the mayan numeration system
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The Mayan numeration system. 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. What have they done ?. Writing. - PowerPoint PPT PresentationTRANSCRIPT
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The Maya The Maya Civilization 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
![Page 3: The Mayan numeration system](https://reader033.vdocuments.mx/reader033/viewer/2022061508/56814354550346895dafd18a/html5/thumbnails/3.jpg)
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Writing Writing
They were the first to implant a writing system that represents the spoken
language of their community.
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Agriculture Agriculture
Economy based on Agriculture
Maya means :those who cultivate the corn
No metal tools
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ScienceScience•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 NUMERATIONTHE MAYAN NUMERATIONTHE MAYAN NUMERATIONTHE MAYAN NUMERATION
Pure Vigesimal system for counting objects
Modified Vigesimal system for days
3 signs are used to write the numbers
• 1
5
0
![Page 9: The Mayan numeration system](https://reader033.vdocuments.mx/reader033/viewer/2022061508/56814354550346895dafd18a/html5/thumbnails/9.jpg)
• •2
![Page 10: The Mayan numeration system](https://reader033.vdocuments.mx/reader033/viewer/2022061508/56814354550346895dafd18a/html5/thumbnails/10.jpg)
••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
![Page 15: The Mayan numeration system](https://reader033.vdocuments.mx/reader033/viewer/2022061508/56814354550346895dafd18a/html5/thumbnails/15.jpg)
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…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 2nd 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
793 x 20 + 19 =
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•The 3rd floor is a multiple of 360 (18x20)=360
12 x 18 x 20
0 x 205
12 x 18 x 20 + (0 x 20) + 5 =
4325
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•The 4th 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
• •
?
![Page 25: The Mayan numeration system](https://reader033.vdocuments.mx/reader033/viewer/2022061508/56814354550346895dafd18a/html5/thumbnails/25.jpg)
2) Convert the following Maya number into a normal number
• •
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
4th Floor
3th Floor
2th Floor
1th Floor
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19578=14400 +5040+120+18 =(2 x 7200)+ (14 x 360) +(6x20) +18
• • • • •
• •
18
6x20
14x18x20
2x18x20x20
• • •