam Kyun Karta Hai?
Ulta sawaal kyun “left + 1”? Post 10.2 ke noton ko yaad karo.
- □ × 99 mein □ note ₹100 ke the. Ek toota, to poore note = □ − 1. Yahi left hissa hai.
- To left 58 hai, matlab □ − 1 = 58, yaani □ = 59.
- Toote note se ₹□ diye, bache 100 − □ = right hissa: 100 − 59 = 41 ✅. Isliye check: □ + right = 100.
Dhokha × 98 kyun 2 baar? 98 matlab har cheez ₹100 se ₹2 sasti. 47 cheezon pe 47 × 2 = ₹94 kam. To 4700 − 94. (Neeche ka naksha poora tareeka dikhata hai.)
Jodi banao: patti se
36 × 99 aur 64 × 99 dono 99 ki pattiyaan hain. Saath rakho to 100 pattiyaan, har ek 99 ki: 100 × 99 = 9900. Ya: 100 × 100 = 10000 ki badi patti mein se 100 ka tukda kaato.
— 📌 charumam.com
✏️ Solved Examples (Har Ek Normal Tareeke Se Check)
Example 1: □ × 999 = 246753. □ = ?
3 khaane pe todo: 246 | 753. □ = 246 + 1 = 247. Check: 247 + 753 = 1000 ✅.
✔️ Normal tareeke se check: 247000 − 247 = 246753 ✅
Example 2: 47 × 98 = ? (dhokha)
98 = 100 − 2. 4700 − 47 − 47 = 4700 − 94 = 4606.
✔️ Normal tareeke se check: Tukdon mein: 47 × 100 = 4700, 47 × 2 = 94, 4700 − 94 = 4606 ✅
Example 3: 36 × 9 × 11 = ?
9 × 11 = 99. To 36 × 99: left 35, right 64 → 3564.
✔️ Normal tareeke se check: 36 × 9 = 324, phir 324 × 11 = 324 × 10 + 324 = 3240 + 324 = 3564 ✅
Example 4: 25 × 99 + 25 = ?
25 baar 99, aur ek 25 aur: 25 baar 100 = 2500.
✔️ Normal tareeke se check: 25 × 99 = 2475, 2475 + 25 = 2500 ✅
— 📌 charumam.com
🕉️ Vedic Maths Connection
Vedic Maths mein ulte sawaal ke liye alag sutra nahi chahiye: “Ekanyunena Purvena” (ek kam) ko ulta chalao, yaani left mein ek jodo. Aur right ko Nikhilam (9 aur 10 wali trick) se check karo. Ek hi niyam, dono disha mein!
— 📌 charumam.com
🧭 Kab Use Karein, Kab Nahi
| Situation | Trick use karein? | Kyun |
|---|---|---|
| Same × 99 do baar (36 × 99 + 64 × 99) | ✅ Jodi banao | 100 × 99. |
| □ × 99 / □ × 999 | ✅ Ulta | Left + 1. |
| × 98, × 97 | ⚠️ Dhokha | 100 − 2: 2 baar ghatao. |
| 3-digit × 99 (303 × 99) | ⚠️ Seedha | 30300 − 303. |
| × 9 × 11 | ✅ × 99 bana lo | 9 × 11 = 99. |
| × 101, × 1001 | ❌ Is chapter ka nahi | Yeh jodne wali trick hai, aage dekhenge. |
— 📌 charumam.com
❌→✅ Common Mistakes
Galti 1: Ulte sawaal mein □ = left
Sawaal: □ × 99 = 5841
❌ Galat: □ = 58.
✅ Sahi: left = □ − 1, to □ = 59. Check: 58 + 41 = 99 ❌, 59 + 41 = 100 ✅.
Galti 2: × 98 ko × 99 jaisa kiya
Sawaal: 47 × 98
❌ Galat: 46 | 53 → 4653 (yeh to 47 × 99 hai).
✅ Sahi: 2 baar ghatao: 4700 − 94 = 4606.
Galti 3: Digit zyada, phir bhi shortcut
Sawaal: 123 × 99
❌ Galat: 122 | 877 → 122877 (yeh 123 × 999 hai).
