- 12 x 99
- 234 x 999
- 6316 x 9999 and so on...

Note this method is applied to numbers with same number of digits in them. Other variation are covered later.

Let's take an example of 234 * 999. Do try it on piece of paper using the usual method of multiplication.

Vedic Method is as follows. Answer is calculated in two parts and later combined together to get the final answer.

To know what is 10's complement you can refer (Vedic Maths #01: Complement method - Subtraction from 100/1000/10000). Here is mathematical analysis of the same.

Lets take a generic number xyz, and we need to do

xyz * 999

xyz value can be written as x * 100 + y * 10 + z * 1

= (100x + 10y + z) * 999

= (100x + 10y + z) * (1000 - 1)

= 100000x + 10000y + 1000z - 100x - 10y - z

= 100000x + 10000y + 1000(z - 1) + 1000 - 100x - 10y - z

= 100000x + 10000y + 1000(z - 1) + (1000 - xyz)

= 100000x + 10000y + 1000(z - 1) + (1000 - xyz)

= 1000(100x + 10y + (z - 1)) + (1000 - xyz)

= 1000(xy[z-1]) + 10's complement of xyz

= 1st part of answer + 2nd part of answer

This applies to number as big as 3450534 * 9999999.

## Links

Next Article - Vedic Maths #03: Multiplication by 999.... [with greater number of digits]Previous Article - Vedic Maths #01: Complement method - Subtraction from 100/1000/10000

All Article - Vedic Maths

Great job for publishing such a nice article. Your article isn’t only useful but it is additionally really informative. Thank you because you have been willing to share information with us. What Is A Reflection In Geometry

ReplyDeleteThe main focus will be on learning different techniques in solving word problems.Once the techniques are in place, solving word problems would be a breeze.

ReplyDeletePSLE tuition

PSLE math tuition online

PSLE english tuition online

PSLE science tuition online

English tuition singapore

Science tuition singapore

Maths tuition singapore

Primary PSLE Tuition Singapore

Every course is taught by the best teachers and conducted in an engaging manner to keep students involved.

ReplyDeletePSLE tuition online

Best PSLE Maths tuition

Best PSLE English tuition

Best PSLE Science tuition

Primary Mathematics tuition

Primary School Maths tuition

Online english tuition in Singapore

Thank you for your awesome service to the child. During early and middle childhood, the brain forms and refines a complex network of connections in the brain through synaptogenesis, pruning, and myelination. The process of forming connections is biologically driven, but experiences also promote synapse formation.

ReplyDeleteconcentration exercise for student

child concentration exercise in Chennai

maths tuition in Chennai

right brain training in Chennai

kids brain training in Chennai

memory improvement technique in Chennai

brain development training in Chennai