Anurupyena & Vinculum
Division using Vedic Mathematics when Nikhilam and Paravartya is not possible to be applied BUT if divisor is either multiplied or divided by some factor then it is possible.
Anurupyena Sutra Division
As seen earlier in Multiplication, Anurupyena means Proportion.
Topics need to be known before starting:
In this topic I will let you know the shortcut to divide numbers using Anurupyena Sutra. But before checking Anurupyena Methos below concepts are required.
Specific Condition Required:
As we know the meaning of Anurupyena (as proportion/ratio), we multiply/divide by factor to make divisor closer to larger number (To apply Nikhilam) OR to make closer to smaller number (To apply Paravartya).
Later we multiply/divide QUOTIENT with same factor.
Also Read => More Division Sutras in Vedic Mathematics
Anurupyena Division Tricks:
- Its always good to use factors for multiplication instead of division because if division is used then on dividing Quotient by that factor might create non-integer i.e. a decimal quotient. To avoid overheads its better to use multiplication.
- It might follow or followed by Vinculum for simplicity purpose.
As seen earlier with bigger digits, calculation/process gets little bulky. So using Vinculum we need to convert bigger digits to smaller.
- Vinculum and How to Play with Quotients and Remainders.
- Nikhilam and Paravartya Methods of Division
As discussed earlier when we have larger divisor we apply Nikhilam and when we have smaller divisor we apply Paravartya. But when we have 1 or more larger digits (6,7,8,9) in divisor then calculating answer becomes little lengthy/time consuming also big multiplications are to be done. So we can convert such divisors in Vinculum Number.
For already seen this example in Division’s Nikhilam method, 2621/828 requires multiplication with 7.
Using Vinculum we can convert bigger digits in smaller digits and then apply Paravartya Rule.
My Bad – In Below Example, Inside Bracket It Should have been [965 = 1 x 828 + 137]
Combinations of Anurupyena & Vinculum followed by Nikhilam/ParavartyaMethod
According to the Divisor we apply Anurupyena or Vinculum or both followed by Nikhilam or Paravartya Method.
Using Anurupyena, dividing numbers in Decimal Format:
What You Think ????
Which of the following examples should be solved using Nikhilam / Paravartya / Anuruyena / Vinculum and why ?? (Lets see how much these articles have been beneficent :))
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Can you solve this question by Anurupyena or Vinculum
i tried to solve it but not getting the correct answer
please clear my doubt which method is apply when…
Jim Rasmussen says
Where you write, “As far as possible try using Multiplication instead of Division as in case of division (Anurupyena), as dependency will be present on factor (to avoid irrational number).” it is incorrect to use the term “irrational number” in this situation. You would certainly have to depend on being able to find a useful factor to avoid a non-integer number, but that can’t make an irrational.
Rahul Bhangale says
Right !!! My Bad…I restated to avoid confusion.