Class 8 Maths Part 2 Chapter 6: Algebra Play (Hinglish Notes)
Ye chapter 5 lines mein
Algebra Play letter-numbers se tricks aur paheliyon ko samjhaata hai. Har step ko x se likhne par dikhta hai ki number socho wala trick hamesha ek hi jawaab par kyon rukta hai aur date kaise pakdi jaati hai. Yahi tareeka number pyramid aur calendar grid bharta hai, teen ankon se sabse bada guna dhoondhta hai, aur 9, 11, 37 aur 1001 ke divisibility trick saabit karta hai.
Ye chapter kis baare mein hai?
Ab tak algebra ne haalaat ko likhne aur equations hal karne mein madad ki. Is chapter mein algebra ek khel ban jaata hai. Hum number ke trick aur paheliyaan dekhte hain, letter-numbers se samajhte hain ki wo kyon chalte hain, aur phir usi soch se apne trick banaate hain.
Number socho waale trick
Dost se kahiye ki koi bhi number sochein, use double karein, 4 jodein, nateeje ka aadha karein aur jo number pehle socha tha use ghataayein: jawaab 2 aata hai. Shuru ke number ko x likhne par 2x, phir 2x + 4, phir x + 2 aur aakhir mein 2 milta hai, yaani x gaayab ho jaata hai aur har shuruaat 2 par khatm hoti hai. 4 ki jagah 6 jodne par jawaab 3 ho jaata hai. Padhiye: number socho waale trick.
Date pakadna
Ek lambe trick mein dost mahine ko 5 se guna karte hain, 6 jodte hain, 4 se guna karte hain, 9 jodte hain, 5 se guna karte hain aur din jodte hain. Algebra is sabko 100M + 165 + D bana deta hai, isliye jawaab mein se 165 ghataane par pehle mahina aur phir do ankon ka din bachta hai. Jawaab 980 ho to 815 bachta hai, yaani 15 August.
Number pyramid
Number pyramid mein har dibba apne neeche ke do dibbon ka jod rakhta hai. Khaali number aksar ghataakar mil jaate hain; jab kisi dibbe ka sirf ek padosi anjaan na ho, to khaali dibbon ko a, b aur c kahiye aur equations hal kijiye. Teen pankti ke pyramid ka top a + 2b + c hai, aur chaar pankti wale ka a + 3b + 3c + d. Padhiye: number pyramid aur grid.
Grid ka khel
Calendar mein daayein wali date 1 zyada hoti hai aur neeche wali 7 zyada. Isliye dates ka 2 × 2 square a, a + 1, a + 7 aur a + 8 hota hai, aur unka jod 4a + 16 hai: jod 56 bataaya jaaye to a = 10 aata hai. Algebra grid mein aakaar numbers ki jagah hote hain aur har pankti apne jod par khatm hoti hai; shuruaat us pankti se kijiye jismein ek hi tarah ka aakaar ho.
Sabse bada guna
2, 3 aur 5 ko do dibbe guna ek dibbe mein rakhne par chhah guna bante hain. Unhe multiplier ke hisaab se baantkar aur dahaai aur ikaai ki tulna karke pata chalta hai ki 32 × 5 = 160 sabse bada hai. Algebra kisi bhi teen ankon ke liye niyam saabit karta hai: sabse bada ank ek ank wale dibbe mein jaata hai, aur baaki do ank bade ank ko pehle rakhkar do ankon ka number banaate hain. Padhiye: divisibility ke trick aur sabse bada guna.
Divisibility ke trick
Do ankon ka number ab ka matlab 10a + b hai. Is number aur uske ulte number ka antar 9(a − b) hai, isliye wo hamesha 9 se kat jaata hai, aur dono ka jod 11(a + b) hai, isliye wo hamesha 11 se kat jaata hai. Isi tarah abc + bca + cab, 37 se kat jaata hai, aur abcabc, 7, 11 aur 13 se.
Aage badhne se pehle
Koi trick, pyramid ya grid tab saaf ho jaata hai jab uske steps letter-numbers se likhe jaayein, aur yahi tareeka chapter ki phoolon, jaanvaron, umar, gaayon, dosa ke thele aur jinn wali paheliyaan bhi hal karta hai. Har sawaal ka jawaab Part 2 Chapter 6 ke NCERT solutions mein hai.
