Number line pe integers kaise dikhaate hain?

Number ray se number line tak

Pichhli classes mein jo number line banaayi, wo 0 se shuru hokar hamesha daayein jaati thi. Geometry ki bhasha mein wo ek number ray hai. Negative numbers ise poori number line bana dete hain, jo dono disha mein hamesha chalti hai.

Kitne negative numbers hain?

Bela ki Building of Fun mein −5 se +6 tak manzilein thi. Chapter ki ek khadaan (mine) mein −200 m se +180 m tak levels hain. Par hum aur badi imaaratein aur gehri khadaanein soch sakte hain. Jaise positive numbers +1, +2, +3, … bina ant ke upar jaate hain, waise hi negative numbers −1, −2, −3, … bina ant ke neeche jaate hain. Positive aur negative numbers, zero ke saath, integers kehlaate hain:

…, −4, −3, −2, −1, 0, 1, 2, 3, 4, …

Infinite lift number line ban jaati hai

Ek aisi lift socho jo Level 0 se hamesha upar aur hamesha neeche jaati hai. Is ‘infinite lift’ ko 90° ghumao, to ye number line ban jaati hai: beech mein zero, daayein positive numbers aur baayein negative numbers. Aam taur pe hum ‘+’ hata dete hain aur positive numbers ko bas 1, 2, 3, … likhte hain.

Integers ki tulna aur kram

Number line pe chhote numbers bade numbers ke baayein hote hain. Isliye 2 < 5, −3 < 2 aur −5 < −3. Imaarat mein neeche ki manzil ka number chhota hota hai. Isse do aasaan baatein nikalti hain:

• har negative number 0 se chhota hai, aur 0 har positive number se chhota;
• do negative numbers mein, jiske nishaan ke baad bada number ho, wo chhota hai: −10 < −2.

Tulna	Kyun
−2 < +5	Negative number positive number se chhota hota hai
−5 < −3	−5, −3 ke baayein hai
0 > −4	−4, 0 ke baayein hai
−25 < −7	−25 aur bhi zyaada baayein hai

Number line pe chalna

Daayein positive (aage) disha hai, aur baayein negative (peeche) disha. 5 se 9 tak tum 4 kadam aage chalte ho, isliye 5 + 4 = 9 aur 9 − 5 = 4. 9 se 3 tak tum 6 kadam peeche chalte ho, yaani −6 ka movement, isliye 9 + (−6) = 3 aur 3 − 9 = −6. 3 se −2 tak tum 5 kadam peeche chalte ho: 3 + (−5) = −2 aur −2 − 3 = −5.

Unmarked number line

Bade numbers ke liye aisi line banao jisme sirf 0 dikhe, aur baaki numbers kahan hain ye kalpana karo. 85 + (−60) ke liye 85 se shuru karke 60 baayein chalo: 25 pe pahunchte ho. (−100) − (+250) ke liye socho ki −100 tak pahunchne ke liye 250 mein kya jodna hoga: 0 tak 250 neeche aur phir 100 aur, yaani −350 ka movement.

Integers kram mein likhna

Do numbers ke beech ke integers likhne ke liye line pe gino. −4 aur 4 ke beech, badhte kram mein, hain −3, −2, −1, 0, 1, 2, 3. −8 aur −15 ke beech hain −14, −13, −12, −11, −10, −9. Jodna-ghatana movement ki tarah kaise kaam karta hai, padho integers add subtract kaise karein mein.