Quick Multiplying Technique

Vedic Mathematics is a magical method of fast calculation. This wonderful tool has been developed on the basis of Ancient Indian principles. Students still find difficulty in calculation and have fear of it. So in order to do Calculation easy and fast, Vedic Mathematics is helpful tool today. This Method helps students to do calculation with increased Speed rate without use of calculators. It is also helpful in competitive examination such as MBA/CAT and finally will take you to success.

Faster Multiplication:-

• Multiplying 2-digit numbers by 2 digit numbers.
• Multiplying 3-digit numbers by 3 digit numbers.

Let us consider example.

1.Example

75

x

75

--------------

375

+ 3750 ------(Normal way of Calculation)

--------------

5625

-------------

As above, is a normal way to calculate 2 digit number by 2 digit numbers. Let us do it using Vedic Mathematics.

2. Example

65

x

65

------------

4225

------------

Explanation of Multiplication using Vedic Mathematics is as follows:-

• We multiply 5 multiply by 5 and put 25 as right-hand side of the answer.

• We added 1 to the top left digit 6 to make it 7.

• We then multiplied it ( 7 ) by the bottom left digit 6 and got 42, which is the left-hand side of the answer.

• We got the correct answer 4225.

Similarly we can multiply 15 by 15, 25 by 25, 35 by 35 etc.This formula is not limited to same number or ending with 5. We can apply this formula to multiply a good number of two-digit and three digit numbers.

Pre-condition

• Left-Hand digit should be the same and the total of right-hand digits should be 10.

Lets us take another example:

76

x

74

------------

5624

-----------

In this example the left-hand digits are the same –i.e. 7, and the total of the right-hand digits is 10. So we can apply this formula here. Similarly just have a look at following.-

79

x

71

----------

5609 ---- (note to put 09 not only 9 as we are multiplying 2 digit numbers)

----------

Multiplying three-digit numbers by three-digit numbers.

Having done this for two digit numbers, we can extend the same formula to the three-digit numbers.

• In the case of three-digit numbers the first two digits on the left should be the same and the total of the digits on the right should be 10.

Let us take an example:

125

x

125

----------

15625

-----------

The steps will be:

• Multiply 5 by 5 and keep 25 on the right-hand side.
• Add 1 to 13 by 12 and put 156 on the left-hand side.
• The answer is 15625.

Applications:

The utility of this formula is wide. You can use this formula to multiply two-digit numbers then the first digits are same, but the total of the last digit does not come to ten then? Consider example as 77 x 75??

77 x 75 can be written as (75+2) x 75 and from the formula we know to calculate 75 x 75=5625

• Further we required to add 2 x 75=150 to 5625.

• The answer is 5625+150=5775.

Similarly we can work out with 77 x 74, 64 x 68 etc. Up to this we have worked with those numbers whose first digits were same and the total of the last digits exceeded 10. Now consider the example of 47 x 42

In this case 47 x 42, our first digits are same (4) but the total of last two digits is less than 10.

47 x 42 = 47 x (43-1) = 2021- 47 =1974.

Isn't this an easier method of multiplication? Watch out for my Part 2 on this series for more on multiplying numbers.