Vedic Mathematics Sutras to Improve Your Addition and Multiplication

5 Vedic Mathematics Sutras to fasten your Addition & Multiplication

Is your child a slow learner and consumes more time than required in solving multiplication and addition sums? Have you been wondering how to deal with it? Are you ready to learn how to make your kids better at solving arithmetic equations? Thus, the solution to all of your problems is right here. In this post, you will discover the 5 Vedic Mathematics Sutras to fasten your Addition & Multiplication.

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What Are Vedic Mathematics Sutras?

The Vedic mathematics sutras are a collection of ancient techniques and strategies for solving mathematical equations more efficiently. It is one of the most effective ways for students to overcome their fear of arithmetic and achieve higher grades. 

The sutras were developed by Shri Krishna Tirthaji Maharaj, a mathematician, scientist, Sanskrit scholar, and astrology lover. Tirthaji wrote 16 sutras after meditating for eight years. Moreover, he learned and visualized the Vedic sutras while meditating. He published the Vedic Sutras in the mathematical journal called “Vedic Astrology and Mathematics.”

The Vedic sutras are also known as Ganit Sutras or simple mathematical systems. Furthermore, foreigners stole the 16 books on Vedic maths, but Tirathji somehow managed to reassemble his work and stacked it into a single volume for the people. 

What are the benefits of learning Vedic Maths?

1. Vedic mathematics sutras go beyond multiplication and addition to demonstrate the use of arithmetic calculation, square roots, cubes, number theory, algebra, geometry, division, calculus, and other complex concepts.

2. Maths is a tricky subject, and students often lose interest when schools introduce complex concepts to them. As a result, Vedic mathematics sutras can assist children in reducing concepts and making calculations faster and easier for them.

3. Enrolling children in Vedic math classes improves their memory, focus, interest, and concentration. As kids need to remember various Vedic multiplication sutras, Vedic maths sutras for addition, and more, it helps them boost their memory power as they learn to apply every sutra accordingly. 

4. The Vedic mathematics technique enables children to comprehend a more creative approach to solving high school class calculations. Even if students are average learners, they can solve problems quickly and develop an interest in math by overcoming the use of the monotonous calculating method.

5. Vedic math skills and principles provide a firm foundation in math and reduce stress. Furthermore, it results in faster and more precise mental calculations in less time, which helps children get higher grades in their exams.

5 Vedic Mathematics Sutras to fasten your Addition & Multiplication

1. Sutra: Nikhilam Navatascaravam Dasatah (Vedic multiplication sutras)

All from 9 and the last from 10

For multiplication of any number that is close to a multiple of 10

Step 1 – Deduct the values from their nearest multiple of 10, then multiply the results.

Step 2 – Subtract the values from the original numbers.

Step 3 –  At the beginning, write the result of Step 2, and at the conclusion, write the result of write the result by adding both the digits.

Let’s learn with examples –  

Example 1 – 98×95 = ?

Step 1 So, the nearest multiples of the numbers are 100

 Step 2 100-98 = 2 and 100-95 = 5 

 – 2×5 = 10

98 – 5 = 93 and 95 – 2 = 93 ( Note = The answer should be the same by subtracting ) 

Step 3 Now, add both the digits. 

Answer is 9310 

Example 2 – 91×87 =?

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100-91 = 9 and 100 – 87 = 13 

9×13 – 117

91-13 = 78 and 87-9 = 78

Answer is 7917  ( we added 1 to 78 ) 

Related Article: Simple Hacks to Learn Multiplication Tables [From 11 to 20]

2. Sutra: Parama Mitra (Vedic multiplication sutras)

This strategy is especially effective for students who have difficulties learning tables greater than 5. You must be proficient in tables 2, 3, 4, and 5 to understand this sutra. 

If the sum of two numbers is equal to the nearest base numbers, the numbers are said to be Parama Mitra.

For the integers 1,2,3,4,5,6,7,8,9,10 (to the working base 10) correspondingly, Parama Mitra is 9,8,7, 6, 5, 3, 2, 1, 0.

Step 1 Write the parama Mitra of the numbers you want to multiply.

Step 2 Separate the solution into two parts.

Step 3 Write the cross-sectional difference of the numbers.

Step 4 The parama Mitra of numbers must be multiplied.

Example 1 – 8×9 = ? 

In this case, 2 and 1 are the Parama Mitra of 8 and 9. 

Now, you can represent your answer as 8×9 & 2×1 

Find out the cross-sectional difference of the numbers ( 8-1 = 7 and 9-2 = 7 )

2×1 = 2 

Now put both the numbers together. Take the number you got from cross-sectional numbers and take a number you got from multiplying the Parama Mitra numbers.  

Answer is 72 

Example 2 – 6 x 9 = ?

Follow the same steps mentioned above.

In this case, 4 and 1 are the Parama Mitra of 6 and 9. 

