Excerpt from Bourdon's Arithmetic: Containing a Discussion of the Theory of Numbers; Translated From the French of M. Bourbon, and Adapted, to the Use of the Colleges and Academies of the United States
The first numbers are, one, two, three, four, five, six, seven, eight, nine. These numbers are called Simple units, or, units of the first order. Adding a new unit to the number nine, we form the number ten, which we regard as a new denomination, or, spe cies of unit called a ten, or, a unit of the second order. We count by tens in the same manner as we have counted by smple units. Thus, we say, one ten, two tens, &c., &c. Ten, twenty, thirty, forty, fifty, sixty, 810. Between ten and twenty there are nine other numbers, which in English have the names, eleven, twelve, thirteen, fourteen, fifteen, sixteen, seventeen, eighteen, nine teen; names established by usage, showing by their derivation, the addition of the preceding Simple units successively to the unit of the second order.
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