x 400.
7600. caxtolli onnauhtzontli = 19 x 400.
8000. cenxiquipilli, or cexiquipilli.
160,000. cempoalxiquipilli = 20 x 8000.
3,200,000. centzonxiquipilli = 400 x 8000.
64,000,000. cempoaltzonxiquipilli = 20 x 400 x 8000.
Up to 160,000 the Nahuatl system is as simple and regular in its
construction as the English. But at this point it fails in the formation of
a new unit, or rather in the expression of its new unit by a simple word;
and in the expression of all higher numbers it is forced to resort in some
measure to compound terms, just as the English might have done had it not
been able to borrow from the Italian. The higher numeral terms, under such
conditions, rapidly become complex and cumbersome, as the following
analysis of the number 1,279,999,999 shows.[366] The analysis will be
readily understood when it is remembered that _ipan_ signifies plus.
_Caxtolli onnauhpoaltzonxiquipilli ipan caxtolli onnauhtzonxiquipilli ipan
caxtolli onnauhpoalxiquipilli ipan caxtolli onnauhxiquipilli ipan caxtolli
onnauhtzontli ipan caxtolli onnauhpoalli ipan caxtolli onnaui;_ _i.e._
1,216,000,000 + 60,800,000 + 3,040,000 + 152,000 + 7600 + 380 + 19. To
show the compounding which takes place in the higher numerals, the analysis
may be made more literally, thus: + (15 + 4) x 400 x 800 + (15 + 4) x 20 x
8000 + (15 + 4) x 8000 + (15 + 4) x 400 + (15 + 4) x 20 + 15 + 4. Of
course this resolution suffers from the fact that it is given in digits
arranged in accordance with decimal notation, while the Nahuatl numerals
express values by a base twice as great. This gives the effect of a
complexity and awkwardness greater than really existed in the actual use of
the scale. Except for the presence of the quinary element the number just
given is really expressed with just as great simplicity as it could be in
English words if our words "million" and "billion" were replaced by
"thousand thousand" and "thousand thousand thousand." If Mexico had
remained undisturbed by Europeans, and science and commerce had been left
to their natural growth and development, uncompounded words would
undoubtedly have been found for the higher units, 160,000, 3,200,000, etc.,
and the system thus rendered as simple as it is possible for a
quinary-vigesimal system to be.
Other number scales of this region are given as follows:
HUASTECA.[367]
10. laluh.
20. hum-inic = 1 man.
30. hum-inic
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