Trick for Multiplication by 11 – Vedic Mathematics Method

Hi friends, in this Vedic Mathematics tutorial I am going to share How to multiply any number by 11 quickly. Just follow some simple steps and you will get your answer in a couple of seconds.

1) Multiply 2 digit number by 11

Let us multiply 72 by 11 using Vedic Mathematics trick.

Step 1: Split 72 as follows:

7_2

Step 2: Add 7 and 2, and write addition in between 7 and 2. So will get our answer as

792

Thus 72*11=792

Now, what if addition becomes two digit number. In such case, we just need to add 1 in the adjacent left digit. Let us take another example for this condition.

Multiply 85 by 11.

Step 1: Split 85 as follows:

8_5

Step 2: Add 8 and 5 and write addition in between them. But here addition becomes 13 and if we write 13 in between 8 and 5 answer become 8135 which is wrong. So in such situations, we need to write only 3 (from 13) and add 1 in 8. See below example.

Multiply-by-11-for-two-digit-vedic-mathematics

2) Multiply 3 digit number by 11

Let us multiply 345 by 11

Step 1: Split 345 as follows

3 _ _ 5

Step 2: Add  (3+4) and (4+5) and write in between 3 and 5. So we will get our answer as

3795

Thus 345*11=3795

Now, what if addition becomes two digit number. In such case, we just need to add 1 in the adjacent left digit. Let us take another example for this condition.

Multiply 849 by 11

Step 1: Split 849 as follows

8_ _9

Step 2: Add (8+4=12) and (4+9=13) and write in between 8 and 9. But here addition is two digit numbers (12 and 13) so we need to add 1 in adjacent left digits as follows.

Multiply by 11 for three digit vedic mathematics
Multiply by 11 for three digits Vedic mathematics

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How to Square & Multiply Numbers Quick & Easily – Vedic Mathematics Method

Addition, division, subtraction and multiplication symbols (Photo credit: Wikipedia)
Addition, division, subtraction and multiplication symbols (Photo credit: Wikipedia)

Part 1): A simple and quick method on How to square a number ending with 5.

In this tutorial we are going to learn one simple method of Vedic mathematics to make the square of a number which ends with 5.

Whenever a number ends with 5, definitely the last two digits will be 25. Now the remaining part of the answer can be calculated by multiplying a number with its next. For example if the given number is 35 then first part will be 25 and the remaining part will be 3×4=12. So the answer is 1225.

Example: Find square of 15.

tutorial 4 1

Here the last two digits will be 25 and the first two digits are calculated by 1×2=02. So the answer is 225.

Let us take another example for clear understanding.

Example: Find square of 65.

Solution: first part will be 6×7=42. So the answer is 4225.

tutorial 4 2

Part 2): Multiplication of two numbers having first digit same and last digits add up to 10.

Example: Multiply 46×44.

Solution:

tutorial 4 3 myclassbook.org

  • Bothe numbers having digit 4 same.
  • Last digits that are 6 and 4 add up to 10.
  • So we just multiply 4×5 =20 for getting first part of the answer.
  • Also multiply last digits (6×4=24) for second part of the answer.
  • So the answer is 2024.

Example: Multiply 71×79.

Solution:

tutorial 4 4 myclassbook.org

  • Bothe numbers having digit 7 same.
  • Last digits that are 1 and 9 add up to 10.
  • So we just multiply 7×8=56 for getting first part of the answer.
  • Also multiply last digits (9×1=09) for second part of the answer.
  • So the answer is 5609.

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Fast Multiplication of Two Numbers – Vedic Mathematics Trick

Hi friends, in this post you will learn about fast method for multiplication of two numbers. This method is known as Vedic Mathematics method for multiplication of two numbers.

Using vertically and crosswise multiplication we can easily find the multiplication of two numbers. Using this method we can multiply two numbers which are near to 10 or 100 within few seconds. For clear understanding we will solve some examples.

Example 1: Multiply 7 × 8.

Solution: Here 7 is 3 below 10 and 8 is 2 below 10.

Therefore we write as follows:

tutorial 2 multiplication of two numbers 1

The answer is 56. Here we get 6 from 3×2 and then 5 from (8-3) or (7-2).

Important note: In case if we get two digit vertical multiplications we have to think of carry (See example).

Example 2: Multiply 7 × 6.

Solution: Here 7 is 3 below 10 and 6 is 4 below 10. So the vertical multiplication will be 12. Here we have to add ‘1’ to the next place of answer (See below).

tutorial 2 multiplication of two numbers 2

Now let us solve one more example of multiplication of numbers which are closer to 100.

Example 3: Multiply 94 × 88.

Solution: Though it looks very difficult to multiply 94 by 88, yet it is very simple because both numbers are close to 100. 94 is 6 below 100 and 88 is 12 below 100.

tutorial 2 multiplication of two numbers 3

Here we get 72 by multiplying 6 with 12 and then 82 from (88-6) or (94-12).

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