The numbers 20 to 359, inclusive, were expressed by multiplying both the
kin and uinal signs by the numerical forms 0 to 19, and adding together the
resulting products. For example, the number 257 was written as shown in
figure 56, d. We have seen in Table VIII that 1 uinal = 20 kins,
consequently 12 uinals (the 12 being indicated by 2 bars and 2 dots) = 240
kins. However, as this number falls short of 257 by 17 kins, it is
necessary to express these by 17 kins, which are written immediately below
the 12 uinals. The sum of these two products = 257. Again, the number 300
is written as in figure 56, e. The 15 uinals (three bars attached to the
uinal sign) = 15 × 20 = 300 kins, exactly the number expressed. However,
since no kins are required to complete the number, it is necessary to show
that none were involved, and consequently 0 kins, or "no kins" is written
immediately below the 15 uinals, and 300 + 0 = 300. One more example will
suffice to show how the numbers 20 to 359 were expressed. In figure 56,
_f_, the number 198 is shown. The 9 uinals = 9 × 20 = 180 kins. But this
number falls short of 198 by 18, which is therefore expressed by 18 kins
written immediately below the 9 uinals: and the sum of these two products
is 198, the number to be recorded.
The numbers 360 to 7,199, inclusive, are indicated by multiplying the kin,
uinal, and tun signs by the numerals 0 to 19, and adding together the
resulting products. For example, the number 360 is shown in figure 56, _g_.
We have seen in Table VIII that 1 tun = 18 uinals; but 18 uinals = 360 kins
(18 × 20 = 360); therefore 1 tun also = 360 kins. However, in order to show
that no uinals and kins are involved in forming this number, it is
necessary to record this fact, which was done by writing 0 uinals
immediately below the 1 tun, and 0 kins immediately below the 0 uinals. The
sum of these three products equals 360 (360 + 0 + 0 = 360). Again, the
number 3,602 is shown in figure 56, _h_. The 10 tuns = 10 × 360 = 3,600
kins. This falls short of 3,602 by only 2 units of the first order (2
kins), therefore no uinals are involved in forming this number, a fact
which is shown by the use of 0 uinals between the 10 tuns and 2 kins. The
sum of these three products = 3,602 (3,600 + 0 + 2). Again, in figure 56,
_i_, the number 7,100 is recorded. The 19 tuns = 19 × 360 = 6,840 kins,
which falls short of 7,100 kins by 7,100 - 6,840 = 260 kins. But 260 kins =
13 uinals with no kins {107} remaining. Consequently, the sum of these
products equals 7,100 (6,840 + 260 + 0).
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