The beauty of maths is that there are many different ways to solve a single problem. You can use patterns, numbers and even simple tricks. We have already seen how to derive answers for any numbers divided by 9 in the "

**Beauty of number 9**" blog post. And today we are extending this further to find answers for numbers divided by 99,98 etc.###
__How to divide the number 141215 by 99?__

We see that 99 has two digit numbers, so

- Rule 1: Split the number into pairs as 14 | 12 | 15 and note that the last pair will be the part of our remainder.
- Rule 2: Put the first LHS pair down, next add the LHS pair to the consecutive pairs to get the next digits and do the same until you finish adding all the pairs

Vedic Maths Division by 99 |

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__How to divide the number 141215 by 99?__

Vedic Maths Division by 99 |

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__
How to divide any numbers by 999?__

Again having even pairs and with 999 being three digit number, lets pair the dividend in threes.Vedic Maths Division by 999 |

The above examples work because the divisor is close to their base 100 ,1000 etc. And it work under the vedic maths principle of

*Nikhilam Navatashcaramam Dashatah*division.
The Nikhilam sutra states “

**” which means you are applying the Nikhilam formula on the divisor to get its complement. For 99,999 , our complement is 1 which when multiplied is just the same. But for divisor 98, the complement is 2 which get multiplied as we move to the next digits. For example,***all from 9 and the last from 10*Vedic Mathematics Division by 98 |

Step 1- Bring 14 down as answer

Step 2- Next, double 14 ( using complement 2) and add the answer to the 12

Step 3- With the answer got from step 2, double it to add to 15. The answer got in this step is our remainder.

If you have learnt the above trick, you now can solve any numbers divisible by 9, 99, 999 and so on. And before you could ask,

**what if I have odd pairs of numbers?**In this case, start by splitting the digits as pairs from the RHS towards the LHS. Example,Vedic Maths Division by 99 |

Good one Uma....very informative post, you have such a passion for Vedic maths :)

ReplyDeleteWow....great information, learned a new thing...thanks for sharing

ReplyDeleteThat was interesting

ReplyDeleteVery Informative! Quite helpful for the kids. Thanks for sharing!

ReplyDeletei got quantitative aptitude lesson :d

ReplyDeleteWow! Very interesting Uma! I always wished to learn vedic maths. You post has given a chance learn something. Thank you! I have a doubt, what to do if there are more than 6digits?

ReplyDeleteRegards,

Sindhu

Tantu

The Arts & Me

Cool Uma! You know so many things :)

ReplyDelete