Decimals ko Dhoondhna aur Tulna

Class 7 Maths · Chapter 3: Point ke Aage Ek Jhalak · NCERT Ganita Prakash section 3.6

Seekho

Number line par: 1.4 = 1 unit aur 4 tenths, to 1 se 2 ke beech ko 10 hisson mein baanto aur 4 lo. 4.185 dhoondhne ke liye kadam-kadam zoom karo: 4 aur 5 ke beech → 4.1 aur 4.2 ke beech → 4.18 aur 4.19 ke beech → beecho-beech, 4.185 par.

4 < 4.1 < 4.18 < 4.185 < 4.19

Zero ki uljhan: kya 0.2, 0.20 aur 0.200 ek hi hain? Haan! Teeno ka matlab 2 tenths; ant ke zero kuch nahi jodte. Par 0.02 (2 hundredths) aur 0.002 (2 thousandths) alag hain, kyunki 2 alag sthaan par hai. To 4.5 = 4.50 = 04.50, par 4.05 aur 4.005 chhote hain.

0.2 = 0.20 = 0.200 but 0.02 ≠ 0.2

Tulna: kaunsa bada, 6.456 ya 6.465? Baayein se ank-ank tulna karo: dono mein 6 units, dono mein 4 tenths; phir 5 hundredths < 6 hundredths, to 6.456 < 6.465. Wahin ruk sakte hain: baad ke ank ek hundredth se kam ke hain. Dhyaan do: zyaada ank ka matlab bada nahi: 3.81 < 13.8.

6.456 < 6.465

Sabse paas ka decimal: 0.9, 1.1, 1.01 aur 1.11 mein se 1 ke sabse paas kaunsa? Kram mein lagao: 0.9 < 1 < 1.01 < 1.1 < 1.11. 1.01 sirf 1/100 door hai, jabki 0.9 aur 1.1, 1/10 door, to 1.01 sabse paas.

|1.01 − 1| = 0.01 < 0.1

Explore: decimals ko kram mein lagao.

1. Numbers ko badhte kram mein lagao.

Yaad rakho

• Decimal ke ant ke zero maan nahi badalte (0.2 = 0.20); point ke theek baad ke zero badalte hain (0.02).
• Baayein se sthaan-sthaan tulna karo; jahan ank pehli baar alag hon, wahin ruko.

Quick check

Kaunsa bada hai: 1.009 ya 1.090?

1. 1.090
2. 1.009
3. They are equal
4. Can't tell

Socho

4, 1, 8, 2 aur 5 ek-ek baar use karke 25 ke jitna paas ho sake decimal number banao.

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.