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Published byLenard Morrison Modified over 8 years ago
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Early Numeration Systems Simple Systems Place Value Systems
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Why start here? Who had the first numeration system? Why are they important?
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Mathematical System 1. Elements, Symbols 2. Operations on the elements 3. Compare the elements Counting numbers
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Egyptians – uses pictorial symbols called hieroglyphics Additive System – any given number is written by using numerals whose sum equals the number.
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stroke heel bone scroll lotus flower pointing finger fish astonished person
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Copied from original, 2000BC 85 math problems Alexander Rhind Scottish amateur archeologist, purchased it in 1858.
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I ones V fives X tens L fifty C one hundred (centum – century) D five hundred M one thousand (mille, millennium)
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Tablet with mathematics on it. Two symbols;
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Pythagoras triples – Babylonian tablet
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Numeration system is base 60. They have a place values, in groups of 60 Why is it based on 60? 1. 360 degrees is in a circle 2. Time: 24 hours in a day, 60 minutes for each hour, 60 seconds for each minute.
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Based on 20 with 18 20 = 1 20 = 20 18 * 20 = 360 18 * 20 = 7200
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Based on 10, place values are powers of 10 Symbols are called digits, we have 10 fingers
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Abu Ja’far Muhammad ibn Musa al’Khwarizmi: 790 A.D. – 850 A.D. Wrote two texts about the new number system Translated into Latin in 12 th century in Europe.
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Algorists – people for the new system Abacists – people against the new system. The numbers evolved from additive angles (1, 2, 3, 4) and the abacus manuscript notation (5, 6, 7, 8, 9, 0).
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