✅ Sahi: 3 digit, 2 nau → seedha: 12300 − 123 = 12177.
Galti 4: Jodi mein galat jod
Sawaal: 36 × 99 + 64 × 99
❌ Galat: 36 + 64 = 100, phir 100 × 100 = 10000.
✅ Sahi: 99 waisa hi rahega: 100 × 99 = 9900.
🧠 Rule of thumb: Pehchano (9/99/999 ya dhokha), gino (shortcut ya seedha), ulte mein left + 1, aur hamesha andaaze se check.
— 📌 charumam.com
🏃 Speed Drill: 15 Sawaal, Timer Ke Saath
Timer lagao. 15 mix sawaal, kuch ulte bhi. Target: 5 minute.
- 19 × 99 = ?
- 81 × 999 = ?
- 6 × 999 = ?
- 36 × 99 = ?
- 140 × 9 = ?
- 55 × 999 = ?
- 303 × 99 = ?
- 99 × 47 = ?
- 9 × 999 = ?
- 11 × 9 = ?
- 58 × 98 = ?
- 12 × 9 × 11 = ?
- □ × 99 = 2871. □ = ?
- □ × 999 = 63936. □ = ?
- □ × 9 = 423. □ = ?
Mera time: ______ · Sahi: ____ / 15
Answers dekho (pehle khud karo!)
- 1881
- 80919
- 5994
- 3564
- 1260
- 54945
- 29997
- 4653
- 8991
- 99
- 5684
- 1188
- 29
- 64
- 47
Kaise kiya (kuch): 99 × 47 = 47 × 99 (jagah badlo): 46 | 53 → 4653. 58 × 98: 5800 − 116 = 5684.
⚠️ □ × 9 = 423 (Q15): yahan ulti trick (left + 1) nahi chalti, kyunki □ 2 digit ka hai aur 9 sirf ek hai (digit, 9 ki ginti se zyada). Andaaza: 9 × 10 = 90, aur 423 usse bada hai, to □ kam se kam 2 digit ka hai. Aasaan tareeka: socho 9 × kitna = 423? 9 × 40 = 360 (Post 10.1 ke Q10 jaisa). 423 − 360 = 63, aur 63 = 9 × 7. To □ = 40 + 7 = 47. Check: 47 × 9 = 470 − 47 = 423 ✅
— 📌 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.
- 99 × 9 = ?
- 999 × 9 = ?
- 25 × 99 = ?
- 75 × 999 = ?
- 18 × 99 = ?
- 101 × 9 = ?
- 49 × 99 = ?
- 999 × 2 = ?
- 64 × 9 = ?
- 30 × 999 = ?
| 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
- 891
- 8991
- 2475
- 74925
- 1782
- 909
- 4851
- 1998
- 576
- 29970
Dhyaan: 999 × 9 = 9 × 999: 8 | 991 → 8991. 101 × 9: seedha 1010 − 101 = 909. 999 × 2: 1 | 998 → 1998.
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. 36 × 99 + 64 × 99 = ?
Jawab aur kaaran dekho
Sahi jawab: (d) 9900
- (a) galat ❌: 10000: 36 + 64 = 100 ke baad 99 ki jagah 100 se guna kar diya.
- (b) galat ❌: 9800: 100 × 98 kar diya; 99 tha.
- (c) galat ❌: 6336: sirf 64 × 99 kiya, 36 × 99 bhool gaye.
- (d) sahi ✅: (36 + 64) × 99 = 100 × 99 = 9900.
Q2. □ × 999 = 246753. □ = ?
Jawab aur kaaran dekho
Sahi jawab: (c) 247
- (a) galat ❌: 753: right ko □ maan liya.
- (b) galat ❌: 245: 1 jodne ki jagah ghata diya.
- (c) sahi ✅: Left 246 + 1 = 247. Check: 247 + 753 = 1000 ✅.
- (d) galat ❌: 246: left ko hi □ maan liya; 246 × 999 = 245754.
Q3. 47 × 98 = ?
Jawab aur kaaran dekho
Sahi jawab: (b) 4606
- (a) galat ❌: 4559: teen baar ghata diya (4700 − 141); yeh 47 × 97 hai.
