Vedic Maths Tricks for Quick Calculations

In today’s fast-paced world, mastering quick mental calculations is not just an advantage but a necessity, especially for students preparing for competitive exams and professionals demanding fast decision-making. Vedic Maths, an ancient Indian system of mathematics, offers a remarkable way to make calculations simpler and faster.

But what is Vedic Maths? Vedic Maths is a collection of techniques or “Sutras,” derived from the Vedas, aimed at simplifying complex calculations through clever shortcuts and mental tricks. These methods can significantly boost the speed and accuracy of your calculation. Whether it is addition, subtraction, multiplication, division, or even finding square roots, Vedic Maths tricks are invaluable for improving problem-solving speed. The beauty of Vedic Maths lies in its simplicity, making it an essential tool for both students and professionals who wish to solve Maths problems more efficiently.

Let’s explore some of the most effective Vedic Maths formulas and techniques that can help you ace your calculations.

1. Multiplication Tricks in Vedic Maths

One of the well-known aspects of Vedic Maths is its quick multiplication tricks. These multiplication tricks in Vedic Maths are particularly useful for solving problems involving large numbers, as they simplify what would otherwise be lengthy and tedious calculations. A common trick involves using a base, such as 10, 100, or 1000, for multiplication.

Example:

Let’s multiply 98 × 97:

●       First, take 100 as the base since both 98 and 97 are close to it.

●       Subtract each number from 100:

○       98 is 2 less than 100 (100 - 98 = 2).

○       97 is 3 less than 100 (100 - 97 = 3).

●       Multiply the results of the differences: 2 × 3 = 6.

●       Now subtract one of the differences from either original number:

○       98 - 3 = 95 or 97 - 2 = 95.

●       The final answer is 9506 (95 followed by 06).

This simple Vedic Maths multiplication trick not only saves time but also makes large-number multiplication much more manageable.

2. Addition Tricks in Vedic Maths

Additional tricks in Vedic Maths help to speed up the process by breaking down numbers into simpler components, allowing you to add mentally without much effort. By using place values, you can perform additions quickly and without the need for carrying over numbers.

Example:

Consider adding 676 + 534:

1. Break down the numbers based on place value:

○       Add the hundreds: 600 + 500 = 1100.

○       Add the tens: 70 + 30 = 100.

○       Add the units: 6 + 4 = 10.

2. Now combine the results:

○       1100 + 100 = 1200.

○       1200 + 10 = 1210.

Using these addition tricks in Vedic Maths, you can skip the traditional method of lining up digits and carrying over, thus saving time.

3. Subtraction Tricks in Vedic Maths

Subtraction in Vedic Maths is made easier with the "All from 9 and the last from 10" Sutra. This technique allows you to perform quick mental subtractions by simplifying the borrowing process.

Example:

Subtract 1000 – 748:

1. Use the rule "All from 9 and the last from 10":

○       Subtract 7 from 9: 9 - 7 = 2.

○       Subtract 4 from 9: 9 - 4 = 5.

○       Subtract 8 from 10: 10 - 8 = 2.

2. The answer is 252.

This subtraction trick in Vedic Maths is particularly useful for handling large numbers and thus reducing the need for the traditional borrowing method.

4. Division Tricks in Vedic Maths

Division tricks in Vedic Maths are also designed to simplify what can often be a lengthy and confusing process. One of the key formulas in Vedic Maths is "Nikhilam Sutra," which helps in dividing numbers close to powers of 10.

Example:

Divide 1236 by 9:

1. Write the dividend (1236) and start dividing from the left.
2. Divide the first digit (1) by 9; the quotient is 0, so write 0.
3. Add the remainder (1) to the next digit (2) to make 12.
4. Divide 12 by 9; the quotient is 1, and the remainder is 3.
5. Add the remainder (3) to the next digit (3), making 33.
6. Divide 33 by 9; the quotient is 3, and the remainder is 6.
7. The final quotient is 137, and the remainder is 6.

Division tricks in Vedic Maths are designed to reduce the complexity of long division, allowing faster and more accurate solutions.

