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The adding machine was invented by a nineteen-year-old French boy named Blaise Pascal way back in the year 1642. Blaise made it to help his father in his work. The man was a clerk, and all day long he had to do a tremendous number of mathematical calculations. The boy's invention consisted of a wooden box with sixteen dials on it. By turning the dials, one could do simple addition and subtraction very quickly.

review: http://www.ideafinder.com/history/inventions/addmachine.htm

The Abacus can also be considered an "adding" machine. More precisely a counting tool.

The oldest surviving counting board is the Salamis tablet (originally thought to be a gaming board), used by the Babylonians circa 300 B.C., discovered in 1846 on the island of Salamis.

http://www.ee.ryerson.ca/~elf/abacus/history.html

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