Intro
Ab aap comparing integers karna jaante ho: kaun bada, kaun chhota.
Ab next step hai ordering.
Ordering ka matlab: numbers ko line mein lagana.
Jaise class mein bacchon ko height ke order mein khada karte hain.
Bilkul waise hi numbers ko “least to greatest” mein arrange karenge.
Number line yahan aapka best friend hai.
Concept Explanation (What, Why, How)
Simple explanation
Ordering integers ka matlab: integers ko sahi sequence mein likhna.
- Least to Greatest = chhote se bade (Ascending order)
- Greatest to Least = bade se chhote (Descending order)
Number line rule:
- Left side = smaller
- Right side = bigger
Numbers right jaate-jaate larger hote hain, left jaate-jaate smaller hote hain.
Detailed explanation
What (Kya?)
Aapko kuch integers diye honge, jaise:
-3, 2, 0, -5, 4
Aapko inko order mein likhna hai.
Why (Kyun?)
Real life mein sorting hoti rehti hai:
- Temperature readings (lowest to highest)
- Bank balance (most negative to most positive)
- Floors in building (-1, 0, 1, 2…)
How (Kaise?)
Method 1: Number line method (Sabse safe)
- Number line imagine/banalo
- Jo number sabse left hai, woh sabse chhota
- Jo number sabse right hai, woh sabse bada
Method 2: Quick understanding (Negative numbers ka rule)
- Sabse chhote side par aksar negative numbers hote hain
- Negative numbers mein: -9 is smaller than -2 (kyunki -9 left mein hota hai)
Tip:
- Ordering karna basically “compare” karna hi hai, bas multiple numbers ke saath.
More
Socho ek road hai number line wali.
Left mein jaoge to numbers chhote hote jaate hain.
Right mein jaoge to numbers bade hote jaate hain.
Ab agar main bolun:
-4, 1, -1, 3, 0 ko line mein lagao.
Tum kya karoge?
- Pehle dekho kaun left-most hai → -4 (sabse chhota)
- Phir -1
- Phir 0
- Phir 1
- Phir 3 (sabse bada)
Bas! Ordering ka matlab “line mein sahi jagah pe khada karna”.
Examples
Example 1: Least to Greatest
Numbers: -3, 2, 0, -1
Least to Greatest: -3, -1, 0, 2
Example 2: Greatest to Least
Numbers: 5, -2, -6, 1
Greatest to Least: 5, 1, -2, -6
Example 3: Negative numbers only
Numbers: -8, -3, -10, -1
Least to Greatest: -10, -8, -3, -1
Reason: negative numbers mein jo zyada left hota hai, woh zyada chhota.
Real life usage
Maan lo winter mein 5 din ka temperature record hai:
-1°C, -6°C, 0°C, 3°C, -2°C
Weather report ko “coldest to warmest” chahiye.
Coldest matlab least value.
Ordering (least to greatest) banega:
-6, -2, -1, 0, 3
Ab report clear ho jaati hai: sabse thand -6°C.
Try It Yourself
In numbers ko least to greatest arrange karo:
- 4, -5, 2, -1, 0
Apna answer likho.
Summary
- Ordering integers = numbers ko sahi sequence mein lagana
- Number line rule: left smaller, right bigger
- Negative numbers mein: -9 smaller than -2 (kyunki more left)
Next
Next: Adding positive and negative Numbers