Intro
Ab tak humne positive, negative aur absolute value dekha.
Aaj hum ek aur basic skill sikhenge: integers compare karna.
Matlab: kaun bada, kaun chhota.
Ye skill har jagah kaam aati hai—marks, temperature, money, levels.
Darr bilkul nahi.
Bas number line ko apna dost bana lo.
Concept Explanation (What, Why, How)
Simple explanation
Integers compare karne ke liye hum inequality signs use karte hain:
- a < b (a is less than b)
- a > b (a is greater than b)
- a ≠ b (a is not equal to b)
- a ≤ b (a is less than or equal to b)
- a ≥ b (a is greater than or equal to b)
Detailed explanation
What (Kya hota hai?)
Comparing integers ka matlab:
Do numbers ko dekhkar decide karna ki left wala chhota hai ya bada.
Why (Kyun zaroori hai?)
Kyunki real life mein hamesha compare hota hai:
- Temperature: -2°C vs 4°C
- Bank balance: -500 vs 200
- Lift floor: -1 vs 3
How (Kaise compare karein?)
Rule 1: Number line ka rule
- Number line par left side = smaller
- Number line par right side = bigger
Jo number left mein hai, woh less than.
Jo number right mein hai, woh greater than.
Rule 2: Negative, zero, positive ka shortcut
- Har negative number, 0 se chhota hota hai
- Har positive number, 0 se bada hota hai
- Aur har positive number, sabhi negative numbers se bada hota hai
Rule 3: Sign ka “mouth” rule (open side and pointy side)
Inequality sign ko aise socho jaise “mouth”:
- Open side (khula muh) hamesha bade number ki taraf
- Pointy/vertex side (nukila) hamesha chhote number ki taraf
More
Ek seedhi number line socho.
Jahan tum khade ho, woh 0 hai.
- Right side jaate jaate numbers bade hote jaate hain: 1, 2, 3, 4…
- Left side jaate jaate numbers chhote hote jaate hain: -1, -2, -3, -4…
Ab main puchhun: -3 aur -1 mein kaun bada?
Number line par -1, -3 ke right mein hota hai.
Isliye -1 bada, -3 chhota.
Aur inequality sign ko “crocodile mouth” mat banao. Bas itna yaad rakho:
Khula side bada, nukila side chhota.
Bas.
Examples
Example 1: Negative vs Positive
Compare -2 and 4
-2 < 4
Reason: -2 number line par 4 se left hai.
Example 2: Two negative numbers
Compare -7 and -3
-7 < -3
Reason: -7, -3 se left hai. (Left = smaller)
Example 3: Using ≤ and ≥
“x is less than or equal to 3” ko math mein likho
x ≤ 3
Meaning: x 3 ho sakta hai, ya 3 se chhota bhi.
Real life usage
Socho do cities ka temperature hai:
- City A: -2°C
- City B: 4°C
Kaun zyada thandi?
-2°C zyada thandi lagti hai, kyunki -2 number line par 0 se left hai.
Compare karoge to: -2 < 4.
Aise hi money mein:
- Debt: -500
- Savings: 200
Clearly: 200 > -500
Try It Yourself
In teen comparisons ko solve karo:
- -5 ___ -1
- 0 ___ -3
- 6 ___ -2
Blank mein sahi sign bharo <, >, =
Summary
- Integers compare karne ke liye inequality signs use hote hain: <, >, ≤, ≥
- Number line rule: left = smaller, right = bigger
- Negative numbers 0 se chhote, positive numbers 0 se bade
- Inequality sign: open side bada, pointy side chhota
Next
Next: Ordering Integers – numbers ko least se greatest (ascending order) mein likhna