- (b) sahi ✅: 4700 − 94 = 4606 (47 do baar ghataya).
- (c) galat ❌: 4653: sirf ek baar ghataya; yeh 47 × 99 hai.
- (d) galat ❌: 4700: kuch ghataya hi nahi; yeh 47 × 100 hai.
Q4. 36 × 9 × 11 = ?
Jawab aur kaaran dekho
Sahi jawab: (a) 3564
- (a) sahi ✅: 9 × 11 = 99, to 36 × 99 = 3564.
- (b) galat ❌: 324: sirf 36 × 9 kiya, × 11 bhool gaye.
- (c) galat ❌: 3960: 9 ki jagah 10 le liya: 360 × 11 = 3960.
- (d) galat ❌: 3600: 99 ki jagah 100 le liya.
Q5. 25 × 99 + 25 = ?
Jawab aur kaaran dekho
Sahi jawab: (d) 2500
- (a) galat ❌: 2475: sirf 25 × 99, + 25 bhool gaye.
- (b) galat ❌: 2574: 25 ki jagah 99 jod diya: 2475 + 99.
- (c) galat ❌: 2525: 25 × 100 = 2500 ke baad phir se 25 jod diya.
- (d) sahi ✅: 25 baar 99 + ek 25 = 25 baar 100 = 2500.
Q6. 81 × 999 = ?
Jawab aur kaaran dekho
Sahi jawab: (c) 80919
- (a) galat ❌: 81919: left mein 1 kam karna bhool gaye.
- (b) galat ❌: 80081: right mein baaki ki jagah 81 hi 3 khaane mein likh diya (081).
- (c) sahi ✅: Left 80, right 1000 − 81 = 919 → 80919.
- (d) galat ❌: 8019 to 81 × 99 hai (2 khaane).
Q7. Kaun sa sawaal “dhokha” hai (9/99/999 wali trick seedhe nahi)?
Jawab aur kaaran dekho
Sahi jawab: (b) 58 × 98
- (a) galat ❌: 58 × 9: seedha 580 − 58 = 522, Post 10.1 ki trick.
- (b) sahi ✅: 98 = 100 − 2: 2 baar ghatana: 5800 − 116 = 5684.
- (c) galat ❌: 58 × 99: 57 | 42 → 5742, trick chalti hai.
- (d) galat ❌: 58 × 999: 57 | 942 → 57942, trick chalti hai.
Q8. □ × 99 = 2871. □ = ?
Jawab aur kaaran dekho
Sahi jawab: (a) 29
- (a) sahi ✅: Left 28 + 1 = 29. Check: 29 + 71 = 100 ✅.
- (b) galat ❌: 28: left ko hi □ maan liya; 28 × 99 = 2772.
- (c) galat ❌: 71: right ko □ maan liya.
- (d) galat ❌: 2970: 2871 + 99 kar diya; yeh □ nahi.
Q9. 303 × 99 = ?
Jawab aur kaaran dekho
Sahi jawab: (d) 29997
- (a) galat ❌: 302697: shortcut laga diya aur 1000 se baaki liya: 302 | 697.
- (b) galat ❌: 30300: sirf 303 × 100, ghatana bhool gaye.
- (c) galat ❌: 29700: sirf 300 × 99 kiya, 3 × 99 bhool gaye.
- (d) sahi ✅: 3 digit, 2 nau → seedha: 30300 − 303 = 29997.
Q10. 999 × 999 + 999 = ?
Jawab aur kaaran dekho
Sahi jawab: (c) 999000
- (a) galat ❌: 1000000: 999 ki jagah 1000 × 1000 kar diya.
- (b) galat ❌: 999999: 999000 ke baad phir se 999 jod diya.
- (c) sahi ✅: 999 baar 999 + ek 999 = 1000 baar 999 = 999000.
- (d) galat ❌: 998001: sirf 999 × 999, + 999 bhool gaye.
— 📌 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. Pattern: 9 × 9 = 81, 99 × 99 = 9801, 999 × 999 = 998001. Agla?
Solution dekho
9999 × 9999 = 99980001. Ek kam: 9998. Baaki 10000 − 9999 = 1, 4 khaane mein 0001. Saath: 9998 | 0001.
