Vedic Math

Published: 12th September 2014 06:12 AM  |   Last Updated: 12th September 2014 06:12 AM   |  A+A-

KUMUDHA.jpgIn the last column we discussed a method of division with decimal answers. We discussed division by 9 and by 99. In this article we will look at division by 8 to get decimal answers.

 

Example: 311 / 8

The base is 10 so we set aside the last digit for remainder, which is where the decimal part of the answer starts. We include three zeroes to get up to the fourth decimal place. The complement is 2.

                 8   3   1   1   0   0   0

                 2

Bring the first digit down.

                 8     3     1     1     0     0     0

                 2

                         3

Multiply that by the complement and put the answer below the next digit i.e. 0. Then add 1 + 6 and write the answer below.

                 8     3     1     1     0     0     0

                 2            6

                         3     7

Next multiply 7 by the complement and put the answer below the next digit, 1.

                 8     3     1     1     0     0     0

                 2             6     14

                         3    7

Add 14 + 1 and write the answer below.

                 8     3     1     1     0     0     0

                 2             6     14

                         3     7     15

We repeat the two steps till we have a number below every digit. See below.

                 8     3     1       1      0        0       0

                 2             6     14     30     60     120

                         3     7     15     30     60     120

Since only one digit is allowed in each place, we carry over the surplus digits to the previous place. So 0 is retained, 12 is carried over and added to 60 to give 72. The 2 is retained and 7 added to 30 to give 37 and so on.

                 3     7     15     30     60     120

                 3     8     8     7     2     0

Answer: 38.8720

11203 / 898

The base for 898 is 1000 so we set aside the last 3 digits for the decimal part of the answer. We include one zero at the end to get the fourth decimal place. The complement is 102.

                 898     1     1     2     0     3     0

                 102

Bring down the first digit. Multiply it by the complement and write the answer below the next digits.

                 898     1     1     2     0     3     0

                 102             1     0     2

                              1     2

Add 1 + 1 and write the answer below the line. Next multiply 2 by the complement and write the answer below the next digits.

                 898     1     1     2     0     3     0

                 102             1     0     2

                                            2     0     4

                                     1

Add the digits in the next line and write the answer, 4, below. Multiply 4 by the complement and write the answer below the next digits.

               898     1     1       2     0     3     0

               102             1       0     2

                                             2     0     4

                                                  4     0     8

                            1     2      4

We have come to the last digit so we simply add the digits vertically and write the answer below.

               898     1     1       2     0     3     0

               102             1       0     2

                                            2     0     4

                                                    4     0     8

                             1     2       4     6     7     8.

Answer: 12. 4678

You can try these:

1)  113 / 8

2)  111 /89

3)  1234 / 889

4)  10010 / 89

5)  210012 / 8998

Stay up to date on all the latest Bengaluru news with The New Indian Express App. Download now
(Get the news that matters from New Indian Express on WhatsApp. Click this link and hit 'Click to Subscribe'. Follow the instructions after that.)

Comments

Disclaimer : We respect your thoughts and views! But we need to be judicious while moderating your comments. All the comments will be moderated by the newindianexpress.com editorial. Abstain from posting comments that are obscene, defamatory or inflammatory, and do not indulge in personal attacks. Try to avoid outside hyperlinks inside the comment. Help us delete comments that do not follow these guidelines.

The views expressed in comments published on newindianexpress.com are those of the comment writers alone. They do not represent the views or opinions of newindianexpress.com or its staff, nor do they represent the views or opinions of The New Indian Express Group, or any entity of, or affiliated with, The New Indian Express Group. newindianexpress.com reserves the right to take any or all comments down at any time.

flipboard facebook twitter whatsapp