Bracket Hatana

Class 7 Maths · Chapter 2: Arithmetic Expressions · NCERT Ganita Prakash section 2.2

Seekho

Minus ke baad bracket: 200 − (40 + 3). Pehle 40 ghataana, phir 3 ghataana aasaan hai: 200 − 40 − 3 = 157. Andar ke dono numbers ghatte hain, to 200 − (40 + 3) = 200 − 40 − 3. Jab bracket se pehle minus ho, to bracket hataate samay andar ke har term ka chinh badal jaata hai.

200 − (40 + 3) = 200 − 40 − 3 = 157

Antar ko ghataana: 500 − (250 − 100) = 500 − 150 = 350. Agar poore 250 ghataa dete, to 100 zyaada ghat jaata, isliye wapas jodo: 500 − 250 + 100. Phir andar ke chinh badle: +250 bana −250, aur −100 bana +100.

500 − (250 − 100) = 500 − 250 + 100 = 350

Plus ke baad bracket: Zoya ke ek dabbe mein 28 seepiyaan aur doosre mein 35 hain, phir doosre se 10 de deti hai: 28 + (35 − 10) = 28 + 35 − 10 = 53. Jab bracket plus ke baad ho, terms ke chinh wahi rehte hain. Sirf ratna nahi: socho expression ka matlab kya hai!

28 + (35 − 10) = 28 + 35 − 10 = 53

Terms se khelo: agar 53 + (−16) = 37, to 54 + (−16) 1 zyaada = 38, aur 53 + (−15) bhi 1 zyaada = 38, kyunki −15, −16 se ek zyaada hai. Ek term ko kitna bhi badlo, jod utna hi badlega. Isliye 207 − 68 = 210 − 71: dono numbers 3 badhe.

207 − 68 = 210 − 71 = 139

Explore: bracket hatao.

1. Har expression ko bina bracket wale barabar expression se milaao.

Yaad rakho

• Bracket se pehle minus: andar ke chinh badalte hain (a − (b + c) = a − b − c; a − (b − c) = a − b + c).
• Bracket se pehle plus: chinh wahi. Term badalne se jod utna hi badalta hai.

Quick check

Bracket hatao: 27 − (8 + 3) = ?

1. 27 − 8 − 3
2. 27 − 8 + 3
3. 27 + 8 − 3
4. 27 + 8 + 3

Socho

9 ghataane ke liye ek dost hamesha 10 ghataata aur 1 jodta hai (36 − 9 = 26 + 1). Kya ye hamesha sahi hai? Kyun?

Practice

Teen levels (easy, medium, hard) ke naye sawaalon se practice karo, kuch hands-on, hints aur hal ke saath. Topic poora karne ke liye pichhle 5 mein se 4 sahi karo.