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Integers ka Jaldi Dohraav

Class 7 Maths · Chapter 10: Integers par Kriyaayein · NCERT Ganita Prakash section P2 2.1

Seekho

Ishaan ki paheli: "Main do numbers soch raha hoon. Unka jod 25 aur antar 11." 25 jodne wali jodiyan aazmaao: 20 aur 5 ka antar 15, 19 aur 6 ka 13, 18 aur 7 ka 11. Adla-badli (7 aur 18) karo to antar −11. Jaldi tareeka: pehla = (jod + antar) ÷ 2.

18 + 7 = 25 · 18 − 7 = 11

Carrom ki goti: daayein positive, baayein negative. 5 ka vaar phir −7 ka vaar goti ko 5 + (−7) = −2 par chhodte hain, 0 se do unit baayein. Kisi bhi do vaar a aur b ke liye antim sthaan P = a + b. −4 jaisa number maap (4) aur disha (baayein) dono batata hai.

5 + (−7) = −2

Tokens: + token +1, − token −1, aur ek jodi zero. 7 − 18 ke liye 7 mein se 18 positive nikaalne hain: pehle 11 zero pairs daalo, phir 18 positive nikaalo. 11 negative bachte hain: 7 − 18 = −11.

7 − 18 = −11

Ghataana = inverse jodna: 7 − 18 = 7 + (−18), aur 4 − (−12) = 4 + 12 = 16. a ka additive inverse −a likhte hain: 18 ka inverse −18, aur −18 ka −(−18) = 18.

4 − (−12) = 4 + 12 = 16

Explore: tokens se ghataao.

  1. 3 − 9 ka jawaab tokens se dikhao.
  2. Theek 9 tokens se 2 − (−5) dikhao.

Yaad rakho

  • Integers maap aur disha dono batate hain; a aur b chaal ke baad sthaan a + b.
  • Number ghataana uska additive inverse jodna hai.

Quick check

Do integers ka jod 0 aur antar −10. Ve kya hain?

  1. −5 and 5
  2. 5 and −5
  3. −10 and 0
  4. 0 and 10
Answer

−5 and 5. Pehla = (0 + (−10)) ÷ 2 = −5; doosra = 5. Jaancho: −5 − 5 = −10.

Socho

Goti 1, −2, 3, −4, …, −10 chalti hai. Kahan rukti hai?

Ek answer

Chaalon ki jodi: (1 − 2) + (3 − 4) + … + (9 − 10) = paanch baar −1 = −5.

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.