Advantages of Vedic Maths with Tricks, Examples

What is Vedic Maths?

Vedic Maths is a collection of ancient mathematical techniques derived from the Vedas, a body of knowledge from ancient India. The methods are designed to simplify arithmetic operations, algebra, geometry, calculus, and other branches of mathematics. These techniques allow people to solve problems quickly, often without writing anything down, by using mental calculations.

Key Advantages of Vedic Maths

1. Improves Calculation Speed

One of the most significant benefits of Vedic Maths is that it helps improve your calculation speed. The techniques offer shortcuts for addition, subtraction, multiplication, division, and more, enabling you to solve problems quickly. This makes Vedic Maths an essential tool for students preparing for competitive exams like NEET, JEE, CAT, and banking exams, where speed is crucial.

For example, using Vedic methods, you can multiply numbers in seconds without the need for calculators or long paper calculations. Let’s take a quick example:

Multiply 23 and 47 using Vedic Maths
Step 1: Split the numbers: 23 becomes 20 + 3, and 47 becomes 40 + 7.
Step 2: Multiply the components: (20 × 40) = 800 and (3 × 7) = 21.
Step 3: Combine the results: 800 + 21 = 821.

This technique makes complex multiplication faster and more manageable.

2. Enhances Mental Calculation Skills

Another advantage of Vedic Maths is that it promotes mental math, reducing reliance on paper or calculators. By practicing these techniques, you can enhance your brain’s capacity to perform quick calculations mentally, leading to better concentration and sharper thinking skills.

Whether it’s calculating percentages, square roots, or large sums, Vedic Maths encourages mental agility, making it easier to perform day-to-day tasks like shopping, banking, or even estimating figures for business purposes.

3. Builds Confidence in Mathematics

Vedic Maths is not just about speed—it also boosts confidence. Many students struggle with math anxiety due to the complexity of calculations. With Vedic Maths, the simplicity of methods helps to overcome these fears by making math more approachable. When students see how quickly they can solve problems using these techniques, their confidence in tackling mathematical challenges grows.

This increased confidence is particularly valuable for students appearing in competitive exams where time management and quick problem-solving are essential.

4. Provides Flexibility in Problem-Solving

Vedic Maths offers flexibility by providing multiple ways to solve the same problem. Unlike traditional math, where there is usually one method for solving a problem, Vedic Maths often offers several techniques. This flexibility allows individuals to choose the method they find easiest or quickest, depending on the problem at hand.

For example, the same multiplication problem can be solved using different Vedic Maths techniques such as the Vertically and Crosswise method or the Base Method, depending on which one the person prefers or finds more suitable.

5. Simplifies Complex Calculations

Complex mathematical operations such as squaring large numbers, finding cube roots, or solving algebraic equations can be simplified using Vedic Maths. What usually takes multiple steps in conventional methods can be done in a few steps using Vedic techniques.

For example, to square 98 using Vedic Maths:

Step 1: Take 100 as the base.
Step 2: Subtract the difference between 98 and 100 (which is 2) from 98: 98 - 2 = 96.
Step 3: Square the difference (2² = 4), then add it to 9600: 9600 + 4 = 9604.

This method simplifies squaring large numbers significantly, making calculations less time-consuming.

6. Improves Focus and Concentration

Vedic Maths encourages you to rely on your mental capacity, which in turn strengthens focus and concentration. As you practice solving problems mentally, your brain becomes more adept at handling information quickly and efficiently, leading to improved concentration in academic and everyday tasks.

7. Makes Learning Math Enjoyable

One of the often-overlooked benefits of Vedic Maths is how it makes math fun and enjoyable. Traditional methods of solving math problems can be tedious and frustrating for many students. Vedic Maths, on the other hand, offers interesting tricks and techniques that spark curiosity and engagement. Learning becomes more of a challenge to discover how fast you can solve problems rather than dreading lengthy calculations.

8. Helps in Competitive Exams

For students preparing for competitive exams like NEET, JEE, and various government exams, Vedic Maths offers a strategic advantage. Competitive exams often test both speed and accuracy, and Vedic Maths helps students achieve both. Techniques like rapid multiplication, division, and squaring help save time on complex calculations, allowing students to focus on solving more questions within the given time frame.

9. Fosters a Deeper Understanding of Math

While Vedic Maths is often associated with shortcuts, it also encourages a deeper understanding of mathematical concepts. The methods are based on logical reasoning and the natural properties of numbers, which helps in developing a strong foundation in mathematics. Unlike rote memorization, Vedic Maths pushes students to understand why a technique works, fostering conceptual clarity.

10. Connects with India’s Cultural Heritage

Learning Vedic Maths connects you with India’s rich mathematical heritage. These ancient techniques reflect the advanced intellectual achievements of early Indian mathematicians and offer a window into the past. By learning Vedic Maths, individuals not only enhance their mathematical skills but also pay homage to an ancient tradition of knowledge.

Vedic Maths Tricks for Quick Calculations

Here are a few simple Vedic Maths tricks that showcase the power of this ancient technique:

Addition Trick

To add 57 + 68:

Step 1: Split the numbers: 50 + 7 and 60 + 8.
Step 2: Add tens and units separately: 50 + 60 = 110, and 7 + 8 = 15.
Step 3: Combine the results: 110 + 15 = 125.