Check: 99990000 − 9999 = 99980001 ✅
Q2. Ek 2-digit number ko 99 se guna kiya. Jawab ke aakhri do digit 37 hain. Number?
Solution dekho
Right = 100 − number, to 100 − number = 37 → number = 100 − 37 = 63.
Check: 63 × 99 = 6300 − 63 = 6237 ✅ (aakhri do digit 37).
Q3. 12 × 999 + 12 = ?
Solution dekho
12 baar 999 + ek 12 = 12 baar 1000 = 12000.
Check: 12 × 999 = 11988, 11988 + 12 = 12000 ✅
Q4. Riya ne 123 × 99 ka jawab 122877 likha. Sahi jawab kya hai, aur Riya ne asal mein kya guna kiya?
Solution dekho
123 mein 3 digit, 99 mein 2 nau → seedha: 12300 − 123 = 12177. Riya ka 122877 asal mein 123 × 999 hai (122 | 877).
Check: 123000 − 123 = 122877 ✅
— 📌 charumam.com
🎯 Exam Mein Kahan Kaam Aayega?
| Exam | Kahan kaam aayega |
|---|---|
| School exam (Class 6–8) | Jodi banao wale sawaal aur bill ka hisaab. |
| Maths Olympiad | Ulte sawaal, pattern (9999 × 9999) aur galti pakdo. |
| NTSE / MAT | Mental maths aur number series. |
| SSC / Bank (aage) | Simplification: 36 × 99 + 64 × 99 jaise. |
Shabdon ka matlab: Olympiad = school ke bachchon ki maths pratiyogita (competition). NTSE = Class 10 ke bachchon ka ek national scholarship (vazifa) exam. MAT = Mental Ability Test, yaani sochne-samajhne ki pariksha (NTSE ka ek hissa). SSC / Bank exam = badon ke sarkari naukri ke exam. Simplification = lambe hisaab ko chhota karke jawab nikaalna. Class 6–8 = school ki chhathi se aathvi kaksha.
— 📌 charumam.com
👩🏫 CharuMam Ka Tip
Mantra: “pehchano, gino, phir chalo.” Har tricky sawaal pe 3 second ruko: nau kitne, digit kitne, dhokha to nahi? Chapter 10 poora! Ab Speed Maths ke saare chapters wale page pe agla chapter dekhte raho. 🏆
— 📌 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)
Dono mein × 99. 36 baar 99 aur 64 baar 99, yaani kul (36 + 64) baar 99, matlab 100 baar 99: 9900 ✅ (Jodi banao!)
| 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. Ulte sawaal mein jawab ko kahan todun?
Jitne 9, utne khaane right se: 99 → aakhri 2 digit, 999 → aakhri 3. Par yeh tabhi jab □ ke digit, 9 ki ginti se zyada na hon; warna (jaise □ × 9 = 423) tukdon mein socho: 9 × 40 = 360, bacha 63 = 9 × 7, to □ = 47.
2. × 98 ke liye koi aur tareeka?
Agar doosra number bhi 100 ke paas ho (97 × 98), to Chapter 7 ka base method. Warna 100 − 2 wala tareeka.
3. 9 × 11 = 99 kahan kaam aata hai?
Jab sawaal mein × 9 aur × 11 dono hon: seedha × 99 kar do.
4. Ab aage kya?
Speed Maths ke page pe agle chapter aate rahenge. Tab tak Chapter 10 ki drill roz 5 minute.
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🟢 Recap: Aaj Kya Seekha
- Pehchano: 9/99/999 ya dhokha (98).
- Gino: digit ≤ nau → shortcut, warna seedha.
- Ulta sawaal: □ = left + 1, check □ + right = 100/1000.
- Jodi: 36 × 99 + 64 × 99 = 100 × 99.
- × 98 = 100 − 2: do baar ghatao.
- 9 × 11 = 99.
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👉 Aage Kya?
Chapter 10 poora! 🎉 Ab Speed Maths ke saare chapters wale page pe jaao, aur agla chapter jald aa raha hai. Tab tak 10.1–10.4 ki drill dohraate raho.
Koi doubt? CharuMam AI Tutor se poochho, ya comment mein likho! 💬
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