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.

Conversion of Arabic numbers to Mayan numbers

You can convert the natural number up to 10,000 for example 123 or 2024.

Mayan
number

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 points 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 order	d20³ + c20² + b20¹ + a20⁰	From 8,000 to 159,999
3rd order	c20² + b20¹ + a*20⁰	From 400 to 7,999
2nd order	b20¹ + a20⁰	From 20 to 399
1st order	a*20⁰	From 0 to 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	Nomination	Decimal
	zero	0
	one	1
	two	2
	three	3
	four	4
	five	5
	six	6
	seven	7
	eight	8
	nine	9
	ten	10
	eleven	11
	twelve	12
	thirteen	13
	fourteen	14
	fifteen	15
	sixteen	16
	seventeen	17
	eighteen	18
	nineteen	19
	twenty	20
	twenty-one	21
	twenty-two	22
	twenty-three	23
	twenty-four	24
	twenty-five	25
	twenty-six	26
	twenty-seven	27
	twenty-eight	28
	twenty-nine	29
	thirty	30
	thirty-one	31
	thirty-two	32
	thirty-three	33
	thirty-four	34
	thirty-five	35
	thirty-six	36
	thirty-seven	37
	thirty-eight	38
	thirty-nine	39
	forty	40
	forty-one	41
	forty-two	42
	forty-three	43
	forty-four	44
	forty-five	45
	forty-six	46
	forty-seven	47
	forty-eight	48
	forty-nine	49
	fifty	50
	fifty-one	51
	fifty-two	52
	fifty-three	53
	fifty-four	54
	fifty-five	55
	fifty-six	56
	fifty-seven	57
	fifty-eight	58
	fifty-nine	59
	sixty	60
	sixty-one	61
	sixty-two	62
	sixty-three	63
	sixty-four	64
	sixty-five	65
	sixty-six	66
	sixty-seven	67
	sixty-eight	68
	sixty-nine	69
	seventy	70
	seventy-one	71
	seventy-two	72
	seventy-three	73
	seventy-four	74
	seventy-five	75
	seventy-six	76
	seventy-seven	77
	seventy-eight	78
	seventy-nine	79
	eighty	80
	eighty-one	81
	eighty-two	82
	eighty-three	83
	eighty-four	84
	eighty-five	85
	eighty-six	86
	eighty-seven	87
	eighty-eight	88
	eighty-nine	89
	ninety	90
	ninety-one	91
	ninety-two	92
	ninety-three	93
	ninety-four	94
	ninety-five	95
	ninety-six	96
	ninety-seven	97
	ninety-eight	98
	ninety-nine	99