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By Takashi Kojima

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166). STEP 6: Finally you must multiply the 4 on E by 18, and add the product 72 to the 2 on H. In this process, first multiply the 1 on A by the 4 on E, and set the product 4 on G. This gives you 42 on GH. Next multiply the 8 on B by the same 4 on E, add the product 32 to the 42 on GH, and clear E of its 4. This gives you a total of 74 on GH. The answer is £74 5 s. (Fig. 167). NOTE: An alternative method for working this problem is to convert the numerical figures of this problem to pence, and then to multiply the result by 18.

177). 54 Advanced Abacus Japanese Theory and Practice, by Takashi Kojima NOTE: The 5 on D corresponds with the b of the algebraic expression. STEP 5: Multiplying the 4 on A by the 5 on D, subtract the product 20 from the 22 on EF. This leaves 25 on FG (Fig. 178). NOTE: (4 x 5) corresponds with the 2ab of the expression. STEP 6: Square the 5 on D, and subtract the product 25 from the 25 on FG. This clears the board of 625, and shows that the 5 on D is the correct second quotient figure. The answer is 25 on CD (Fig.

Add 5 to the 3 on I producing 8 on I (Fig. 158). STEP 3: Subtract 7 from the 107 on ABC, leaving 100 on ABC. As you cannot subtract 49 Advanced Abacus Japanese Theory and Practice, by Takashi Kojima 19 from the 15 on EF, borrow 1 from rod C. Subtracting 19 from 20, add 1 to the 15 on EF. This gives you 16 on EF and 99 on BC (Fig. 159). STEP 4: As you cannot subtract 10 from the 8 on I, borrow 1 from the 16 on EF, and subtracting 10 from 12, add the result 2 to the 8 on I. This gives you 10 on HI and 15 on EF (Fig.

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Advanced abacus: Japanese theory and practice by Takashi Kojima


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