The multi-abacus of claim 1 wherein the second zone beads nearest the second divider and the four third zone beads nearest the second divider are positioned for use to perform base eight calculations.Ĩ. The multi-abacus of claim 1 wherein the first zone beads and the two second zone beads are positioned for use to perform base four calculations.ħ. The multi-abacus of claim 1 wherein the first zone beads are positioned to perform base two calculations.Ħ. The multi-abacus of claim 1 wherein the third zone bead of a first color and the other third zone beads are of contrasting colors.ĥ. The multi-base abacus of claim 1 wherein the second zone bead nearer the first divider and the other second zone bead are of contrasting colors.Ĥ. The multi-abacus of claim 1 wherein the first zone bead, the second zone bead of a first color and the third zone bead of a first color are the same color.ģ. A multi-abacus useful for performing calculations in a number base selected from multiple number bases, the multi-abacus comprising: a) a frame b) a plurality of rods positioned parallel to each other across the frame c) a first zone bead positioned on each of at least a major portion of the rods in a first zone formed by the frame and a first divider d) two second zone beads positioned on each of at least a major portion of the rods in a second zone formed by the frame, the first divider and a second divider, the second zone beads being of different colors with the second zone beads of a first color being positioned nearer the first divider than the second zone beads of a second color and, e) five third zone beads positioned on each of at least a major portion of the rods in a third zone formed by the frame and the second divider, the third zone beads comprising one third zone bead of a first color and four beads of a second color, the third zone bead of the first color being located farthest from the second divider wherein the beads are colored and positioned so that the beads used with a particular number base can be readily identified.Ģ. Having thus described the invention, I claim:ġ. Teaching apparatus and method for solving algebraic linear equationsĬombined desktop abacus and electronic calculator Teaching apparatus and method for visually representing mathematical expressionsĮlastic pattern abacus and tool for changing arrangement of abacus beadsĬombined electronic calculator and abacus with deflective guide bars Some people who are unable to use a calculator because of visual impairment may use an abacus.Apparatus and method for scoring dart games Merchants, traders and clerks in some parts of Eastern Europe, Russia, China and Africa use abacuses, and they are still used to teach arithmetic to children. Although today many use calculators and computers instead of abacuses to calculate, abacuses still remain in common use in some countries. Some of these methods may work with non-natural numbers (numbers such as 1.5 and 3⁄4). For any particular abacus design, there are usually numerous different methods to perform a certain type of calculation, which may include basic operations like addition and multiplication, or even more complex ones, such as calculating square roots. Other designs, such as the Japanese soroban, have been used for practical calculations even involving several digits. Some designs, like the bead frame consisting of beads divided into tens, are used mainly to teach arithmetic, although they remain popular in the post-Soviet states as a tool. Today, abacuses are often constructed as a bamboo frame with beads sliding on wires, but originally they were beans or stones moved in grooves of sand or on tablets of wood, stone, or metal.Ībacuses come in different designs. The exact origin of the abacus is still unknown. The abacus, also called a counting frame, is a calculating tool that was in use in the ancient Near East, Europe, China, and Russia, centuries before the adoption of the written Hindu–Arabic numeral system.
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