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Masti ki Building

Class 6 Maths · Chapter 10: Zero ke Us Paar · NCERT Ganita Prakash section 10.1

Seekho

Sahil ke shehar mein naya Funhouse Tower hai. Zameen ke upar floors +1 se +7: science corner, toy shop, food court aur bahut kuch. Zameen ke neeche floors −1 se −4: parking, bowling alley, snow room aur mirror maze. Entrance zameen par, floor 0.

Zameen ke upar wale floors ko positive number milte hain (+1, +2, …). Neeche wale ko negative (−1, −2, …), padhte hain "minus ek", "minus do". Zero na positive na negative. Saath mein …, −3, −2, −1, 0, +1, +2, +3, … integers kehlaate hain.

Lift ke buttons movement dikhaate hain, floor nahi: +3 matlab 3 floor upar, −2 matlab 2 floor neeche. Nisha floor −2 par hai aur +5 dabaati hai: wo floor +3 pahunchti hai. Likhte hain (−2) + (+5) = +3.

start + movement = target · (−2) + (+5) = +3

Ulta socho: Farhan book café (+4) par hai aur snow room (−3) jaana chahta hai. Kaunsa button? Use 7 floor neeche jaana hai: −7. Movement = target − start: (−3) − (+4) = −7.

target − start = movement · (−3) − (+4) = −7

Upar wale floor ka number bada hota hai. To −1 > −4 (parking mirror maze ke upar hai), aur har positive number har negative se bada hai. Leti hui number line par bade numbers daayein hote hain.

Explore: lift mein ghoomo.

  1. Snow room, floor −3 par jaao.
  2. Tum +2 par ho. Movement −5 banao. Kis floor par pahunche?
  3. Tum mirror maze (−4) mein ho. Food court (+3) jaao. Wo kaunsa movement tha?

Yaad rakho

  • Integers: …, −3, −2, −1, 0, +1, +2, +3, … Negative numbers zero ke neeche (ya baayein) hain.
  • start + movement = target; target − start = movement.

Quick check

Lift floor −1 par hai. Gauri −3 dabaati hai. Kahan rukegi?

  1. −4
  2. +2
  3. −2
  4. +4
Answer

−4. −1 se 3 floor neeche: −2, −3, −4. To (−1) + (−3) = −4.

Socho

Floor +2 se Divit +3, phir −6, phir +4 dabaata hai. Wo kahan pahunchta hai? Kya ek button wahi kar deta?

Ek answer

+2 + 3 = +5, phir +5 − 6 = −1, phir −1 + 4 = +3. Teeno movements ka jod +3 − 6 + 4 = +1, to ek baar +1 dabaana wahi karta.

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.