Base Method For Multiplication Part 2

BASE METHOD FOR MULTIPLICATION PART 2
METHOD 3 - NUMBERS ABOVE AND BELOW THE BASE

THERE ARE 5 DIFFERENT METHOD FOR BASE METHOD OF MULTIPLICATION BASED ON THE NUMBERS WE TAKE FOR MULTIPLICATION
1.NUMBERS ABOVE THE BASE
2.NUMBERS BELOW THE BASE
3.NUMBERS ARE ABOVE AND BELOW THE BASE
4.DIFFERENT BASES
5.WHEN BASE IS NOT A POWER OF 10

The Base Method of multiplication is a wonderful contribution of Vedic
Mathematics. The name Base Method is given by practitioners of Vedic
Mathematics in western countries. However, the actual Sanskrit sutra to define this system is: ‘Nikhilam Navatascaramam Dasatah.’ It
means ‘all from 9 and the last from 10.’

This system is called the Base Method because in this system we use a certain number as a base. This base can be any number, but generally we use powers of 10. The powers of 10 include numbers like 10, 100, 1000, 10000, etc. We select a particular base depending upon the numbers given in the question. Suppose we are asked to multiply 97 by 99; in this case the appropriate base would be 100 as both these numbers are closer to 100. If we are asked to multiply 1005 by 1020 then the appropriate base would be 1000 as both the numbers are closer to 1000. Secondly, we will find the answer in two parts — the left hand side and the right hand side. The left hand side will be denoted by the acronym LHS and the
right hand side will be denoted by the acronym RHS.
Please have a look at the procedure involved in this technique of
multiplication.
STEPS
(a) Find the Base and the Difference
(b) Number of digits on the RHS = Number of zeros in the base
(c) Multiply the differences on the RHS
(d) Put the Cross Answer on the LHS