Dahaiyon ka Desh
Class 7 Maths · Chapter 1: Hamare Aas-paas Bade Numbers · NCERT Ganita Prakash section 1.2
Seekho
Socho aise calculators jinme sirf ek button ho. +1000 wale ko 3,000 dikhaane ke liye 3 baar dabaana, aur ek lakh ke liye 100 baar. +10 wale ko 780 ke liye 78 baar, aur ek lakh ke liye 10,000 baar! +100 wale ko ek lakh ke liye 1,000 baar.
1,00,000 = 100 × 1,000 = 1,000 × 100 = 10,000 × 10
Ab kai buttons wala calculator: +1, +10, +100, +1000, +10000, +100000, +1000000. Ek number banaane ke kai tareeke hain. 5,072 ke liye: (5 × 1000) + (7 × 10) + (2 × 1), ya (4 × 1000) + (10 × 100) + (7 × 10) + (2 × 1), ya (50 × 100) + (72 × 1) bhi.
5,072 = (5 × 1000) + (7 × 10) + (2 × 1)
Sabse kam click: kam se kam click ke liye har button utni hi baar dabao jitna us sthaan ka ank. 5,072 ke liye 5 + 0 + 7 + 2 = 14 click. Yaani sabse kam click = ankon ka jod, aur dabaane ka tareeka bilkul number ka place value roop hai.
fewest clicks for 5,072 = 5 + 0 + 7 + 2 = 14
Ye kaam kyun karta hai? Ek button ke 10 click agle button ke ek click ke barabar (10 × 100 = 1 × 1000). To jab bhi koi button 10 ya zyaada baar dabe, das click ko agle button ke ek click se badalkar 9 click bacha sakte hain. Jab koi ank 9 se upar na bache, to click sabse kam.
Explore: kaun se click sabse kam hain?
- Wo tareeka tap karo jo 5,072 sabse kam click mein banaata hai.
Yaad rakho
- Ek number +1, +10, +100… ke click se kai tareekon se ban sakta hai.
- Sabse kam click = ankon ka jod, aur ye place value se milta hai.
Quick check
Calculator mein sirf +100 button hai. 53,000 dikhaane ke liye kitni baar dabaoge?
- 530
- 53
- 5,300
- 5,30,000
Answer
530. 53,000 ÷ 100 = 530.
Socho
+1, +10 aur +100 ke theek 30 click se sabse bada 3-ank ka number kaunsa bana sakte ho?
Ek answer
993: 9 × 100 + 9 × 10 + 3 × 1 = 993 sirf 21 click mein; phir ek +10 ki jagah das +1 lo (9 click badhte hain): 9 × 100 + 8 × 10 + 13 × 1 = 993, theek 30 click.
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.