Advanced Abacus by Takashi Kojima

Author:Takashi Kojima
Language: eng
Format: epub, pdf
ISBN: 978-1-4629-0365-8
Publisher: Tuttle Publishing

Advantages and Disadvantages

The advantages and disadvantages of this method of division are nearly identical with those of the method of multiplication which leaves the initial digit one of the multiplier out of calculation (see chapter 3, section 6).

ADVANTAGES:

(1) This method of division simplifies calculation when the second digit of the divisor is zero, as in 105, 1.08, etc.

When the divisor is a number whose second digit is small, such as 13 or 1.12, etc., often this method simplifies calculation, although the sort of difficulties illustrated in Example 4 may arise.

(2) As shown in Examples 3 and 4, when the divisor is a mixed decimal whose whole digit one is in the units place, the unit rod of the quotient is identical with that of the dividend. This is a great advantage to the abacus operator, as he has no trouble in finding the unit rod of the quotient.

For these reasons this method of division is employed extensively in the calculation of percentages in business, that is, for finding the cost of goods from the selling price and the percent of profit.

DISADVANTAGES:

(1) When the divisor is a number whose second digit is large, such as 19, 183, etc., this method is awkward.

(2) When the divisor is a number whose second and successive digits are large, this method usually is much too complicated.

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