Intro
Ab tak humne integers ko compare aur order karna sikha.
Next natural step hai: integers ko add karna.
Yahan confusion tab hota hai jab ek number positive ho aur dusra negative.
Par tension nahi.
Hum number line par chalke samjhenge.
Bilkul blackboard style, slow and clear.
Concept Explanation (What, Why, How)
Simple explanation
Integer addition ka matlab: do integers ko jodna.
Number line rule:
- Positive (+) = right side move
- Negative (−) = left side move
Jahan tum end karoge, wahi answer.
Detailed explanation
What (Kya?)
Aapko aise sums milenge:
- −5+4
- −1+(−2)
- 7+(−3)
Why (Kyun?)
Real life mein yahi hota hai:
- Temperature up/down
- Money: savings (+), debt (−)
- Lift floors: up (+), down (−)
How (Kaise?)
Technique #1: Use a Number Line (Sabse easy aur safe)
- 0 se start karo
- First number dekho:
- agar negative hai, left move
- agar positive hai, right move
- Second number dekho:
- negative = left move
- positive = right move
- Final position = answer
More
Socho tum 0 par khade ho.
Ab agar main bolun +4, matlab 4 step right.
Agar main bolun −5, matlab 5 step left.
Ab −5 + 4 ka matlab:
- Pehle 5 step left (tum -5 par aa gaye)
- Phir 4 step right (tum -1 par aa gaye)
To answer -1.
Bas itna hi.
Math ka magic nahi, sirf walk karna hai.
Examples
Example 1: −5+4
-5 + 4 = -1
Number line: pehle 5 left, phir 4 right → -1
Example 2: −1+(−2)
-1 + (-2) = -3
Number line: 1 left, phir 2 left → -3
Example 3: 7+(−3)
7 + (-3) = 4
Number line: 7 right, phir 3 left → 4
Real life usage
Socho subah temperature -8°C tha.
Dopahar tak temperature 22°C rise hua.
Math mein:
- Start = -8
- Rise = +22
-8 + 22 = 14
Matlab dopahar ka temperature 14°C.
Try It Yourself
Number line banaao aur solve karo:
- −3+6
- 5+(−8)
- −4+(−7)
Apne answers likho.
Summary
- Positive add karna = right move
- Negative add karna = left move
- Number line par chalke answer clear ho jaata hai
- Final position = sum
Next Preview
Next: Adding Integers – Absolute Value Trick (Same sign / Different sign rule)