Lagnever AI English

Negative numbers kya hain?

Short mein jawab

Negative numbers zero se chhote hain, jinke aage ‘−’ ka nishaan hota hai, jaise −1, −2 aur −3. Bela ki Building of Fun mein ground floor (Floor 0) ke neeche ki manzilon ke number negative aur upar waalon ke positive hain. Zero na positive hai na negative. Number aur uska inverse, jaise +3 aur −3, milkar zero dete hain.

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Kya zero se kam ho sakta hai?

Pehle humne counting numbers 1, 2, 3, … seekhe. Phir aaya 0, jiska matlab kuch nahi, aur beech ke fractions. Ab tak ki number line 0 se shuru hokar sirf daayein jaati thi. Par kya 0 se chhote numbers ho sakte hain? Ground floor se neeche jaati lift, jamaav se bhi thanda taapmaan, ya kisi ka udhaar socho. Ye sab ‘zero se kam’ hone ke tareeke hain.

Bela ki Building of Fun

Bela ne bachchon ke liye ek kai manzil ki imaarat ko Building of Fun bana diya, jiski kuch manzilein zameen ke neeche hain. Ek lift manzilon ke beech chalti hai. Isme do button hain: upar jaane ke liye ‘+’ aur neeche jaane ke liye ‘−’.

  • ‘+’ do baar dabaana + + ya +2 likhte hain (do manzil upar).
  • ‘−’ teen baar dabaana − − − ya −3 likhte hain (teen manzil neeche).
Bela ki Building of Fun: ground floor Floor 0 hai, upar ki manzilein +1 se +6 aur neeche ki −1 se −5
Manzilein integers ke roop mein

Manzilon ke number

Entry, yaani Welcome Hall, ground floor pe hai. Wahan se Food Court jaane ke liye +1 dabaate ho, isliye Food Court Floor +1 pe hai; Art Centre Floor +2 pe hai. Toy Store jaane ke liye −1 dabaate ho, isliye wo Floor −1 pe hai; Video Games ki dukaan Floor −2 pe hai. Ground floor Floor 0 hai, kyunki wahan se wahan pahunchne ke liye koi button nahi dabaana padta.

Zameen ke upar ki manzileinGroundZameen ke neeche ki manzilein
+1 Food Court, +2 Art Centre, +3 Books, +4 Ice Cream, +5 Sports, +6 Space0 Welcome Hall−1 Toys, −2 Video Games, −3 Cinema, −4 Ghost House, −5 Dinosaur

Dhyan do ki +3 kitaabon ki dukaan ka floor number bhi hai aur +3 dabaane pe chali manzilon ki ginti bhi.

Positive, negative aur zero

  • Jis number ke aage ‘+’ ho, wo positive number hai. Zameen ke upar ki manzilon ke number positive hain.
  • Jis number ke aage ‘−’ ho, wo negative number hai. Zameen ke neeche ki manzilon ke number negative hain.
  • Zero na positive hai na negative, isliye iske aage koi nishaan nahi lagaate.

Wapas zero pe: inverse

Jaldi mein Basant ground floor pe galti se +3 daba deta hai. Ground floor pe rehne ke liye wo −3 dabaakar ise cancel kar sakta hai: (+3) + (−3) = 0. Hum −3 ko +3 ka inverse kehte hain, aur +3 ko −3 ka. Number aur uska inverse hamesha milkar zero dete hain, isiliye inverse ko additive inverse bhi kehte hain. +4 ka inverse −4, −1 ka +1, aur 0 ka 0 hai.

Manzilon se tulna

Neeche ki manzil ka number chhota hota hai. Floor +3, Floor +4 ke neeche hai, isliye +3 < +4. Floor −4, Floor −3 ke neeche hai, isliye −4 < −3. Har negative manzil Floor 0 ke neeche hai, isliye har negative number 0 se chhota hai, aur har positive number 0 se bada.

Aas-paas negative numbers

Negative numbers kai jagah dikhte hain. Paani ke jamne ke bindu, 0°C, se neeche ka taapmaan negative hai; sea level se neeche ki oonchaai negative hai; aur bank khaate mein nikaala gaya paisa (debit) negative gina jaata hai. Ye saare numbers kahan baithte hain, ye dekhne ke liye padho number line pe integers.

Practice karo

  1. Building of Fun mein Toy Store ground floor se ek manzil neeche hai. Uska floor number kya hai?

    1. (a) +1
    2. (b) 0
    3. (c) −1
    4. (d) −2
    Jawab dekho

    Jawab: (c) −1

  2. Teen manzil neeche jaane ke liye kaunse button dabaoge?

    1. (a) + + +
    2. (b) − − −
    3. (c) + −
    4. (d) +3
    Jawab dekho

    Jawab: (b) − − −

  3. +9 ka inverse kya hai?

    1. (a) +9
    2. (b) −9
    3. (c) 0
    4. (d) 1/9
    Jawab dekho

    Jawab: (b) −9

  4. Do rozmarra ki sthitiyan batao jahan negative numbers use hote hain.

    Jawab dekho

    Jawab: 0°C se neeche ka taapmaan, jaise sardiyon ki raat mein Leh mein −4°C, aur sea level se neeche ki oonchaai. Bank khaate ka debit aur zameen ke neeche ki manzilein bhi udaharan hain.

  5. Floor +2 se tum −3 dabaate ho. Kahan pahunchoge? Expression likho.

    Jawab dekho

    Jawab: Floor −1, yaani Toy Store: (+2) + (−3) = −1.

Students ke sawal

Negative number kya hota hai?

Zero se chhota number. Iske aage ‘−’ ka nishaan lagta hai, jaise −3, aur ye number line pe 0 ke baayein hota hai.

Zero positive hai ya negative?

Dono nahi. Zero positive aur negative numbers ke beech ka reference point hai, isliye iske aage koi nishaan nahi lagaate.

Kisi number ka inverse kya hota hai?

Wo number jo usme jodne pe zero de. +3 ka inverse −3 hai, aur −3 ka inverse +3. 0 ka inverse 0 hai.

Rozmarra mein negative numbers kahan dikhte hain?

0°C se neeche ke taapmaan mein, sea level se neeche ki oonchaai mein, basement ki manzilon mein, aur bank khaate mein, jahan debit (nikaala gaya paisa) negative hota hai.

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