In today's digital world, calculators are just a tap away, but mastering mental multiplication and division is an essential skill. Whether you’re appearing for competitive exams, improving your mental agility, or just impressing your friends, knowing how to multiply and divide quickly can be a game-changer.
The Vedic Math system provides fast, efficient, and easy-to-remember techniques to solve complex calculations mentally in seconds. In this blog, we will explore powerful multiplication and division techniques that will help you solve problems without a calculator!
Why Learn Mental Multiplication and Division?
💡 Saves Time – Quickly solve problems in competitive exams like SAT, GMAT, GRE, SSC, Banking, and IIT JEE.
💡 Improves Brain Function – Enhances logical thinking, memory, and problem-solving skills.
💡 Reduces Dependence on Calculators – Helps in real-life scenarios like shopping, finance, and business.
💡 Boosts Confidence – Eliminates fear of math and enhances accuracy.
Let’s dive into mind-blowing Vedic Math techniques for multiplication and division!
Quick Mental Multiplication Tricks
1. Multiplication by 5 Trick
💡 Instead of multiplying by 5, divide by 2 and multiply by 10.
Example 1: Find 36 × 5
📌 Step 1: Divide 36 by 2 → 36 ÷ 2 = 18
📌 Step 2: Multiply by 10 → 18 × 10 = 180
👉 Final Answer: 36 × 5 = 180
Example 2: Find 73 × 5
📌 Step 1: Divide 73 by 2 → 73 ÷ 2 = 36.5
📌 Step 2: Multiply by 10 → 36.5 × 10 = 365
👉 Final Answer: 73 × 5 = 365
✅ Why It Works?
- Faster than standard multiplication.
- Best for mental calculations and real-life use.
2. Multiplication by 9 Trick
💡 Instead of multiplying by 9, multiply by 10 and subtract the original number.
Example 1: Find 27 × 9
📌 Step 1: Multiply by 10 → 27 × 10 = 270
📌 Step 2: Subtract 27 → 270 - 27 = 243
👉 Final Answer: 27 × 9 = 243
Example 2: Find 54 × 9
📌 Step 1: Multiply by 10 → 54 × 10 = 540
📌 Step 2: Subtract 54 → 540 - 54 = 486
👉 Final Answer: 54 × 9 = 486
✅ Why It Works?
- Eliminates complex multiplication steps.
- Perfect for quick mental math.
3. Multiplication by 11 Trick
💡 For two-digit numbers, simply split the digits and insert their sum in between.
Example 1: Find 42 × 11
📌 Step 1: Split the digits: 4 _ 2
📌 Step 2: Add them: 4 + 2 = 6
📌 Step 3: Insert in the middle: 462
👉 Final Answer: 42 × 11 = 462
Example 2: Find 63 × 11
📌 Step 1: Split: 6 _ 3
📌 Step 2: Add: 6 + 3 = 9
📌 Step 3: Insert: 693
👉 Final Answer: 63 × 11 = 693
✅ Why It Works?
- Super quick mental trick for multiplying by 11.
- Best for mental arithmetic practice.
4. Multiplication Using Base Method (Nikhilam Sutra)
💡 For numbers close to 100, 200, 500, etc., this trick makes multiplication easy.
Example 1: Find 97 × 96
📌 Step 1: Find the deviation from 100:
- 97 is -3 from 100
- 96 is -4 from 100
📌 Step 2: Multiply deviations: 3 × 4 = 12
📌 Step 3: Subtract cross sum from 100: 97 - 4 = 93
👉 Final Answer: 97 × 96 = 9312
✅ Why It Works?
- Ideal for numbers close to base values (100, 200, etc.).
- Eliminates complex multiplication steps.
Quick Mental Division Tricks
1. Division by 5 Trick
💡 Instead of dividing by 5, multiply by 2 and divide by 10.
Example 1: Find 85 ÷ 5
📌 Step 1: Multiply by 2 → 85 × 2 = 170
📌 Step 2: Divide by 10 → 170 ÷ 10 = 17
👉 Final Answer: 85 ÷ 5 = 17
Example 2: Find 260 ÷ 5
📌 Step 1: Multiply by 2 → 260 × 2 = 520
📌 Step 2: Divide by 10 → 520 ÷ 10 = 52
👉 Final Answer: 260 ÷ 5 = 52
✅ Why It Works?
- Reduces complex division to simple multiplication and division.
2. Division by 9 Trick
💡 Instead of dividing by 9, break the number into digits and add them step by step.
Example 1: Find 123 ÷ 9
📌 Step 1: Add the digits sequentially.
📌 Step 2: Answer = 13 remainder 6
👉 Final Answer: 123 ÷ 9 = 13 remainder 6
✅ Why It Works?
- Quickly finds quotients and remainders without division steps.
3. Fast Division Using the Vedic Flag Method
For large numbers, this method simplifies long division using visual cues.
Example: Find 1224 ÷ 12
📌 Step 1: Divide the first two digits: 12 ÷ 12 = 1
📌 Step 2: Bring down the next number: 22 → 2 remains
📌 Step 3: Continue with the next digit: 24 ÷ 12 = 2
👉 Final Answer: 1224 ÷ 12 = 102
✅ Why It Works?
- Helps in quick mental division for large numbers.
Final Thoughts: Master Mental Math with Vedic Techniques!
Vedic Math transforms multiplication and division into fast, easy, and fun techniques.
🔹 No calculators needed!
🔹 Boosts mental calculation speed and accuracy.
🔹 Ideal for exams, competitions, and daily calculations.
🚀 Start practicing these tricks today and see the magic happen!
💡 Which trick did you find most useful? Share in the comments! ⬇️