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The Maya Civilization Around 2600 B.C-XVI in Central America Pre-Columbian Civilization Southeast of Mexico West of Honduras and Salvador North of Belize and Guatemala

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Writing They were the first to implant a writing system that represents the spoken language of their community.

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Agriculture Economy based on Agriculture Maya means : those who cultivate the corn No metal tools

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Science Astronomy development Development of Matematics tools to calculate the movement in the sky notably the moon and sun. Master the 0 numeral Solar year very precised times is counted in days, period of 20 days, in years of 360 days

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THE MAYAN NUMERATION Pure Vigesimal system for counting objects Modified Vigesimal system for days 3 signs are used to write the numbers 150150

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2

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7

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Numeration is additive from 1 to 19

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2 ways of writing it…

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NO SPECIFIC SYMBOLS FOR NUMBER GREATER THAN 19 INSTEAD… SYSTEM OF POSITION

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The Maya were not using the same system to count objects and numbers…. Objects Unit of Time 20x20x20x20 20x20x20 20x20 20 1 20x18x20x20 20x18x20 20x18 20 1

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Counting from 20… Numeration is one of POSITION Every number more than 20 needs to be decomposed into the sum of powers of 20 EX : 21= 20x1 +1 79=20x3+19 If a number is more than 20 than we need to write it on a vertical column. The position of the number determined its value We read the number from top to bottom and the power of 20 decreases.

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Think of floors The 2 nd floor is a multiple of 20 First floor Second Floor

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1 x 20 1 1 x 20 + 1 = 21

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3 x20 19 79 3 x 20 + 19 =

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The 3 rd floor is a multiple of 360 (18x20)=360 12 x 18 x 20 0 x 20 5 12 x 18 x 20 + (0 x 20) + 5 = 4325

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The 4 th floor or a multiple of 18x20x20=7200 15x18x20x20=108000 4x18x20=1440 7x20=140 10 109590

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Quizz !!! 1.Convert 25 into the Mayan System 25

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Quizz !!! 1.Convert 25 into the Mayan System 25

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2) Convert the following Maya number into a normal number ?

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350

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3) Convert the number into a Mayan Number 19578

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19578=14400 +5040+120+18 =(2 x 7200)+ (14 x 360) +(6x20) +18 4 th Floor3th Floor2th Floor1th Floor

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19578=14400 +5040+120+18 =(2 x 7200)+ (14 x 360) +(6x20) +18 18 6x20 14x18x20 2x18x20x20

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