Multiplication method in Vedic Math

Multiplication method in Vedic Math

Multiplication: Numbers are close to the base.

The following steps are followed:

Step I: write the numbers and their deficit

Step II: Any product will have two parts and so Right part will consist of Product of both deficits and left part would consist of cross subtraction of either of one number and others deficits (plus carry).

If in right part the number of digits of product of both deficits are more than number of zero of working base, then the number of digits equal to number zeros is written down and rest is carried over to the left part.

Example:

When both numbers are below the working base the steps to be taken are as follows:

Multiply 98 by 86

Here both numbers 98 and 86 are less than working base 100.

Step I: write number and their deficits

For 98 the deficit is (100 – 98 = 2)

For 76 the deficit is (100- 86 = 14)

1113

Step II: Right part would be (2 x 14 = 28)

Left part would be (86 – 2 =  84);

So the answer would be 84/28 or 8428

Example:

Multiply 114 by 105

Here the working base is 100 and the numbers are above the working base 100.

Step I: write the numbers and their deficits

For 114 the deficit is (100 – 114 = -14)

For 105 the deficit is (100 – 105 = -5)

2224

Step II: The right part would be [-14 x (-5)] = 70

The left part would be 114 – (-5) = 114 + 5 = 119

So the answer would be 119 / 70 or 11970


Example

Multiply 135 by 111

Here the working the base is 100 and both numbers are above the base.

Step I: The numbers and their deficits are as follows:

For 135 the deficit is (100 – 135) = -35

For 111 the deficit is (100 – 111) = -11

Step II: The right part would be (-35) x (-11) = 385

The left part would be [135 – (-11)] = 135 + 11 = 146

Now, here the number of digits in right part of 385 is 3 and working base (100) have 2 digits and therefore, 3 is carried over to left part.

The number now becomes (146 + 3) = 149 on left part and the right part becomes 85 instead of 385

The answer is now 149 / 85 or 14985

333

3341

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