Dhaval Bathia
“(Q) Multiply 456789 by 999999 We subtract 1 from 456789 and get the answer 456788. We write this down on the left hand side. Next, we subtract each of the digits of 456788 (left hand side) from 9 and get 543211 which becomes the right hand part of our answer. The complete answer is 456788543211 More examples: The simplicity of this method can be vouched from the examples given above. Now we move to Case 2. In this case, we will multiply a given number with a higher number of nines.”
― Vedic Mathematics Made Easy
― Vedic Mathematics Made Easy
“Multiply 85 by 995 Here, the number 85 is close to the base 100 and the number 995 is close to the base 1000. We will multiply 85 with 10 and make both the bases equal thus facilitating the calculation. Since, we have multiplied 85 by 10 we will divide the final answer by 10 to get the accurate answer. • We multiply 85 by 10 and make it 850. Now, both the numbers are close to 1000 which we will take as our base • The difference is -150 and -5 which gives a product of 750 • The cross answer is 845 which we will put on the LHS • Thus, the complete answer is 845750. But, since we have multiplied 85 by 10 and made it 850 we have to divide the final answer by 10 to get the effect of 85 again. When 845750 is divided by 10 we get 84575 • Thus, the product of 85 into 9995 is 84575”
― Vedic Mathematics Made Easy
― Vedic Mathematics Made Easy
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