Mayan numbers, conversions

Maya numbering is a numbering system that was developed and used throughout the Mayan Empire. As symbols to represent certain values, the points, the horizontal line and the shell organized in the levels are used.

Converting Arabic numbers to Mayan numbers

You can convert the natural number up to 10,000 for example 123 or 2021.

Mayan 
number
mayan numbers

Mayan math

The examples. Level 1 is the lowest level.
22 = 2*1 + 1*20 (two points at level 1, 1 point at level 2)
41 = 1*1 + 2*20 (one point at level 1, 2 point at level 2)
122 = 6*20
(two points at level 1, 1 point and the horizontal line at level 2)
402 = 2*1 + 0*20 + 1*202
(two points at level 1, the shell at level 2, one point at level 3)
8000 = 0 + 0*20 + 0*202 + 1*203
(levels 1, 2 and 3 the shell, a point at level 4)

Mayan numbering

In the base numbering system, the unit is represented by a point. Two, three, and four dots serve to represent 2, 3, and 4, and the horizontal line serves to represent 5. The symbol of a shell or snail served to represent zero. The Mayans could write any number from 0 to 19, using a combination of these symbols. The exact value of a number was determined by its vertical position. When raising a position, the basic value of the unit multiplied by twenty. In this way, the lowest symbol would represent the base units, the next symbol, in the second position, would represent a multiplication by twenty of the unit, and the symbol in the third position would represent a multiplication by 400, and so on. For example, the number 882 is written with four dots at the lowest level, four dots at the next highest level, and two points at the next level, to give 2 * 1, with 4 * 20, with 2 * 400. With this system the Mayans could write very long numbers up to 159,999. More about Mayan numbering

The table of Mayan mathematics

The horizontal levels and the multiplications.
4th orderd*203 + c*202 + b*201 + a*200From 8,000 to 159,999
3rd orderc*202 + b*201 + a*200From 400 to 7,999
2nd orderb*201 + a*200From 20 to 399
1st ordera*200From 0 al 19

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List of the first 10,000 Mayan numbers
from 0 to 100

Mayan numerals, nomination (writing) and decimal equivalences.
Mayan  NominationDecimal  
mayan number 0zero0
mayan number 1one1
mayan number 2two2
mayan number 3three3
mayan number 4four4
mayan number 5five5
mayan number 6six6
mayan number 7seven7
mayan number 8eight8
mayan number 9nine9
mayan number 10ten10
mayan number 11eleven11
mayan number 12twelve12
mayan number 13thirteen13
mayan number 14fourteen14
mayan number 15fifteen15
mayan number 16sixteen16
mayan number 17seventeen17
mayan number 18eighteen18
mayan number 19nineteen19
mayan number 20twenty20
mayan number 21twenty-one21
mayan number 22twenty-two22
mayan number 23twenty-three23
mayan number 24twenty-four24
mayan number 25twenty-five25
mayan number 26twenty-six26
mayan number 27twenty-seven27
mayan number 28twenty-eight28
mayan number 29twenty-nine29
mayan number 30thirty30
mayan number 31thirty-one31
mayan number 32thirty-two32
mayan number 33thirty-three33
mayan number 34thirty-four34
mayan number 35thirty-five35
mayan number 36thirty-six36
mayan number 37thirty-seven37
mayan number 38thirty-eight38
mayan number 39thirty-nine39
mayan number 40forty40
mayan number 41forty-one41
mayan number 42forty-two42
mayan number 43forty-three43
mayan number 44forty-four44
mayan number 45forty-five45
mayan number 46forty-six46
mayan number 47forty-seven47
mayan number 48forty-eight48
mayan number 49forty-nine49
mayan number 50fifty50
mayan number 51fifty-one51
mayan number 52fifty-two52
mayan number 53fifty-three53
mayan number 54fifty-four54
mayan number 55fifty-five55
mayan number 56fifty-six56
mayan number 57fifty-seven57
mayan number 58fifty-eight58
mayan number 59fifty-nine59
mayan number 60sixty60
mayan number 61sixty-one61
mayan number 62sixty-two62
mayan number 63sixty-three63
mayan number 64sixty-four64
mayan number 65sixty-five65
mayan number 66sixty-six66
mayan number 67sixty-seven67
mayan number 68sixty-eight68
mayan number 69sixty-nine69
mayan number 70seventy70
mayan number 71seventy-one71
mayan number 72seventy-two72
mayan number 73seventy-three73
mayan number 74seventy-four74
mayan number 75seventy-five75
mayan number 76seventy-six76
mayan number 77seventy-seven77
mayan number 78seventy-eight78
mayan number 79seventy-nine79
mayan number 80eighty80
mayan number 81eighty-one81
mayan number 82eighty-two82
mayan number 83eighty-three83
mayan number 84eighty-four84
mayan number 85eighty-five85
mayan number 86eighty-six86
mayan number 87eighty-seven87
mayan number 88eighty-eight88
mayan number 89eighty-nine89
mayan number 90ninety90
mayan number 91ninety-one91
mayan number 92ninety-two92
mayan number 93ninety-three93
mayan number 94ninety-four94
mayan number 95ninety-five95
mayan number 96ninety-six96
mayan number 97ninety-seven97
mayan number 98ninety-eight98
mayan number 99ninety-nine99
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