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Shri Mahavir Jain Aradhana Kendra
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CHAPTER II-ARITHMETICAL OPERATIONS.
CHAPTER II.
ARITHMETICAL OPERATIONS.
Acharya Shri Kailassagarsuri Gyanmandir
.9
The First Subject of Treatment.
Hereafter we shall expound the first subject of treatment, which is named Parikarman.
Multiplication.
The rule of work in relation to the operation of multiplication, which is the first (among the par ikarman operations), is as follows:
1. After placing (the multiplicand and the multiplier one below the other) in the manner of the hinges of a door, the multiplicand should be multiplied by the multiplier, in accordance with (either of) the two methods of normal (or) reverse working, by adopting the process of (i) dividing the multiplicand and multiplying the multiplier by a factor of the multiplicand, (ii) of dividing the multiplier and multiplying the multiplicand
1. Symbolically expressed, this rule works out thus:
In multiplying ab by cd, the product is (i) abx (a × cd); or (ii) (ab × c) ×
a
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cd
; or (iii) ab x cd. Obviously the object of the first two devices here is to facilitate working through the choice of suitable factors.
C
The anuloma or normal method of working is the one that is generally followed. The viloma or the reverse method of working is as follows:
To multiply 1998 by 27:
1998.
