Vedic Math Special Multiplication Methods: Vedic mathematics is the collective name given to a set of sixteen mathematical formulas discovered by Jagadguru Swami Sri Bharati Krishna Tirthaji Maharaj. Each formula deals with a different branch of mathematics.
These sixteen formulas can be used to solve problems ranging from arithmetic to algebra to geometry to conics to calculus. The formulas are complete by themselves and applicable to any kind of mathematical problem.
In this article, We have Covered  Special Multiplication Methods of Vedic Math, Multiplication by  11 and many other digits by eleven.
Let’s get closer look on this.
.webp)
Vedic Maths Special Multiplication MethodsÂ
There are many types of multiplication methods in Vedic math. We use these types of methods from the Vedic math system only to simplify the multiplication process and save time.
These special multiplication methods include multiplication by 9, multiplication by 11, multiplication by 12, multiplication by 13, multiplication by 15, multiplication by 16, and many more. Let us see briefly about the above-mentioned special multiplication methods. And deeply about multiplication by 11 after those.
Multiplication Method by 9:Â
In this method, you have to subtract the multiplicand from 10 times the multiplicand. Here, the multiplier is 9.
Example: Let us say you want to multiply 8 by 9, then you have to subtract 8 from 10 times of 8, i.e., 80, and the final result is 72 (80 – 8), which is 9×8.
Multiplication Method by 12:Â
In this method, you have to add the products of the multiplicands 10 and 2. Here, the multiplier is 12.
Example: Let us assume you want to multiply 6 by 12. So in order to get the product, you have to add 6 times 10 (60) to 6 times 2 (12). And the product will be 72 (60 + 12), which is 12×6.
Multiplication Method by 13:Â
In this method, you have to add the products of the multiplicands 10 and 3. Here, the multiplier is 13.
Example: Let us assume you want to multiply 5 by 13. So in order to get the product, you have to add 5 times 10 (50) to 5 times 3 (15). And the product will be 65 (50 + 15), which is 13×5.
Multiplication method by 15:
 In this method, you have to add the product of multiplicand with 10 and half of the product of multiplicand with 10.
Example: Let’s suppose you want to multiply 3 by 15. So first, you have to multiply 3 by 10 (30), and then you should add half of that product (30), i.e., 15 by 30. And the product will be 45 (30 + 15), which is 15×3.
Multiplication by 16:Â
In this method, you have to add the products of the multiplicands 10 and 6. Here, the multiplier is 16.
Example: Let us assume you want to multiply 7 by 16. So in order to get the product, you have to add 7 times 10 (70) to 7 times 6 (42). And the result will be 112 (70 + 42), which is 16×7.
Vedic math multiplication by 11
In Vedic math, one of the special multiplication methods is multiplication by 11. In this method, we will see how we can multiply a given number (a multiplier), either a 2-digit, 3-digit, or 4-digit number, easily and quickly with a step-by-step process and with examples.
Multiplying a 2-digit number by 11
Let us see how to multiply a given two-digit number by 11 by using the special multiplication method from Vedic math.
Step 1: Add the two digits of the given two-digit number together.
Step 2: Place the sum of those two digits in between the two digits of the given two-digit number.
Step 3: If the sum of the two digits is greater than 9, then carry the number 1 (as the sum of two digits is always less than 19) over the left digit.
Example 1: Multiply 36 with 11.
Solve: 1) Add the two digits of 36: 3+6 = 9.
2) Place the sum (9) in between the digits of 36: 396.
3) Since the sum is not greater than 9, there is no need to carry a number.
Therefore, the product of 36 and 11 is 396.
Example 2: Multiply 69 with 11.
Solve: 1) Add the two digits of 69: 6+9 = 15.
2) Place the sum (15) in between the digits of 69: 6 15 9.
3) Since the sum is greater than 9, we should carry the 1 over the left digit: 759.
Therefore, the product of 69 and 11 is 759.
Multiplying a 3-digit number by 11
Multiplying a given three-digit number with 11 by using the special multiplication method of Vedic math
Step 1: Split the three digits of the given three-digit number as hundreds, tens, and one’s.
Step 2: Write the first hundred place digit.
Step 3: Now add the hundreds place and ten’s place digits together. And place that sum on the right side of the hundreds-place digit.
Step 4: Now add ten’s place and one’s place digit, and place that sum on the right side of the step 3 result.
Step 5: Finally write the person’s place digit at the right extreme.
Step 6: If the sum is greater than 9 in the above cases, then carry the 1 on the left digit.
Example 3: Multiply 321 with 11.
Sol: 1) Separate the digits 3, 2, and 1.
2) Write hundreds of place digits.
3) Add the hundreds place and ten’s place digits (3+2 = 5) and place it on the right side of 3, which gives 35.
4) Now add ten’s and one’s place digits: 2+1 = 3. And place it on the right side of the step 3 result, which gives 353.
5) Finally, put the one’s place digit at the right extreme, which gives 3531.
6) As there are no sums greater than 9, there is no need to carry 1 on the left digit.
Therefore, the product of 321 and 11 is 3531.
Example 4: Multiply 369 with 11.
Sol: 1) Separate the digits 3, 6, and 9.
