Mathemagic The vedic way-3

[Guest guest]

Simple ways to multiply through base numbers

Mathemagic The vedic way-3

----

----------

Debmalya Banerjee

 

Base and Nikhilam multiplication

 

Last week we saw how we can find the compliment of a number. Hope you

all remember that finding the compliment of a number is an essential

step for solving multiplication problems. But before proceeding

directly to a multiplication problem we also need to understand one

more simple concept. That is "Finding Base of a number".

 

The power of 10, which is above a certain number, is considered to be

the base of a number. For example the base of 92 is 100. That means

the power of 10 (in this case 100) is "that power" which is above

this particular number (i.e. 92). Similarly, the base of the single-

digit number 7 is 10. That means the power of 10 (in this case 10

only) is "that power" which is above that particular number (i.e. 7).

 

Consider an example 99 into 99.

 

(Nikhilam Multiplication)

 

Base=100

 

99 - 01

 

 

X 99 - 01

 

___________________

 

98/01

 

n1 is the compliment of the number 99. 99-01 gives 98 as the answer

(But this has to be done crosswise) and 01 x 01 gives 01 as the

answer. Now joining them the answer is 98/01. In Vedic maths lot of

times answers are divided into two parts hence that slash exists

between 98 and 01.

 

So this proves that the first step to solve a multiplication problem

is to identify the base and the second step is to find the compliment

of the numbers involved in multiplication.

 

The same method is applicable for a three-digit number also. Let us

consider an example.

 

Base =1000

 

992-008

 

 

X 994-006

 

______________

 

986/048

 

At the onset the base was identified to be 100. Next we proceed to

find the compliment of the numbers 992 and 994.008 is the compliment

of 992 and 006 is the compliment of 994. Then the third step which is

involved is cross subtraction. 992-006 or 994-008 whichever

mathematical operation we undertake the answer is 986. Finally the

compliments have to be multiplied. Another question might arise in

the mind of the readers here.

 

When we are multiplying 8 and 6, why are we writing the answer as

048? The reason is since the base is 1,000 and the same contains

three zeros we are required to have three digits in the left side and

hence simply cannot write 48.

 

Solve the following

 

1) 94x98, 2) 7x8, 3) 93x88, 4) 994x997, 5) 995x999, 6) 92x99, 7)

97x90

 

Answers to last week's questions

 

1) 76 , 2) 4311, 3) 4313, 4) 5995, 5) 6000, 6) 013 , 7) 438761

 

 

The author is a finance professional as well as the youngest faculty

of World Academy for Vedic mathematics and conducts workshops on the

subject. He can be reached at dheuyertaale

http://www.telegraphindia.com/1070126/asp/jamshedpur/story_7312928.asp