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. 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 … [Read more...]
Basic Requisites – Basics of Vedic Mathematics
While studying Vedic Mathematics, I came across some of the important concepts which forms base for most of those techniques. So before actually going through Vedic Mathematics techniques we need understand the basics used. I have collected all these concepts and named them as Basic Requisites for understanding and learning Vedic Mathematics. Basics of Vedic Mathematics: Place Value System Vinculum Numbers (English Meaning: Complement of a Number). Work with Quotients & Remainders. 1. Place Value System: It denotes the value present at particular place. Place Value concept is used for Vinculum Numbers (For conversion of Vinculum Numbers to normal numbers and vice versa). Example: 2345 5 is present at Units place. Hence Place Value of 5 is 5. 4 is present at Tens place. Hence Place Value of 4 is 40. 3 is present at Hundreds place. Hence Place Value of 3 is 300. 2 is present at Thousands place. Hence Place Value of 2 is 2000. Hence 2345 = 2000 + 300 + 40 + 5 2. Vinculum Numbers: Vinculum means bar(line) present over the symbol/digit. Sanskrit Name: विनक्ल्म् English Translation: Complement of a number. Vinculum Process or Vinculum Numbers are the very basics of Vedic Mathematics. Vinculum Numbers is concept used in Vedic Mathematics and are those numbers which have atleast 1 digit which is negative (having bar over them). Also called as Bar Numbers. As seen earlier Normal Number can be written as 2345 = 2000 + 300 + 40 + 5 Similarly Vinculum Numbers can be written as and can be converted to normal numbers as below: Another Approach for converting Vinculum Number to General Number, I generally remember this from R --> L as below (for better approach watch my below Video "Vedic Mathematics -1 (Vinculum 1of3)"). Convert 1st Bar digit from Right side to Normal digit (By taking its 10's complement) Decrement the previous digit by 1 (If it comes negative then repeat these … [Read more...]