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📖 The "Magic 5" Trick
The Vedic Sutra "Ekadhikena Purvena" (By one more than the previous) makes squaring numbers ending in 5 instant!
Example: 35²
3 × 4 = 12
_ _ 25
_ _ 25
Result: 1225 🥪
🔄 Modification for 3-Digits
Treat the digits before the '5' as a single block. Multiply that block by the next whole number.
Example: 105² → Block is 10. 10 × 11 = 110. Append 25 → 11025.
📚 Step-by-Step Examples
1. Beginner Level: 15²
Step 1: Digit before 5 is 1. Next number is 2.
Step 2: 1 × 2 = 2. Append 25 → Answer: 225 ✅
Step 1: Digit before 5 is 1. Next number is 2.
Step 2: 1 × 2 = 2. Append 25 → Answer: 225 ✅
2. Standard Level: 65²
Step 1: Digit before 5 is 6. Next number is 7.
Step 2: 6 × 7 = 42. Append 25 → Answer: 4225 ✅
Step 1: Digit before 5 is 6. Next number is 7.
Step 2: 6 × 7 = 42. Append 25 → Answer: 4225 ✅
3. Pro Level: 125²
Step 1: Block before 5 is 12. Next number is 13.
Step 2: 12 × 13 = 156. Append 25 → Answer: 15625 ✅
Step 1: Block before 5 is 12. Next number is 13.
Step 2: 12 × 13 = 156. Append 25 → Answer: 15625 ✅
4. Word Problem:
"A square tile has a side of 45cm. What is its area?"
Step: Area = 45 × 45. 4 × 5 = 20. Append 25 → 2025 cm² ✅
"A square tile has a side of 45cm. What is its area?"
Step: Area = 45 × 45. 4 × 5 = 20. Append 25 → 2025 cm² ✅
✏️ Quick Practice
Type your answer and check! 🧠
25² =
55² =
85² =
95² =
115² =
🎯 Quiz Challenge
Select the correct answer for each:
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