Advanced abacus: Japanese theory and practice by Takashi Kojima

By Takashi Kojima

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Extra resources for Advanced abacus: Japanese theory and practice

Sample text

Now subtract the 4 from the 13 by setting 4 on E and adding 6 to the 3 on F. This gives you 49 on EF, with the 4 on E as the first quotient figure. Of course, in this particular problem if the operator had looked at the problem carefully, he would have tried 4 the first time. An experienced operator can see at a glance that 4 is the proper first number of the quotient. STEP 3: Now multiply the 2 on B by the 4 on E, and subtract the product 8 from the 97 on FG. This leaves, on FGH, 896 as the remaining dividend (Fig.

DISADVANTAGE: Its utility is limited to problems in which the divisor is a number just a little smaller than 100, 1 000, etc. , Rules 1 and 2 given for finding trial quotient figures do not often apply. In such cases, this method of division is awkward, and the standard method of division is more efficient. 94 = 1 750 Advanced Abacus Japanese Theory and Practice, by Takashi Kojima V - MORE ABOUT DECIMALS In my first book I included a chapter on decimals. I tried to show in that discussion the Japanese method of handling decimal fractions of various sorts.

To understand this compare the examples below, which show the standard written method (left) and the abacus method (right). In a trinomial problem this is what happens. At left is the written method and at right the abacus method. This means that the numbers handled in the Japanese abacus method as opposed to the Western written method are smaller and simpler, on the other hand, the number of manipulations required is larger. Nevertheless, once an operator becomes accustomed to using this Japanese method he can obviously do a problem faster than he would have been able to on paper.

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