Decimals ka Division

Class 7 Maths · Chapter 12: Point ke Aage Ek Aur Jhalak · NCERT Ganita Prakash section P2 4.3

Seekho

Meher 3.9 m feeta 10 barabar tukdon mein kaatti hai: 3.9 ÷ 10 = 39/10 × 1/10 = 39/100 = 0.39 m; 100 tukdon mein 0.039 m. Do mein baantne par 29 m se 14 m har ek aur 1 m bacha, jo 1/2 = 5/10 = 0.5 m aur: 14.5 m. Chaar mein: 29/4 = (29 × 25)/100 = 7.25 m.

29 ÷ 4 = 725/100 = 7.25

Lambi bhaag point ke aage chalti hai. 1325 ÷ 4: 331, 1 ikaai bachi. 1 ikaai ko 10 dashaansh banao (bhaagphal mein point likho): 10 dashaansh ÷ 4 = 2 dashaansh, 2 bache; 20 shataansh ÷ 4 = 5 shataansh. To 1325 ÷ 4 = 331.25. Waise hi 237 ÷ 8 = 29.625 aur 0.06 ÷ 5 = 0.012.

1325 ÷ 4 = 331.25

Decimal bhaajak: dono numbers ko 10, 100 … se guna karke use ginti ka number banao. Ishaan 2.5 ghante mein 126 km jaata hai: 126 ÷ 2.5 = 1260 ÷ 25 = 50.4 km prati ghanta. Aur 4.68 ÷ 0.13 = 468 ÷ 13 = 36. 1 se chhote se bhaag dene par zyaada: 128 ÷ 0.4 = 320.

126 ÷ 2.5 = 1260 ÷ 25 = 50.4

Kya ye kabhi khatam hota hai? 10 ÷ 3 har kadam par shesh 1: 3.333… hamesha. 1 ÷ 7 = 0.142857142857…: shesh 1, 3, 2, 6, 4, 5 chakkar mein ghoomte hain, to ank bhi. 142857 × 2, × 3 … × 6 wahi ank ghoome hue dete hain! Decimal tabhi khatam hota hai jab denominator (sabse chhote roop mein) mein sirf 2 aur 5 hon, jaise 1/8 = 0.125.

1 ÷ 7 = 0.142857 142857 …

Explore: khatam hota hai?

1. Bhaagon ko sort karo.

Yaad rakho

• Lambi bhaag chalti rehti hai: ikaai ko dashaansh, dashaansh ko shataansh, aur bhaagphal mein point.
• Decimal bhaajak ke liye pehle dono ko 10, 100 … se guna. Kuch bhaag kabhi khatam nahi hote.

Quick check

3 litre ras 8 doston mein barabar baanta. Har ek ko kitna?

1. 0.375 litre = 375 mL
2. 0.38 litre
3. 2.67 litres
4. 0.83 litre

Socho

Kya 24.6 ÷ 1.5 aur 2.46 ÷ 0.15 same hain?

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.