mathlearners

  • Home
  • History of Mathematics
    • 3500 BC – 1500 BC
      • Sumerians & Babylonians
      • Egyptians
      • Harappans
    • 1500 BC – 400 AD
      • Greeks
      • Mayans
      • Romans
      • Vedic Period
      • Post Vedic Period
    • 400 AD – 1200 AD
      • Hindu Numerals goes West
      • Indian Classical Period and Early Medieval Period
    • 1200 AD – 1600 AD
      • Indian Late Medieval Period
    • References
  • What is Vedic Mathematics
    • Basic Requisites
    • Multiplication
      • Nikhilam
      • Anurupyena
      • Urdhva Tiryak
      • Ekayunena Purvena
      • Antyaordasake’pi
      • Which sutras/methods to be applied to multiply numbers
    • Division
      • Nikhilam Sutra
      • Paravartya
      • Anurupyena Sutra
      • Flag Method
      • Special Types
        • Kevalaih Saptakam Gunyat & Vestanas
        • Reciprocals
        • Divide in 1 line
      • Division of Polynomials using Vedic Mathematics
      • Which sutras/methods to be applied to divide numbers using Vedic Mathematics
    • Solving Equations/Expressions
      • Solving Equations using Vedic Mathematics
      • (cont. )Equations – 2
      • (cont.) Equattions 3
      • (cont) Equations – 4
      • Factorization using Vedic Mathematics
      • HCF using Vedic Mathematics
    • Squares
      • Dvanda Yoga
      • Yavadunam
      • Ekadhikena Purvena
    • Square Roots
      • Specific Method
      • General Method
    • Cubes
      • Anurupyena
      • Yavadunam
    • Cube Roots in Vedic Mathematics
    • Which book to be referred for Vedic Mathematics?
  • Contact Us
You are here: Home / What is Vedic Mathematics / Shorcuts for Division in Vedic Mathematics / How to divide in Vedic Mathematics using Anurupyena Sutra & Vinculum

How to divide in Vedic Mathematics using Anurupyena Sutra & Vinculum

April 21, 2013 by Rahul Bhangale 4 Comments

 

Vedic Mathematics Anurupyena Sutra

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.

  • Basic Requisites page.
  • Anurupyena method from Multiplication
  • Nikhilam Method of Division
  • Paravartya

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.
Vedic Mathematics tricks for dividing numbers using Anurupyena Sutra
Try above 2 problems with multiplying factor 5 and 3 respectively (Will have to use Paravartya later;HomeWork :))

Vinculum

As seen earlier with bigger digits, calculation/process gets little bulky. So using Vinculum we need to convert bigger digits to smaller.

Prerequisites:

  • 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.

Example:

# 2621/828

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]

Vedic Mathematics tricks for dividing numbers using Anurupyena Sutra

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.

Vedic Mathematics tricks for dividing numbers using Anurupyena Sutra
1.Vinculum followed by Anurupyena followed by Paravartya
2.Vinculum followed by Paravartya

Vedic Mathematics tricks for dividing numbers using Anurupyena Sutra

Vedic Mathematics tricks for dividing numbers using Anurupyena Sutra

Using Anurupyena, dividing numbers in Decimal Format:

Anurupyena Method to divide numbers in Decimal Format
Anurupyena Method to divide numbers in Decimal Format

 

What You Think ????

[fb_button]

Which of the following examples should be solved using Nikhilam / Paravartya / Anuruyena / Vinculum and why ?? (Lets see how much these articles have been beneficent :))

1) 34245/118
2) 984653/986
3) 34523/48
4) 2647/72
5) 56434/1012
Subscribe us for regular updates

Name
Email

 

 

 

You May Like This to Read As Well ...

Anurupyena Sutra Vedic MathematicsAnurupyena Sutra – Multiplication in Vedic Mathematics Vedic Mathematics Nikhilam SutraNikhilam Sutra – Shorcuts for Division in Vedic Mathematics Vedic Mathematics Paravartya SutraParavartya – Division using Vedic Mathematics Basic Requisites – Basics of Vedic Mathematics How to Divide in 1 line In Vedic mathematics using Ekadhikena Purvena

Comments

  1. prateek says

    December 21, 2014 at 8:20 PM

    Hi Rahul,

    Can you solve this question by Anurupyena or Vinculum

    =485.4/713.36

    i tried to solve it but not getting the correct answer

    Log in to Reply
  2. jess says

    September 11, 2014 at 7:07 PM

    please clear my doubt which method is apply when…

    Log in to Reply
  3. Jim Rasmussen says

    November 16, 2013 at 3:28 PM

    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.

    Log in to Reply
    • Rahul Bhangale says

      November 16, 2013 at 5:19 PM

      Right !!! My Bad…I restated to avoid confusion.

      Log in to Reply

Leave a Reply Cancel reply

You must be logged in to post a comment.

Follow Us On Facebook

Popular Posts

Multiplication shorcuts in Vedic Mathematics Square Shortcuts In Vedic-Mathematics "Vedic Mathematics Book". Vedic Mathematics Division Tricks Does Complex Numbers Exists

==================== ==================== and many more ....

Tags

Adyamadyenantyamantya Antyayoreva Anurupyena Ekadhikena Purvena Flag Method Gunitasamuccaya Lopanasthapana paravartya Purana Apurnabhyam Sankalana Vyavakalanabhyam Sopantyadvavyamantyam Sunyam Anyat Sunyam SamasyaSamuccaye Urdhva Tiryak

Tags

Arabs Archimedes Aryabhata Baudhayana Brahmagupta Egyptians Euclid European Indian Madhava Mayans Pythagoras

Copyright © by mathlearners.com · All rights reserved ·