Now, you can represent your answer as 6×9 & 4×1 

Find out the cross-sectional difference of the numbers ( 9-4 = 5 and 6-1 = 5 )

4×1 = 4 

Now put both the numbers together. Take the number you got from cross-sectional numbers and take a number you got from multiplying the Parama Mitra numbers.  

Answer is 54

3. Sutra: Urdva – Triyagbhyam (Vedic multiplication sutras)

A generic multiplication formula that can be used for any type of multiplication is called Urdhva Tiryagbhyam Sutra. It is also known as the vertically and crosswise method. 

Step 1 –  Multiply the last digits

Step 2 –  Multiply diagonally and add numbers 

Step 3 – Put Step 1 at the end and Step 2 at the start.

Step 4 – Multiply the first digits of each number

Step 5 –  Place them at the beginning.

Step 6 –  To get a result with more than two or more digits, add the first digits to the first numbers.

Example 1 – 13 x 11 = ?

Multiply the last digits – 3×1 = 3 

Then multiply diagonally and add numbers – ( 1x 1 = 1 ) + ( 3×1 = 3 ) = ( 4 ) 

Lastly, multiply the first digits of each number – 1×1 = 1

 Answer is 13 x 11 = 143 

Example 2  – 32×24 

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Multiply the last digits 2×4 = 8 

Multiply diagonally and add numbers ( 3×4 = 12 ) +( 2×2 = 4 ) = 16

Note – Since here the total is of 2 digit number, we will retain 6 as the second digit of the answer and carry 1 to the left-hand side. 

Multiply the first digits of each number – 3×2 = 6 ( The number that we retained, add here 6+1 = 7

Answer is 768 

4. Sutra: Shudha Method ( Vedic maths sutras for addition )

In Vedic mathematics sutras, single-digit integers 0-9 are referred to as pure numbers. You will merely add the units and drop the numbers at the tens’ spot. Furthermore, you can add from bottom to top or top to bottom.

So, when we see a two-digit number, we insert a (dot) instead of 1 and continue the single-digit forward.

Example 1 – 6 + 9 + 7 + 8

We will start from 9 

 8+7 = 15 

So, we put a dot in front of 7 and carry forward 6 to the next number

We will add 9 + 5 = 14 

So, now again we will put a dot next to 6 and carry forward to the next number

We will add 6+4 = 10 

It is again a 2 digit number, you will put a dot near 6 and take the unit digit. which is 0 

Now, add all the dots you have put next to the numbers. We have got 3 dots. So, put it before the number you have got above. 

Answer is 30

Now, we will take 2 digit numbers. 

When we add two or more digits, the dots from the previous addition, add it to the first number in the next row.

Example 2 – 23+56+89+67+84

7+4 = 11 So, as it is a two-digit number, we will put a dot next to 7 and carry forward the number 1.

9+1 = 10 So, as it is again a digit number, we will put a dot next to 9 and carry forward the number 1. 

6+0 = 6 So, as it is not a two-digit number, we don’t have to put a dot near 6. 

We have only got 6, so add 6 + 3 = 9 

Now we have got two dots. We have to add the 2 dots to the bottom number which is 8. 

8+2 = 10 

Now, add 10+6 = 16, put a dot near 6, and carry forward the number. 

 Add 8+6 = 14, Put a dot near 8 and carry forward the number. 

Now add 5+4 = 9, We don’t have to put a dot as it is a single-digit number.

It will be 9 + 2 = 11, put a dot near 2 as it is a 2 digit number. 

Now, put the unit digit before the number 9. 

You will put 1 before 9 and count the number of dots which makes a total of 319 

Answer is 319 

5. Sutra: Ekhadhikena Purvena ( Vedic maths sutras for addition )

We use this approach to simplify your addition in Vedic mathematics sutras. We take into account one number greater than the preceding one. 

Example 1 – Add 45 and 67

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Step 1 Add 7+5 = 12 Since this is a two-digit number, write 2 and carry the number 1 . You insert a star* below 6 in the tens’ place. 

Step 2  Add the numbers in the tens’ place. As star indicates the carry forward number, you will add 6+1+4 = 11 

The answer is 112. 

Example 2 – Add 89 and 48 

Step 1 = Add 9+8 = 17 

Step 2 Put a * near 4 

Add the numbers in the tens’ place along with the carry forward number.

4+1+8 = 13

The answer is 137 

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Conclusion

Vedic maths is one of the best approaches to learning maths in a simplified way. Kids who fear long calculations, online Vedic maths classes are the solution to your fears. You can practice these 5 Vedic Mathematics Sutras to fasten your Addition & Multiplication. If you find it useful, you can also browse our online Vedic maths classes. At PiggyRide, we offer an extensive range of classes & workshops that will help your kids to master the art of learning easy tricks to solve mathematical calculations. From online Vedic maths classes for kids to abacus classes & workshops, you can enroll your kids and maximize their learning.