Monday 6 February 2012

Alternate Division

I have found that Division can be Alternately done by multiplication. I can explain that with the 'DIVISION BY 9' shortcut. Actually 1/9 = .111111111111111............... . Actually when you multiply a number by 11 you do it same as the steps of Division by 9 except exactly the last two steps. That is what happens here too. If you want to know more you can contact me.

Division by 9


A really awesome trick that simplifies division by 9 to a child's play:

Take a number 333414(Let this be called as the "Q" number). To divide this 333414 by 9:


Steps:
i) Write the first number as it is.
ii)Add this number to the next number in the Q number and this is the next number in the answer. If a two digit number comes up add the tens digit to the previous number in the answer.
iii)Do the same up-to last before digit in the Q Number.
iv)After you add the last number to the final Number i.e "4" (here) you divide the sum by 9 then if any quotient appears add it to the answer and if any remainder appears it is the number that comes as repeating number after Decimal.


If any remainder appears like in 427345, the reminder would be 7. So it would repeat the decimal like .7777777777777 .

So the answer would be: 47482.7777777777777777777777777777777777777777777777777777..........

In my list this is the second most easiest shortcuts ever. Of-course, this is applicable to any number above the Division line. As always, Please practice but especially this shortcut leads very less practice.

                                                                       Thank you.