Integers ka Division

Class 7 Maths · Chapter 10: Integers par Kriyaayein · NCERT Ganita Prakash section P2 2.2

Seekho

Bhaag guna ka sawaal poochhta hai. (−100) ÷ 25: 25 ko kisse guna karein ki −100 mile? 25 × (−4) = −100, to jawaab −4. (−100) ÷ (−4): (−4) × 25 = −100, to jawaab 25. Aur 50 ÷ (−25) = −2.

(−100) ÷ 25 = −4 · (−100) ÷ (−4) = 25

Multiplication jaise hi chinh niyam: a ÷ (−b) = −(a ÷ b), (−a) ÷ b = −(a ÷ b), aur (−a) ÷ (−b) = a ÷ b. 32°C se har ghante 5°C thanda hota kamra 10 ghante baad 32 + 10 × (−5) = −18°C par.

32 + 10 × (−5) = −18

Kai guna-khand: 5 × (−3) × 4 = −60, koi bhi jodi pehle guna karo: guna associative hai, kram se farak nahi. Lambe guna ka chinh negatives ki ginti par: even negative → +, odd → −. (−1) × (−1) × (−1) = −1.

5 × (−3) × 4 = −60

Distributive gun ab bhi chalta hai: 5 × (4 + (−2)) = 5 × 4 + 5 × (−2) = 20 − 10 = 10. Token aayat dikhaata hai kyun: (2 hare + 3 laal) ki 4 panktiyan = 4 × 2 + 4 × (−3). Pattern machine: agar machine a + b − c deti hai, to (−10, −12, −9) → −10 − 12 + 9 = −13.

a × (b + c) = a × b + a × c

Explore: positive ya negative?

1. Nateejon ko chinh se sort karo.

Yaad rakho

• Bhaag mein guna jaise hi chinh niyam.
• Lambe guna mein odd negatives use negative banaate hain.

Quick check

(−56) ÷ (−2) kya hai?

1. 28
2. −28
3. −58
4. 54

Socho

Agar 47 − 56 + 14 − 8 + 2 − 8 + 5 = −4, to −47 + 56 − 14 + 8 − 2 + 8 − 5 kya hai?

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.