NATS 1700 Lecture : LECTURE 3

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every now and then someone s born with the unusual ability to memorize. & retain large # s for a long period of time. They can recall these numbers after weeks and do the math for large # s mentally without any external aids. They can achieve this by memorizing intermediate results and using when needed. We can typically multiple numbers about 5 digits long and only for a short period of time so we need calculators. The most ancient counting aids were vertical lines drawn on sand/ground and pebbles were placed. Such counters were made of a slab of stone with etched grooves or a piece of cloth with painted lines. These early counters are classifies as the dust abacus, line abacus & grooved abacus. Regardless of what materials were used they re all = abacus. Counting boards originated in mesopotamia (now iraq) more than 4000 years ago. Another portable abacus was developed in middle ages.

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