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Abacus: Definition, How It's Used, and Modern Applications

Abacus: A manual tool used to keep track of numbers and perform basic mathematical operations.

Investopedia / Joules Garcia

What Is an Abacus?

An abacus is a calculation tool used by sliding counters along rods or grooves in order to perform mathematical functions. In additi🍷on to calculating the basic functions of addition, subtraction, multiplication, and division, the abacus can calculate roots up to the cubic degree.

Abacus is also an academic accounting journal publiꦇshed and edite🐭d by the University of Sydney. 

Key Takeaways

  • An abacus is a manual tool used to keep track of numbers and to perform basic mathematical operations. 
  • Abaci have been in use in various parts of the world for over 4,000 years.
  • Even in the modern digital age, abaci remain popular for certain applications in accounting, education, and for use in austere environments.
  • The Australian business journal Abacus takes its name from this venerable tool.

Understanding the Abacus

Before the Hindu-Arabic number system was invented in India in the 6th or 7th century and i☂ntroduced to Europe in the 12th century, people counted with their fingers, and even their toes in tropical cultures. Then, as even larger quantities (greater than ten fingers and toes could represent) were counted, people picked up small, easy-to-carry items such as pebbles, sea shells, and twigs to add up💖 sums.

However, merchants who traded goods needed a more comprehensive way to keep count of the many goods they bought and sold. The abacus is one of many counting devices invented in ancient times to help count large numbers, but it is believed that the abacus was first used by the Babylonians as early as 2,400 B.C.

The abacus was in use in Europe, China, and Russia, centuries before the adoption of the written Hindu-Arabic numeral system. When the Hindu-Arabic number system was widely accepted, abaci were adapted to use place-value counting, a system in which the position of a digit in a number determines its value. In the standard system, base ten, each place represents ten times the value of the place to its rig🌜ht. Since the first abacus, the physical structure of abaci has changed, but the concept has survived almost five millennia and is still in use today.

Evolution of Counting Devices

Counting devices continued to evolve over time due to technological advancements. For example, in 1622, the modern slide-rule was invented and was widely used until 1972 when the Hewlett Packard HP-35 scientific calculator made the slide-rule obsolete. These days people rely on calculators on their computers and cell phones. Nevertheless, the abacus is still a trusted﷽ tool used by shopkeepers in Asia, and Chinatowns in North America, as well as by merchants, traders, and clerks in parts of Eastern Europe, Russia, and Africa.

Abacus vs. Calculator

In 1946, the U.S. Army held a calculation competition between an expert abacist and a U.S. officer with an electronic calculator. In four rounds out of five, the abacus beat the calculator.

Modern Applications

Another popular use of abaci around the world is to teach arithmetic to 🌳children, especially multiplication. T💎he abacus can be a substitute for rote memorization of multiplication tables.

In addition, people who can't use a calculator due to visual impairment may use an abacus. Blind children are often taught to use the abacus to learn math and perform calculations as a substitute for paper and pencil.

In austere field environments, rꦕudimentary abaci have been ♏commonly used by infantry soldiers among many of the world’s armed forces up to the present day. Commonly referred to as “pace counters” they are used to estimate a distance traveled on foot for navigational purposes by sliding a series of beads along a fixed piece of cordage; usually one bead every 100 paces. 

Academic Journal

Abacus: A Journal of Accounting, Finance, and Business Studies is a peer-reviewed academic journal named after the abacus. Abacus is published by Wiley-Blackwell on behalf of the Accounting Foundation based at the University of Sydney, Australia. It has been published since 1965 to cover current matters of academic and professional thought in accounting, finance, and business. The journal publishes new, original research; critical reviews; analyses of accounting, finance, and business regulatory frameworks; and analytical explorations of business, accounting, and financial practices. 

Where Is the Abacus Used Today?

Although largely replaced by electronic devices, abaci are still used for low-tech comput❀ations in settings where electricity may not be available. In addition, they are widely used as teaching tools, espe𓄧cially in Asia, and by the visually impaired, who may have difficulty reading the screen of an electrical calculator.

Is an Abacus Faster Than a Calculator?

Experienced abacists can perform some calculatio🍨ns faster than an electronic calculator, but it takes a great deal of practice and expertise to re🗹ach that level. For most people, the ease and simplicity of using calculators and other devices overshadow the potential gains of learning to make calculations on an abacus.

How Long Does It Take to Learn to Use an Abacus?

You can master basic calculations, such as addition, multiplication, subtraction, and division, within two or three months. For more complex operations, like powers and cube roots, it may take up to two years to learn to perform the calculations efficiently.

The Bottom Line

Along with slide rules, calculators, and electronic computers, the abacus is part of a long tradition of mathematical machines. Although invented thousands of years ago, abaci are still used as education tools and for quick calculations in settings where electricity may not be available.

Article Sources
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  1. New World Encyclopedia. "."

  2. Hewlett-Packard. "."

  3. Institute of Electrical and Electronics Engineers. "," Page 37.

  4. Toronto Metropolitan University. "."

  5. Wiley Online Library. "."

  6. SuperMaths. ""

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