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Decimals ka Jaldi Dohraav

Class 7 Maths · Chapter 12: Point ke Aage Ek Aur Jhalak · NCERT Ganita Prakash section P2 4.1

Seekho

Decimals hamari sthaan-maan pranaali ko ikaai se aage le jaate hain: 27.53 = 2 dahaai, 7 ikaai, 5 dashaansh aur 3 shataansh. 10, 100, 1000 … denominator wala fraction aasaani se decimal banta hai: 254/1000 = 2/10 + 5/100 + 4/1000 = 0.254.

254/1000 = 0.254

Zoya masaale khareedti hai: 50 g daalchini = 50/1000 kg = 0.05 kg, aur 250 g kaali mirch = 0.25 kg. Kabir likhta hai 173/100 = 1.73 aur 23/1000 = 0.023: ank kam hon to aage zero lagaao.

173/100 = 1.73 · 23/1000 = 0.023

÷ 10, 100, 1000 ka niyam: number ke ant mein decimal point lagaao, bhaajak ke zero gino, aur point utne sthaan baayein le jaao, zaroorat ho to aage zero. 123 ÷ 10 = 12.3, 24 ÷ 100 = 0.24, 12 ÷ 1000 = 0.012.

12 ÷ 1000 = 0.012

10, 100, 1000 se guna point ko daayein le jaata hai: 5.7 × 100 = 570, 0.306 × 1000 = 306. Har baayein sthaan das guna chhota; har daayein das guna bada.

0.306 × 1000 = 306

Explore: decimal rakho.

  1. Marker ko 173/100 par rakho.
  2. Ab 1786/1000 par, is line par sabse paas ke shataansh tak.

Yaad rakho

  • 10, 100, 1000 … wala fraction point ko baayein le jaakar decimal banta hai.
  • × 10ⁿ point ko daayein, ÷ 10ⁿ baayein n sthaan le jaata hai.

Quick check

847/10000 decimal mein?

  1. 0.0847
  2. 0.847
  3. 8.47
  4. 0.00847
Answer

0.0847. Chaar zero: point 4 sthaan baayein, aage ek zero.

Socho

2 kg 25 g ko kilogram mein decimal roop mein likho.

Ek answer

25 g = 25/1000 kg = 0.025 kg, to 2.025 kg.

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.