Base Method of Multiplication

Base method of multiplication derived from Vedic Mathematics can be applied for multiplication of two numbers close to 100.

This post in is in continuation of an earlier post named “Vedic Multiplication of two numbers close to hundred“. Though you can understand this post stand alone, yet I’ll recommend you to read the linked post before reading this one.

In this post I’ll explain how to multiply two numbers lesser than the base (in this case 100). In the earlier post it was about both numbers more than 100.

Multiplication where both numbers are lesser than 100

Rule: Still remains the same as earlier. Here you go -

You will get the answer in two parts

First part, to get left hand side of the answer: Add the difference between 100 and either of the numbers to the other number

Second part, to get right hand side of the answer: multiply the difference from 100 of both the numbers

Example

93 x 94

First part: 93 – 100 = – 7; Add this to the other number, thus 94 + (- 7) = 87

Or you can start with the other number 94;

94 – 100 = – 6; Add this to the other number, thus 93 + (- 6) = 87

Result will be same in both the cases

Second part:

Multiply the difference from 100 of both the numbers.

Hence, (93 – 100) x (94 – 100) = -7 x -6 = 42

Combined effect:  87  | 42 = 8742

*| is just a separator.

 

Example

92 x 86

Step 1: 92 + (86 – 100) = 78

Step 2: (92 – 100) x (86 – 100) = -8 x -14 = 112

Combined effect will look like this: 78 | 112

Step 3: Add the 1 (digit at 100s place) of 112 to 78

Answer: 78 + 1 | 12 = 79 | 12 = 7912

 

When One number is lesser than 100 and the other is more than 100

Same Rule as Above

Example

96 x 103

First part: 96 – 100 = – 4; Add this to the other number, thus 103 + (- 4) = 99

Or you can start with the other number 103;

103 – 100 = 3; Add this to the other number, thus 96 + 3 = 99

Result will be same in both the cases

Second part:

Multiply the difference from 100 of both the numbers.

Hence, (96 – 100) x (103 – 100) = -4 x 3 = – 12

Combined effect:  99 | -12 = 8742

Now to remove negative sign from the right side, we have to take one from the left hand side. 1 when shifted from left to right becomes 100. Thus we’ll have:

Combined effect:  99 – 1 | 100 – 12 = 9888

*| is just a separator.

Example

89 x 113

= 89 + 13  | -11 x 13

= 102  |  -143

In this case, right side number is greater than 100, so we need to subtract it from next higher 100, i.e. 200. Hence, we’ve to take 2 from left hand side, so that we get 200 on the right hand side.

= 102 – 2 | 200 – 143

= 100 | 57

= 10057

Does this method makes such multiplications simpler for you? Leave a comment below to express your opinion.

48 Comments
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