Estimation kaise karein

Estimate kya hai?

Kabhi hum exact number nahi jaante, ya uski zaroorat nahi hoti. Headmaster ko pata hai ki school mein kitne students hain, par tum bhi kuch kaam ki baat keh sakte ho: kya lagbhag 150 hain, lagbhag 400, ya lagbhag ek hazaar? Aisa samajhdaar, gol-mol jawab estimate, yaani andaaza, hai. Andaaza lagaana mazedaar hai, aur isse tum apne aas-paas ke numbers pe dhyaan dene lagte ho.

Paromita ka school

Paromita ke section mein 32 bachche hain, aur uski class ke doosre do sections mein 29 aur 35. Wo round karti hai: 32 + 29 + 35 = 96, class mein lagbhag 100. Uske school mein Classes 6 se 10 hain, har ek mein 3 sections. Har class mein lagbhag 100 students maankar wo school mein lagbhag 5 × 100 = 500 students ka andaaza lagaati hai.

Achhe andaaze ke tips

• Calculate karne se pehle aasaan numbers mein round karo: 29, 32 aur 35 sab ‘lagbhag 30’, ya jod ‘lagbhag 100’.
• Sawaal ko steps mein todo: per minute, phir per ghanta, phir per din.
• Jo jaante ho use use karo: tumhara ek kadam lagbhag aadha metre, ek baalti mein lagbhag 15 se 20 mug paani.
• Jaancho ki jawab theek lagta hai, aur apna tareeka doston se milaao. Alag-alag samajhdaar tareekon ke jawab paas-paas aate hain.
• ‘Lagbhag’ bolo, aur exact-sa dikhne waala number mat do.

Aas-paas ki cheezon ka andaaza

Kadam. Ek baar classroom ke aar-paar apne kadam gino. Agar ground lagbhag 100 metre lamba hai aur ek kadam lagbhag aadha metre, to paar karne mein lagbhag 200 kadam lagenge. 1 km door ghar tak lagbhag 2,000 kadam.

Palkein aur saansein. Extra: log minute mein lagbhag 15 se 20 baar palak jhapkaate hain, yaani ghante mein lagbhag 1,000 baar, aur jaagte din mein 15,000 se zyada baar. Aaraam karta bachcha minute mein lagbhag 20 baar saans leta hai: ghante mein lagbhag 1,200 aur din mein lagbhag 30,000 baar.

Badi ginti. Kuch hazaar waali cheezein: 100 g packet mein chaawal ke daane; das hazaar ya usse zyada: 5 kg chaawal ke bore ke daane, ya tumhare sir ke baal.

Jhatpat jaanch

• Maths ki textbook mein shabd: 5000 se zyada ya kam? Zyada. Ek page pe lagbhag 200 shabd, to sirf 25 pages mein 5,000 ho jaate hain, aur book mein isse kahin zyada pages hain.
• 5 logon ke fruit custard ke liye Roshan ke ₹100? Shaayad kam. Kai jagah ek litre doodh hi lagbhag ₹55 se ₹70 ka hai, aur teen tarah ke phal aur jodte hain. Daam jagah-jagah alag hote hain, isliye apne yahan ke daam jaancho.
• Gandhinagar se Kohima? India ke map ke scale se seedhi line mein lagbhag 2,200 km; sadak se zyada.
• Grade 6 tak school mein 13,000 ghante? Lagbhag 6 ghante × 200 din = saal mein 1,200 ghante; 8 saal bhi 10,000 ghante se kam, isliye 13,000 bahut zyada hai.

Paidal kitna samay lagega?

Pehle log lambi-lambi dooriyan paidal chalte the. Saadhaaran chaal lagbhag 5 km per ghanta hai.

• 2 km door koi pasandeeda jagah: lagbhag 25 minute.
• Padosi rajya ki rajdhaani, maano 250 km door: lagbhag 50 ghante chalna, yaani din mein 8 ghante chalkar lagbhag 6 din.
• Mainland ke dakshini sire se uttari sire tak, lagbhag 3,200 km: lagbhag 640 ghante, yaani din mein 8 ghante chalkar lagbhag 80 din.

Litre aur chhuttiyan

Ek mug mein lagbhag 1 litre, baalti mein lagbhag 15 se 20 litre, aur ghar ki overhead tank mein lagbhag 500 se 1,000 litre paani aata hai. Saal ki chhuttiyon ke liye Sunday (52), doosri hafte ki chhuttiyan, tyohaar aur lambi vacations jodo, aur dhyaan rakho ki vacation mein padne waala Sunday do baar na gino. Phir apne andaaze ko school ke calendar se milaao.

Estimation numbers se khelne ka ek tareeka hai. Puzzles aur patterns ke liye padho palindrome numbers kya hain aur Collatz conjecture kya hai. Textbook ke sawaalon ke liye dekho Chapter 3 ke NCERT solutions; poore chapter ke liye Chapter 3 ke notes.