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The tally system is a way of counting that is faster and more effective then counting with your hands. carved noches where found in Europe they where dated between 20,000 to 30,000 BCE.
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The abacus was invented around 3,000 BCE in Bbylonis. Early abaci used small stones or pebbles lined up in colimns in the sand.
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This machine was used for multiplication dividon, and square roots. It uses the decimal number system and also uses the binary number system.