Subtracting Integers – “Add the Opposite” Rule (Bilkul Easy)

Intro

Addition humne do tarike se kar liya: number line aur same/different sign rule.
Ab subtraction aata hai.
Subtraction dekhte hi log confuse ho jaate hain, kyunki “minus ke aage minus” aa jaata hai.
Par ek simple idea hai jo sab clear kar deta hai: Add the Opposite.
Aaj sirf yahi ek concept.

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Concept Explanation (What, Why, How)

Simple explanation

Subtracting an integer = adding its opposite.

Rule:

• a−b=a+(−b)

Matlab:

• minus ko plus bana do
• aur second number ka sign ulta kar do

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Detailed explanation

What (Kya hota hai?)

Subtraction ka matlab hai “take away” ya “difference”.
Integers mein problem tab hoti hai jab b negative ho.

Examples:

• 7−3 (simple)
• 7−(−3) (yahan confusion)
• −5−4
• −5−(−4)

Why (Kyun kaam karta hai?)

Number line par subtraction ka matlab hota hai: opposite direction mein move.
Isliye hum subtraction ko addition mein convert kar dete hain.
Addition ke rules hum already jaante hain, to kaam easy ho jaata hai.

How (Kaise karna hai?)

Har subtraction question mein yeh 2 steps:

1. Minus ko plus karo
2. Second number ka sign ulta karo (opposite)

Bas.

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More

Socho tumhare paas ek “switch” hai.

Subtraction ka switch on karte hi hum bolte hain:
“Arre, subtraction mat karo. Addition kar lo, par dusre number ko ulta kar do.”

Example: 7−3
Dusre number ka opposite = -3
To ban gaya: 7+(−3)

Example:7−(−3)
Dusre number ka opposite = +3
To ban gaya: 7+3

Bas itni si baat.
Minus minus ko dekhkar ghabrana nahi.

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Examples

Example 1

7 - 3 = 7 + (-3) = 4

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Example 2 (Most important)

7 - (-3) = 7 + 3 = 10

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Example 3

-5 - 4 = -5 + (-4) = -9

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Real life usage

Socho bank balance hai ₹200.
Aapne ₹50 kharch kiya.
Math: 200−50=150

Ab socho balance ₹200 hai aur aapka ₹50 ka debt cancel ho gaya (debt = negative).
Math: 200−(−50)=200+50=250

Yahan “minus negative” ka matlab: debt hat gaya, to money badh gaya.

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Try It Yourself

“Add the opposite” rule laga kar solve karo:

1. $9 – 6$9−6
2. $9 – (-6)$9−(−6)
3. $-4 – 5$−4−5
4. $-4 – (-5)$−4−(−5)

Apne answers likho.

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Summary

• Subtracting integers ka best rule: Add the Opposite
• a−b=a+(−b)
• Steps: minus ko plus, second number ka sign ulta
• Phir addition rules apply karo

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Next Preview

Next: Multiplying Integers – sign rules (+×+=+, +×-=−, −×−=+)