2) Write hundreds of place digits.
3) Add hundreds of place and ten’s place digits (3+6 = 9) and place it on the right side of 3, which gives 39.
4) Now add ten’s and one’s place digits: 6+9 = 15. Here, you have to carry 1 on the left digit of the right side of step 3, which gives 3 10 5. Again, carry 1 on the left digit, which results in 405.
5) Finally, put the one’s place digit at the right extreme, which gives 4059.
6) As there are sums greater than 9, we carried the ones over the left digits.
Therefore, the product of 369 and 11 is 4059.
Multiplying a 4-digit number by 11
Multiplying a given three-digit number with 11 by using the special multiplication method of Vedic math
Step 1: Split the 4-digit number into its thousands, hundreds, tens, and one’s place.
Step 2: Write the thousands in the first place.
Step 3: Now add the thousands and hundreds of digits together. And place that sum on the right side of the thousandth place digit.
Step 4: Now add hundreds and tens place digits and place that sum on the right side of the step 3 result.
Step 5: Now add ten’s place and one’s place digit, and place that sum on the right side of the step 4 result.
Step 6: Finally write the person’s place digit at the right extreme.
Step 7: If the sum is greater than 9 in the above cases, then carry the 1 on the left digit.
Example 5: Multiply 4321 with 11.
Sol: 1) Separate the digits 4, 3, 2, and 1.
2) Write thousands, place digit 4.
3) Add thousands and hundreds of place digits (4+3) and place it on the right side of 4, which gives 47.
4) Now add hundreds and ten’s place digits (3+2 = 5) and place it on the right side of 47, which gives 475.
5) Now add ten’s and one’s place digits (2+1 = 3) and place it on the right side of 475, which gives 4753.
6) Finally, put the one’s place digit at the right extreme, which gives 47531.
7) As there are no sums greater than 9, there is no need to carry 1 on the left digit.
Therefore, the product of 4321 and 11 is 47531.
Example 6: Multiply 6543 with 11.
Sol: 1) Separate the digits 6, 5, 4, and 3.
2) Write thousands in place of the digit 6.
3) Add thousands and hundreds of place digits (6+5 = 11) and place it on the right side of 6, which gives 6 11. As the sum is greater than 9, carry 1 on the left digit. Which gives 71.
4) Now add hundreds and ten’s place digits (5+4 = 9) and place it on the right side of 71, which gives 719.
5) Now add ten’s and one’s place digits, 4+3 = 7, and place it on the right side of 719, which gives 7197.
6) Finally, put the one’s place digit at the right extreme, which gives 71973.
7) As there are sums greater than 9, we carried the ones over the left digits.
Therefore, the product of 6543 and 11 is 71973.
Similarly, you can multiply any number by 11 easily in a short time by using Vedic math techniques.
Multiplication using Nikhilam Sutra
The following is the list of Multiplication method using Nikhilam Sutra:
- Base Selection:
- Choose a suitable base for multiplication (usually a power of 10, like 10, 100, 1000, etc.).
- Digit Complements:
- Find the complements of the digits from the chosen base. For example, if the base is 10, the complements are 9, 8, 7, …, 1.
- Vertical Line Method:
- Draw a vertical line on the right side of the numbers to be multiplied.
- Pairing Digits:
- Pair the digits from the right, matching them with their complements from the left.
- Cross Multiplication:
- Multiply the paired digits and cross-multiply the complements.
- Cross-Addition:
- Sum the cross-products obtained in the previous step.
- Horizontal Addition:
- Perform horizontal addition to get the final result.
Conclusion on Vedic math multiplication
Multiplication by 11 can easily be done using Vedic Math techniques. This article provides the complete steps to perform the calculation so you can learn to multiply any number by 11. Also, find out the relevant examples to make your learning journey simpler.
FAQs on Vedic math multiplication by 11
1. What are the divisibility rules of 11 in Vedic math?
 If the difference between the sum  of its digits at odd places’ and the sum of its digits at even locations’ is either zero or a variety of divisible by means of 11.
2. How do I multiply a number by 5 using the Vedic math trick?
A popular Vedic math method is to multiply a number by 5. Multiplying many numbers by 5 can be done in a simple way that reduces the time required for calculation. To multiply a number by 5, divide the number by 2 and multiply by 10.
3. What is the fastest multiplication method?
Harvey said the Schönhage-Strassen course is very speedy. It takes months for a computer to resolve two numbers of 1 billion digits each using the squaring method taught in faculty. A computer using the Schönhage-Strassen technique can do this in 30 seconds.
4. Is Vedic math difficult?
 In many instances, youngsters discover it very tough to examine math words. But with Vedic math, they do not need to memorize a lot. Here, they simply want to miss nine tables. It eases the memory load and allows them to perform calculations quicker than regular methods.
5. Does Vedic math increase IQ?
Overall, Vedic math can do wonders for your child’s IQ. The trick he’s using is just to increase a kind of IQ by using the child’s ability to do things.
6. Which age is best for Vedic math?
 Vedic mathematics is suitable for children ages 14 and up, as it helps to solve difficult math problems in a nutshell.
Share your thoughts in the comments
Please Login to comment...