The Vedic math sutra “Saṅkalana Vyavakalanābhyāṃ” is translated as “By addition and by subtraction.” This sutra is used to simplify calculations involving addition and subtraction. Let me show you an example of how this sutra can be applied.
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Let’s calculate the sum of 456 and 789.
Step 1: Identify the nearest base. In this case, we can choose 500 as our base since it is near to 456.
Step 2: Decompose the numbers based on the chosen base.
456 can be decomposed as 500 – 44.
789 can be decomposed as 500 + 289.
Step 3: Perform addition and subtraction.
500 – 44 + 500 + 289
Step 4: Simplify the calculation.
500 + 500 = 1000
-44 + 289 = 245
So, the sum of 456 and 789 is 1000 + 245, which equals 1245.
By using the “Saṅkalana Vyavakalanābhyāṃ” sutra, we simplified the addition by breaking down the numbers based on the chosen base and then performed the addition and subtraction separately. This method can be helpful in mental calculations and can expedite arithmetic calculations.
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