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Integers aur Kahan

Class 6 Maths · Chapter 10: Zero ke Us Paar · NCERT Ganita Prakash section 10.3

Seekho

Paisa. Kabir ke school bank khaate mein ₹200 hain. Wo trip ke liye ₹250 nikaalta hai; bank bachchon ko thoda udhaar deta hai. Ab balance −₹50 hai: use ₹50 lautaane hain. Jama paisa +, nikaala paisa −.

200 − 250 = −50

Taapmaan. Paani 0 °C par jamta hai. Sardi ki raat ek pahaadi gaon mein thermometer −8 °C dikha sakta hai, jamne se 8 degree neeche. Agar dopahar tak 11 degree garam ho, to (−8) + 11 = +3 °C.

Oonchai. Oonchai samudra tal (0 m) se naapi jaati hai. Pahaadi ki choti +900 m ho sakti hai; jheel ya samudra ki tali −40 m. −40 m se +900 m tak 900 − (−40) = 940 m.

900 − (−40) = 940

Khel. Quiz mein sahi answer +10 aur galat −5. Tenzin ke 3 sahi aur 4 galat: 30 + (−20) = +10. Football mein jis team ne 2 goal kiye aur 5 khaaye, uska goal difference −3 hai.

Explore: number line ko leta hua thermometer samjho.

  1. −7 °C hai. Point wahan rakho.
  2. 3 °C tha aur taapmaan 8 degree gira. Naya taapmaan dikhao.
  3. −₹4 sau ke balance mein +₹9 sau aaye. Naya balance dikhao (sau mein).

Yaad rakho

  • Integers jama aur nikaale paise, zero se neeche taapmaan, samudra tal se neeche oonchai, aur score batate hain.
  • Positive aur negative number ke beech ki doori ghataakar milti hai: 900 − (−40) = 940.

Quick check

Taapmaan −2 °C hai aur 5 degree girta hai. Ab kitna hai?

  1. −7 °C
  2. +3 °C
  3. −3 °C
  4. +7 °C
Answer

−7 °C. Girna matlab neeche jaana: (−2) − 5 = −7.

Socho

Meher ka balance −₹30 hai. Rohan ka −₹80. Kis par zyada udhaar hai? Kiska balance bada hai?

Ek answer

Rohan par zyada udhaar hai (₹80). Par Meher ka balance bada hai, kyunki −30 > −80: wo zero ke zyada paas, number line par zyada daayein 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.