The Accountancy of Investment

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Contracted Multiplication In this process the subproducts are shortened at each step by one figure, taking into account, however, the carry- ing amount from the rejected figures.
1.104081 .905731 (first 6 figfures X 9) 993673 (first 5 figures X 0) (first 4 figures X 6) . . . , 5520 (first 3 figures X 7) 773 (first 2 figures X 3) 33 (first figure X 1) 1 1.000000 Digitized byV^OOQlC INTEREST AND DISCOUNT 179 Here we commence to multiply by 9 at the sixth figure, 8 ; the product would be 72, but w
...e know that the rejected 1, X 9, would make the product nearer 73 ; this subproduct, therefore, becomes 993673. In each of these partial prod- ucts the last retained figure is slightly increased, if neces- sary, by mental allowance for the next rejected figure. The last figure of the final product will, even then, not always be exact, but may vary one or two units from the correct prod- uct. In all multiplications by rounded decimals, there is an error, small it is true, in the product; this final error may be reduced to as small a quantity as desired, by in- creasing the decimal places in the factors to such extent as the accuracy of the work may require.

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