5. Square Root Tricks in Vedic Maths

Square roots can be tricky, but Vedic Maths provides a simple way to calculate them, especially for perfect squares. Using specific sutras, you can quickly determine the square root of any number.

Example:

Find the square root of 2025:

1. Break the number into two parts: (20)(25).
2. The nearest square to 20 is 16 (which is 4²), and the nearest square to 25 is 25 (which is 5²).
3. Combine the results: the square root of 2025 is 45.

Square root tricks in Vedic Maths are particularly useful for quickly solving equations that involve large or difficult numbers.

6. Multiplication of Large Numbers

Vedic Maths also offers solutions for multiplying large numbers as well. This can be particularly beneficial in competitive exams where time is of the essence.

Example:

Multiply 123 × 111:

1. Break down 111 into (100 + 10 + 1).
2. Multiply 123 by 100 = 12300.
3. Multiply 123 by 10 = 1230.
4. Multiply 123 by 1 = 123.
5. Now, sum all the results: 12300 + 1230 + 123 = 13653.

Using these multiplication tricks in Vedic Maths, you can save significant time and effort.

7. Vedic Maths Formulas for Competitive Exams

Vedic Maths formulas are essential for students preparing for competitive exams. Whether it is solving algebraic equations, working with decimals, or tackling geometry problems, these formulas help streamline the entire process. By learning these Maths tricks for competitive exams, students can reduce the time spent on basic calculations, leaving more time to focus on complex problem-solving.

Vedic Maths formulas simplify addition, subtraction, multiplication, division, and square roots, allowing you to solve problems faster and more efficiently. For competitive exams where time is crucial, knowing these formulas can make all the difference.

Vedic Maths tricks provide a unique and effective way to solve mathematical problems quickly and accurately. Whether it's multiplication tricks in Vedic Maths, division methods, or square root calculations, these ancient techniques simplify calculations, making them easier to perform mentally. By mastering these techniques, especially the Maths tricks for competitive exams, you can improve your mathematical abilities, boosting both speed and confidence. So, if you want to enhance your calculation skills and excel in exams, learning Vedic Maths tricks is a must.

FAQ

Who invented vedic maths?

Vedic Maths was developed by Shri Bharati Krishna Tirthaji, an Indian scholar and spiritual leader, who compiled these techniques from ancient Hindu texts, the Vedas. His work, published in 1965, introduced 16 basic sutras, or formulas, that simplify various mathematical calculations.

How many levels are there in vedic maths?

Vedic Maths generally has three levels: basic, intermediate, and advanced. These levels help students progress from foundational concepts, like simple addition and subtraction, to complex techniques, such as algebraic equations and calculus, all while applying the Vedic sutras for faster calculation.

Which is better abacus or vedic maths?

Both Abacus and Vedic Maths have unique strengths. Abacus training helps young children develop strong foundational arithmetic skills, improve concentration, and visualize numbers. Vedic Maths, on the other hand, is especially useful for older students who want to perform calculations rapidly, making it ideal for competitive exams. Choosing between the two depends on the learner's age and objectives.

How to learn Vedic maths easily?

To learn Vedic Maths easily, start by familiarizing yourself with the 16 sutras (formulas) and 13 sub-sutras. Practice each technique daily, starting with basic operations and gradually moving to more complex problems. Online courses, books, and tutorials can provide structured learning, making it easier to master these techniques.

How to do fast addition in Vedic maths?

For fast addition in Vedic Maths, you can use techniques such as “Nikilam Navatashcaramam Dashatah” (All from 9 and the Last from 10) for adding numbers that are near multiples of 10. This technique and others help break down numbers in ways that simplify addition and minimize steps, allowing for quick mental calculations.

What is the Vedic formula?

The “Vedic formula” refers to the 16 sutras (principles) compiled by Bharati Krishna Tirthaji, each providing shortcuts for different types of mathematical calculations. For example, the sutra "Ekadhikena Purvena" (By one more than the previous one) simplifies squaring numbers ending in 5, and “Vertically and Crosswise” is widely used for quick multiplication. These formulas are the foundation of Vedic Maths.