VEDIC MATHS - MULTIPLICATION NEAR THE BASE

CASE I :

Both the numbers are near the base and below the base.

Eg:  9 x 8

In this case both 9 and 8 are near the base , ie 10. 

To multiply these two numbers 

1. first we have to find the deviation from the base.
2. ie, deviation = number - base
3. here deviation of 9 is, 9 - 10 = -1
4. and deviation of  8 is, 8 - 10 = -2
5. the answer has two parts RHS and LHS
6. RHS is product of deviations
7. LHS is cross addition of number and deviation

Eg : 99 X 98

CASE I I:

Both the numbers are near the base and above the base

In this situation the difference is that the deviation is +ve. Rest of the steps are the same.

Eg: 11 x 12 

Eg : 101 x 102

In this example base is 100, so RHS need two digits.

CASE I I I:

One above the base and one below the base

Eg : 11 x 9

Here one of the deviations will be negative. So the final result will be in vinculum form. So to get the natural number we have to convert the vinculum.

Eg :  1004 x 975