Antyayor dasake'pi

 Antyayor Dasake'pi" is a multiplication technique that's particularly useful when multiplying numbers that are close to each other and close to a base of 10 or its multiples. The sutra suggests breaking down the numbers into components that are close to 10 and then compensating for the deviation from 10.



For example,

let's say you want to multiply 12 by 18. Using this sutra, you would break down 12 into 10 + 2 and 18 into 10 + 8. Then you multiply the components:


(10 + 2) × (10 + 8) = 10 × 10 + 10 × 8 + 2 × 10 + 2 × 8


Simplifying this, you get:


100 + 80 + 20 + 16 = 216


This method can help simplify calculations involving numbers that are near 10 or its multiples and streamline the multiplication process.




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