By Takashi Kojima

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Extra resources for Advanced abacus: Japanese theory and practice

Sample text

STEP 4: Next, multiplying the 4 on A by the 7 on G, set the product 28 on HI. This makes a total of 30 015 on HIJKL (Fig. 127). STEP 5: Multiplying the 3 on C by the same 7 on G, set the product 21 on JK, and clear G of the 7. This makes a total of 30 225 on HIJKL (Fig. 128). STEP 6: Next, multiplying the 4 on A by the 3 on F, set the product 12 on GH. This makes a total of 150 225 on GHIJKL (Fig. 129). STEP 7: Finally multiplying the 3 on C by the same 3 on F, set the product 9 on J, and clear F of the 3.

The sales for the second month amounted to \$3 780. How much were the sales the first month? 008 on A (Fig. 103). 008. STEP 2: As the divisor is a four-digit number, suppose that you have divided the 3 780 on DEFG by 1000 and have got the 3 on D as the first quotient figure. Multiplying the 8 on A by the 3 on D, subtract the product 24 from the 80 on FG. This leaves, on EFG, 756 as the remainder of the dividend (Fig. 104). 008 are zero, you must set the product 24 on FG and not on EF. STEP 3: Suppose that you have divided the 7 560 on EFGH by 1,000 and have got the 7 on E as the second quotient figure.

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. , this method is awkward.