Key terms (zaroori shabd)
| Term | Matlab |
|---|---|
| Letter-number (akshar-sankhya) | x ya a jaisa akshar jo kisi anjaan number ki, ya kisi bhi number ki, jagah aata hai. |
| Algebraic expression (beejiya vyanjak) | Letter-numbers aur numbers jo operations se jude hon, jaise 2x + 4 ya 100M + 165 + D. |
| Number socho wala trick | Kuch steps jo hamesha aise jawaab par khatm hote hain jo trick karne wale ko pehle se pata ho, chaahe koi bhi number socha jaaye. |
| Equation (sameekaran) | Do expressions ke barabar hone ka kathan, jaise 4a + 16 = 56, jise hal karke letter-number nikaala jaata hai. |
| Number pyramid | Dibbon ki panktiyaan jinmein har dibba apne theek neeche ke do dibbon ka jod hota hai. |
| Algebra grid | Aisa grid jismein aakaar numbers ki jagah hote hain aur har pankti ka aakhri dibba us pankti ka jod batata hai. |
| Multiplicand aur multiplier (gunya aur gunak) | 32 × 5 mein 32 multiplicand hai, yaani jis number ko guna kiya ja raha hai, aur 5 multiplier hai. |
| Do ankon ka number ab | Aisa number jiska dahaai ka ank a aur ikaai ka ank b hai; uska maan 10a + b hai, a × b nahi. |
| Divisible (vibhaajya) | Ek number doosre se divisible hai jab bhaag dene par koi shesh na bache, jaise 54 ko 9 se. |
| Virahanka–Fibonacci numbers | Kram 1, 2, 3, 5, 8, 13, … jismein har pad apne pichhle do padon ko jodkar milta hai. |
Is chapter ke topics
Practice karo
-
x sochiye, double kijiye, 6 jodiye, 2 se bhaag dijiye aur x ghataaiye. Jawaab hai:
Jawab dekho
Jawab: (b) 3
-
Date trick ka jawaab 980 aata hai. Date hai:
Jawab dekho
Jawab: (b) 15 August
-
Neeche ki pankti 2, 6, 5 wale pyramid ka top number hai:
Jawab dekho
Jawab: (b) 19
-
Dates ka ek 2 × 2 square jodne par 56 deta hai. Uski upar-baayein wali date hai:
Jawab dekho
Jawab: (a) 10
-
4, 6 aur 8 ko ek-ek baar lekar, do ankon ke number aur ek ank ke number ka sabse bada guna hai:
Jawab dekho
Jawab: (c) 64 × 8
-
Do ankon ke number aur uske ulte number ka antar hamesha kis se divisible hota hai?
Jawab dekho
Jawab: (b) 9
Students ke sawal
Class 8 Maths Part 2 Chapter 6 ke mukhya topics kya hain?
Number socho wale trick aur date trick, number pyramid, calendar ka jaadu aur algebra grid, teen ankon se sabse bada guna, aur divisibility trick, sab algebra se samjhaaye gaye, aur phir phoolon, jaanvaron, umar, gaayon, dosa ke thele aur jinn ki paheliyaan.
Kya Algebra Play nayi NCERT Class 8 Maths book mein hai?
Haan. Ye Ganita Prakash, Grade 8 Part 2 ka Chapter 6 hai, pehle sanskaran (December 2025) ke pages 135 se 147 par.
Tricks samjhaane ke liye algebra kyon chahiye?
Kuch numbers se trick aazmaane par sirf itna pata chalta hai ki un numbers ke liye wo chala. Steps ko letter-number se likhne par saare numbers ek saath aa jaate hain, isliye saabit ho jaata hai ki trick hamesha chalega, aur use badalne ka tareeka bhi dikhta hai.
Number pyramid kya hai?
Dibbon ka dher jismein har dibba apne theek neeche wale jode ka jod hota hai. Khaali dibbe jodkar, ghataakar ya, zaroorat pade to, letter-number dekar aur hal karke milte hain.
Koi sawal atak gaya?
Photo lo, Lagnever AI step-by-step samjhayega. 7 din ka trial sirf ₹2.
Google Play se app lo Browser mein kholo
Parents ke liye: trial ke baad plan har mahine UPI ya card autopay se renew hota hai. App mein kabhi bhi cancel kar sakte hain.