Chapter 3: Number Play
Numbers hamari zindagi ko vyavasthit karte hain. Is chapter mein hum numbers se khelenge: aas-paas ke numbers dekhenge, patterns pahchaanenge, paheliyan suljhaayenge, andaaza lagaayenge, aur ek game jeetne ka raaz bhi dhoondhenge.
Is chapter mein tum
- numbers mein chhupa sandesh aur supercells dhoondhna
- bade numbers ko number line par padhna aur lagana
- digit sum, palindromes aur Kaprekar ke jaadui number 6174 se khelna
- mental maths, andaaza, aur ek unsolved problem (Collatz) explore karna
- number games mein jeetne ki tarkeeb dhoondhna
Topics
- Numbers kuch batate hain NCERT 3.1
Har bachcha lambe padosiyon ki ginti bolta hai: 0, 1 ya 2.
- Supercells NCERT 3.2
Supercell ka number har padosi (left, right, upar, neeche) se bada hota hai.
- Number line par patterns NCERT 3.3
Jump = (aakhri − pehla) ÷ jumps ki ginti.
- Digits se khel NCERT 3.4
9 one-digit, 90 two-digit, 900 three-digit numbers …
- Palindromes aur Kaprekar ka jaadui number NCERT 3.5–3.6
Palindrome dono taraf ek jaisa padha jaata hai: 575, 1221.
- Ghadi aur Calendar ke Numbers NCERT 3.7
Palindrome times dono taraf same: 1:01, 4:44, 12:21.
- Mental Math NCERT 3.8
Dimaag mein jodne-ghataane ke liye bade numbers ko gol hisson mein todo.
- Number patterns aur Collatz Conjecture NCERT 3.9–3.10
Collatz: even → aadha; odd → 3 × n + 1.
- Aasaan andaaza NCERT 3.11
Numbers ko aasaan values tak round karke andaaza lagao, phir hisaab karo.
- Games aur jeetne ki tarkeeb NCERT 3.12
Jeetne wale number se ulta chalo.
Key words
- Supercell
- jis cell ka number saare padosiyon se bada ho
- Digit sum
- kisi number ke digits ka jod
- Palindrome
- dono taraf same padha jaane wala number, jaise 575
- Kaprekar constant
- 6174: har 4-digit number (saare digits same nahi) yahan pahunchta hai
- Conjecture
- maths ka andaaza jise abhi tak prove nahi kiya gaya
- Estimate
- sahi ginti ki jagah jaldi ka kareebi andaaza
- Strategy
- jeetne mein madad karne wali yojana
Summary
- Numbers jaankari de sakte hain, patterns bana sakte hain, andaaze mein madad karte hain, aur paheliyaan aur khel ban sakte hain.
- Kisi number kaam ke liye saaf steps likhna (jaise Kaprekar ke steps ya Collatz rule) computational thinking kehlaata hai.
- Kuch number sawaal poochhne mein aasaan hain par abhi tak kisi ne jawaab nahi diya, jaise kya Collatz rule hamesha 1 tak pahunchta hai.