YAVADUNAM
This is used to find squares of numbers that are close to the powers of base 10. Compare the number with the closest base to it and find the deficiency or excess. Square the difference and this is one part of the answer, reduce the given number or increase it by the difference it has to the power of base 10
Let us understand this with an example.
Let us try to find the square of 12
12 is near to 10 and it is 2 excess than 10.
1. Square the difference (excess in this case). so 2 x2 = 4. This is the unit place
2. Now add the excess to the number. the number is 12 so 12 + 2 = 14. This is the left part of the answer
3. Combining both of them we get = 144
4. Solving it in equation form,
122 = (12 + 2) ( 2)2 = 144

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Vedic Math: Intermediate level for Classes 6th to 9th
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