Ten Features of Vedic Maths

Do you know Vedic Mathematics? If yes then it’s good and if it is not, then I would like to say this is more than just a shortcut for quick calculations. It’s a structured, logical system rooted in ancient Indian texts that simplifies complex mathematical concepts. Its techniques are efficient, versatile, and adaptable to various mathematical operations.

In this article, we’ll explore 10 hidden features of Vedic Mathematics that highlight its practicality and relevance. From interconnected sutras to their application in advanced mathematics, these features showcase why Vedic Math is a valuable subject for learners and professionals alike. Let’s dive in and uncover its unique advantages.

Ten Features of Vedic Maths

1. Integrity:

The beauty of Vedic Mathematics lies in its integrity. All sutras and sub-sutras are interconnected and uniformly applicable across multiple mathematical operations. This integration allows learners to use a single sutra for various types of problems.

For instance, the sutra Nikhilam Navatashcaramam Dashatah (“All from 9 and the last from 10”) is versatile. It can be used for subtraction, multiplication, and division. It is used for subtracting a large number from 100 or 1000 or higher powers of 10, Multiplication/Division.

Steps to Solve:

1. Subtract each number from the nearest base (e.g., 100).
2. Multiply the differences of the numbers from the base.
3. Subtract one number’s difference from the other number (or subtract the sum of differences from the base).
4. Write the results from Step 3 and Step 2 side by side.

For more amazing information, make sure you check this out: All Vedic Maths Formulas.

Example of Multiplication using Nikhilam Sutra:
Multiply 97 × 96:

1. Base: 100 (nearest power of 10).
2. Deviations: 97 is -3, and 96 is -4.
3. Cross subtract: 97 – 4 = 93.
4. Multiply the deviations: (-3) × (-4) = 12.
   Final Answer: Combine 93 and 12 → 9312.

This uniformity and interrelation of sutras make learning and applying Vedic Math highly efficient and coherent. You can watch our complete video on this topic here: Nikheluam Method Of Multiplication by Vedic Math School

2. Simplicity:

One of the most striking features of Vedic Mathematics is its simplicity. Calculations that traditionally require multiple steps can often be solved in one or two steps using Vedic methods, saving time and effort.

Steps to Solve:

1. Write the numbers vertically, aligning digits.
2. Multiply digits crosswise and vertically, starting from the least significant digits.
3. Add intermediate results.
4. Adjust for carries, if any, to get the final answer.

For example:

If you are video lover and find easy to learn through the video here is the step by step video tutorial for you on the topic of Urdhwatiryak Method of Multiplication: 

Vedic Maths Multiplication Special Tricks | दो और तीन अंकों का Multiplication आसानी से 2 Second में

Example 2: Multiply 12 × 13:

It is used for multiplying two-digit numbers, Multiplication / Division of Quadratic Numbers using Urdhva-Tiryagbyham (Vertically and Crosswise)

1. Multiply the unit digits: 2 × 3 = 6 (rightmost digit).
2. Cross-multiply and add: (1 × 3) + (2 × 1) = 5 (middle digit).
3. Multiply the tens digits: 1 × 1 = 1 (leftmost digit).
   Final Answer: Combine → 156.

This approach is not only faster but also reduces the complexity of solving mathematical problems.

If you are more interested in finding out faster ways to perform multiplication of 2, 3, 4 and 5-digit numbers, make sure you give the following pages a brief read. 

• How to perform Three Digit Multiplication in Seconds with Vedic Maths
• Master Five Digit Multiplication in Seconds Using Vedic Maths

For more easier explanation make sure you check out the video tutorial section in these articles.
4 Digit Multiplication By Vedic Maths

3. Creativity:

Vedic Mathematics inspires creativity by offering multiple methods to solve a single problem. This encourages students to explore and discover their unique approaches, making the learning process engaging and stimulating.
Steps to Solve:

1. Separate the number into its tens digit and unit digit (e.g., for 25, tens digit = 2, unit digit = 5).
2. Multiply the tens digit by the number that is one more than it.
3. Write 25 (from the unit digit) next to the result from Step 2.

For example, to square 25:
Method: Use the Ekadhikena Purvena (“By one more than the previous”). This sutra is used to calculate the square of numbers ending in 5

Step 1: Take the Tens Place digit (2), and multiply this value with bigger than one of it so it will be 3. So after multiplication it will be 2×3=6. 

Step 2: Append 25 which is the square of Unit digit 5.

Step 3: Club the both the steps value and you will get the Final Answer → 625.Such flexibility allows students to approach math problems creatively and with confidence. Click here if you are interested in knowing more about how can we find the square of any number that ends with 5.

4. Speed and Accuracy

Most problems in Vedic Mathematics can be solved mentally with minimal steps, ensuring both speed and accuracy. This is particularly beneficial in competitive exams where time is of the essence.

Paravartya Yojayet(Transpose and Adjust. Which means Transpose and adjust (or apply). This sutra simplifies division by transforming the divisor.

Steps to Solve:

1. Rewrite the divisor in the form 10−x10 – x10−x if it’s close to 10, 100, etc.
2. Multiply the dividend with this transformed divisor.
3. Adjust for the effect of the transformation.

Example of Division using Paravartya Yojayet(Transpose and Adjust):
Divide 1224 by 12:

1. Break it down: 1224 ÷ 12 = 102.
2. Use proportionate values: Simplify 1224 into 1200 + 24. Divide step-by-step mentally.
   Final Answer: 102.

