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Advanced Abacus Techniques

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Advanced Abacus Techniques

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Abacus is tool used more often then any other device for calculations in the history of the world. Abacus, as simple as it may seem, actually has wide variety of operations to offer to people and is very much adoptive to the changing needs of the calculations of the world.

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It has performed some of the very advanced arithmetic calculations in matter of seconds, which a matured human mind will take more time to perform. This feature of abacus is the basis of its phenomenal success from ancient times. It has always satisfied the changing calculation needs of the world.

Advanced Arithmetic functions

Abacus can perform advanced arithmetic functions like multiplication and division despite the calculation of simple arithmetic functions like addition and subtraction. Abacus also has this incredible ability to perform the roots of the numbers, it is used to calculate square roots and cube roots but this needs high amount of proficiency in the use of abacus.


Multiplication on abacus needs high amount of practice and proficiency at the same time. People who have used abacus from long time feel very comfortable in the usage of abacus than any other calculating technique. The technique applied to perform multiplication calculations on the abacus are as follows:

If the digits in the multiplicand and multiplier are integers or mixed numbers (those with a whole part and decimal places), consider in each one only the digit in their whole parts and do not consider any decimal digit after the point, if any. In this way only the amount of digits before the decimal point are considered and others are ignored. This makes the calculations much easier.

If the number is a pure decimal consider those trailing zeros before the first significant digit and then add a negative sign to the total number of digits i.e. if we go after the decimal then the number of zeros before the first significant digit are taken with a negative sign assigned to them. For the computation of the numbers a formula is given as:

    N = Number digits on Multiplicand + Number digits on Multiplier + 1

Before computing N do not forget to add 1 to the number digits on multiplier.  Multiplication with abacus is easy to perform and its positional system makes it very convenient for the user to learn and perform multiplication easily.


Consider the product of 34 and 7

34 * 7 = 238

Set the multiplicand 34 and multiplier 7 on the rods.

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Multiply the 4 of 34 by 7 and add the product 28 on rods adjacent to the rod on which 4 was set. Having finished with this part of the multiplicand clear it from the abacus. This leaves 3 on one of the rods of multiplicand and the partial product of 28. Multiply the 3 with 7 and add the product 21 on the rods immediate to the rod on which 3 was set.

Clear the 3 from abacus leaving the rods with the answer 238 on the abacus, which were set to get an answer after multiplying 3 and 4 by 7.

Next Page: Abacus Division

Next: Importance of Abacus for Mathematical Development


Dear team,
Pl. help me out in solving division which involve multiple of fractions or double/multiple digit division

Comment posted by: sonika malhotra on 2010-02-23T03:51:57
do you have a formula for multiplication on the abacus please? thanks
Comment posted by: kovi on 2010-03-29T06:09:14
Dear team
please send me formulas of division with abacus system.
Comment posted by: Satvir Chand on 2011-04-05T11:55:09

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