Multiplication Trick

To multiply 14 × 18:

Step 1: Add the units digit of the smaller number (4) to the larger number (18 + 4 = 22).
Step 2: Multiply the result by 10: 22 × 10 = 220.
Step 3: Multiply the units digits of both numbers (4 × 8 = 32).
Step 4: Add the two results: 220 + 32 = 252.

Cool Vedic Mathematics Tricks

Here are some cool Vedic Mathematics tricks for fast calculations.

1. Vertical and Crosswise Method (Multiplication)

This method helps you quickly multiply two-digit numbers by breaking them into simpler steps.

Example: Multiply 32 by 14

1. Multiply the tens digits: 3 (from 32) × 1 (from 14) = 3.
2. Multiply the units digits: 2 × 4 = 8.
3. Cross-multiply: (3 × 4) + (2 × 1) = 12 + 2 = 14.
4. Now, combine the results: 3 | 14 | 8.
   Since 14 is a two-digit number, carry the 1: Final answer = 448.
   So, 32 × 14 = 448.

2. All from 9 and Last from 10 (Subtraction)

This trick simplifies subtracting large numbers from powers of 10.

Example: Subtract 537 from 1000

1. Subtract each digit of 537 from 9, except the last one:
   • 9 – 5 = 4
   • 9 – 3 = 6
2. Subtract the last digit from 10:
   • 10 – 7 = 3
     So, 1000 – 537 = 463.

3. Nikhilam Method (Multiplication Near Bases)

This technique works well when multiplying numbers close to powers of 10, like 100 or 1000.

Example: Multiply 97 by 96

1. Both numbers are close to 100.
   • 97 is 3 less than 100, and 96 is 4 less than 100.
2. Subtract crosswise: 97 – 4 = 93 or 96 – 3 = 93.
3. Multiply the differences: 3 × 4 = 12.
   So, 97 × 96 = 9312.

4. Criss-Cross Method (Multiplication of Two-Digit Numbers)

This method helps with multiplying two-digit numbers step by step.

Example: Multiply 43 by 21

1. Multiply the units digits: 3 × 1 = 3.
2. Cross-multiply: (4 × 1) + (3 × 2) = 4 + 6 = 10.
3. Multiply the tens digits: 4 × 2 = 8.
   Now, combine the results: 8 | 10 | 3.
   Carry the 1 from 10, so the final answer is 903.
   So, 43 × 21 = 903.

5. Duplex Method (Square of Two-Digit Numbers)

This trick helps you quickly find the square of two-digit numbers.

Example: Find the square of 46

1. Square the digits: 4² = 16 and 6² = 36.
2. Multiply the two digits and double the result: (4 × 6) × 2 = 48.
   Now, combine: 16 | 48 | 36.
   Carry over and add: Final result = 2116.
   So, 46² = 2116.

6. Ekadhikena Purvena (Division by 9)

This trick makes dividing by 9 faster by using a simple pattern.

Example: Divide 342 by 9

1. Write down the first digit (3).
2. Add this digit to the next one (3 + 4 = 7), then write 7.
3. Add 7 to the next digit (7 + 2 = 9).
   So, 342 ÷ 9 = 38 remainder 0.

7. Multiplication by 11

Multiplying any two-digit number by 11 becomes a breeze with this trick.

Example: Multiply 45 by 11

1. Write the first and last digits: 4 _ 5.
2. Add the two digits together and place the sum in the middle: 4 + 5 = 9.
   So, 45 × 11 = 495.

8. Squares of Numbers Ending in 5

This trick simplifies squaring numbers that end in 5.

Example: Find the square of 75

1. Multiply the first digit (7) by the next number (8): 7 × 8 = 56.
2. Attach 25 to the result: 5625.
   So, 75² = 5625.

9. Multiplying by 5

This trick makes multiplying by 5 super easy.

Example: Multiply 68 by 5

1. Divide 68 by 2: 68 ÷ 2 = 34.
2. Attach a 0 to the result: 340.
   So, 68 × 5 = 340.

10. Multiplying Two Numbers Close to 100

This method is fast when multiplying numbers near 100.

Example: Multiply 98 by 95

1. Subtract each from 100: 98 – 100 = -2, and 95 – 100 = -5.
2. Subtract crosswise: 98 – 5 = 93 or 95 – 2 = 93.
3. Multiply the differences: -2 × -5 = 10.
   So, 98 × 95 = 9310.

These Vedic Math tricks simplify calculations, making math faster and more fun. Give them a try and boost your mental math skills!

Conclusion: Why Vedic Maths is a Game-Changer

Vedic Maths offers a host of benefits, from improving speed and accuracy to fostering a deeper understanding of mathematical concepts. Whether you're a student preparing for competitive exams or someone looking to sharpen your mental math skills, incorporating Vedic Maths into your learning routine can revolutionize the way you approach numbers.

With its simple yet powerful techniques, Vedic Maths is not only an effective tool for solving problems but also an enjoyable way to explore the beauty of mathematics. Embrace Vedic Maths and watch your calculation abilities soar!