Fewer steps reduce the likelihood of errors, enhancing accuracy.

5. Intuitional Abilities

The methods of Vedic Mathematics encourage students to develop their intuition. When calculations become faster and less tedious, students naturally start relying on their instincts for problem-solving.

For example, using the Anurupye Shunyamanyat which means “If one is in ratio, the other is zero”:
This sutra is applied in proportional equations where one term becomes zero when proportions are identified.

Steps to Solve:

1. Identify the proportional terms.
2. If proportions are satisfied, set the remaining term to zero.

Examples:

This intuitive approach to calculations builds confidence and sharpens analytical thinking. To read more about these eye-opening methods, make sure that you read The 16 Sutras of Vedic Maths. 

6. Improved Memory and Concentration

Since Vedic Math emphasizes mental calculations, students develop their memory and concentration significantly. Without depending on calculators or paper, students learn to retain intermediate results in their minds for further steps.

For instance, solving 96×94 mentally using Nikhilam Navatashcaramam Dashatah which means “All from 9 and the last from 10”. 

Steps to Solve:

1. Subtract each number from the nearest base (e.g., 100).
2. Multiply the differences of the numbers from the base.
3. Subtract one number’s difference from the other number (or subtract the sum of differences from the base).
4. Write the results from Step 3 and Step 2 side by side.

Examples:

1. Find 98×96:
   • Subtract both numbers from 100: 100−98=2, 100−96=4.
   • Multiply the differences: 2×4=8.
   • Subtract one difference from the other number: 98−4=94.
   • Write 94 and 08 together: 9408.
   • 98×96=9408
2. Find 97×94:
   • Subtract from 100: 100−97=3, 100−94=6.
   • Multiply the differences: 3×6=18.
   • Subtract one difference from the other number: 97−6=91.
   • Write 91 and 18 together: 9118.
   • 97×94=9118

7. Fast Learning

Students can master the principles of Vedic Mathematics within a few months, unlike traditional math, which takes years to cover. The sutras are simple to learn, and their applications are intuitive.

It’s not just about how easy it is to learn, but also how amazing it is to realize that methods which have always been seen as too complex or too time-consuming, are too easy to understand. To know more, make sure you give a read to Seventeen Facts about 17

8. Algebraic Connection

Vedic Math is not limited to arithmetic; its techniques are equally effective for solving algebraic equations and other advanced mathematical problems.

Example using Sankalana-Vyavakalanabhyam Sutra (“By Addition and Subtraction”):

Steps to Solve:

1. Add or subtract the equations to eliminate one variable.
2. Solve for the remaining variable.

Examples:

1. Solve x+y=10 and x−y=4:
   • Step 1: Add the equations: 2x=14  ⟹  x=7
   • Step 2: Substitute x=7 into x+y=10
2. Solve 2a+b=8 and a−b=2:
   • Step 1: Add the equations: 3a=10  ⟹  a=10
   • Step 2: Substitute a into a−b=2 

b=4/3

Such versatility makes Vedic Math suitable for students at all levels.

9. Application Areas

Vedic Mathematics goes beyond basic calculations. According to Jagadguru Bharati Krishna Tirthaji, its sutras apply to every branch of mathematics, including geometry, trigonometry, calculus, and even astronomy.

For example:

• Trigonometry: Many sutras simplify sine and cosine calculations.
• Calculus: Derivatives and integrations can be approached using logical patterns derived from Vedic principles.

This broad application demonstrates the power and versatility of Vedic Math.

According To Jagadguru:  Vedic Mathematics covers each and every part of every chapter of every branch of mathematics including arithmetic, algebra, geometry plane and solid, trigonometry plane and spherical, conics geometrical and analytical astronomy calculus differential and integral etc. in fact there is no part of mathematics which is beyond their jurisdiction.

10. Invitation to Innovation

16 books were written by jagadguru shankaracharya sri bharati krishna tirthaji maharaja of Govardhana matha, puri(1884-1960). unfortunately, all those manuscripts had lost in his lifetime, after the acknowledgement of this irretrievable loss of divine knowledge in 1957, jagadguru written the introductory volume of all those 16 formulae in a single book on his later part of the life within one month and a half with his failing health and weak eyesight. 

As I mentioned above, the Jagadguru point of view on application of this 16 formula and its scope. vedic math’s simplicity and depth encourage researchers, scholars, and mathematicians to explore and expand vedic maths boundaries. 

Next Step: Vedic Math is More Than Just a Tool

If you want to help in “Making Math Easy” with Vedic Math School, this is the right place to begin. You can start with our Details Course on vedic Maths, Where Our team of more than 20 teachers and Decades of training and teaching experiences brings one of the Best Online Vedic maths teaching for all of you we cover more than 150 lessons and topics in detail with step by step manner. 

Our Vedic Maths courses are available for different groups of learners:

• Vedic Maths for School Students
• Vedic Maths for Teachers
• Vedic Maths for Competitive Exam Aspirants 
• Vedic Maths Beginner to Advance Course

Vedic Mathematics is not just a tool for quick calculations; it’s a gateway to developing creativity, intuition, and confidence in mathematics. Its timeless sutras have the potential to revolutionize the way we learn and apply math in our daily lives. Let me know which features of vedic maths you like a lot, and what you learned new today.