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s with their neighbors,
learn also the rule of their neighbors: Thus, in Virginia and the
Eastern States, where the dollar is 6s. or 3/10 of a pound, to turn
pounds into dollars, they multiply by 10, and divide by 3. To turn
dollars into pounds, they multiply by 3, and divide by 10. Those in
Virginia who live near to Carolina, where the dollar is 8s. or 4/10 of
a pound, learn the operation of that state, which is a multiplication
by 4, and division by 10, _et e converso_. Those who live near Maryland,
where the dollar is 7s. 6d. or 3/8 of a pound, multiply by 3, and divide
by 8, _et e converso_. All these operations are easy, and have been
found by experience, not too much for the arithmetic of the people,
when they have occasion to convert their old Unit into dollars, or the
reverse.
2. As to the Unit of the Financier; in the States where the dollar is
3/10 of a pound, this Unit will be 5/24. Its conversion into the pound
then, will be by a multiplication by 5, and a division by 24. In the
States where the dollar is 3/8 of a pound, this Unit will be 25/96 of
a pound, and the operation must be to multiply by 25, and divide by 96,
_et e converso_. Where the dollar is 4/10 of a pound, this Unit will
be 5/18. The simplicity of the fraction, and of course the facility
of conversion and reconversion, is therefore against this Unit, and in
favor of the dollar, in every instance. The only advantage it has over
the dollar, is, that it will in every case express our farthing without
a remainder; whereas, though the dollar and its decimals will do this
in many cases, it will not in all. But, even in these, by extending your
notation one figure farther, to wit, to thousands, you approximate a
perfect accuracy within less than the two thousandth part of a dollar;
an atom in money which every one would neglect. Against this single
inconvenience, the other advantages of the dollar are more than
sufficient to preponderate. This Unit will present to the people a new
coin, and whether they endeavor to estimate its value by comparing it
with a Pound, or with a Dollar, the Units they now possess, they will
find the fraction very compound, and of course less accommodated to
their comprehension and habits than the dollar. Indeed the probability
is, that they could never be led to compute in it generally.
The Financier supposes that the 1/100 of a dollar is not sufficiently
small, where the poor are purchasers or vendors. If it is not, ma
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