-18-40 42026 THE principal design in publishing the folIowing sheets, is to instruct youth and others in the nature and management of the Federal Coin. As it is now become the Money of Account in the United States, and as the inhabitants, in general, are but imperfectly acquainted with it, an attempt to render the knowledge of it familiar to common capacities, can scarcely fail of being useful. This small Treatise, therefore, the Author hopes, will contribute a little to extend this knowledge among the lower classes, as the conciseness of the plan renders the price so triffins, that any person may purchase it. All the rules of Arithmetic, necessary for transacting common business, are illustrated in the most plain s and simple manner; and nothing but what was thought > to be really useful, has gained admittance into this Esmall Compendium. Great care has been taken to render the Work accurate and correct: The Author hopes, therefore, to obtain the candor of the public, if any errors shall have escaped his notice. Should this small Treatise answer the design of its publication, the Author will feel himself fully compensated for his trouble. H JAMES NOTES Atkinson, N. H. April.... 1797. 3 00000000 i THE - federal Arithmetic. ARITHMETIC is the art of computing by numbers, and is comprised in five principal rules, viz. Numeration, Addition, Subtraction, Multiple stion, and Division NUMERATION. Numeration teaches to write any number, and to express the value of it, by these ten characters, called figures, or digits, viz. 1 1 2 3 4 5 6 7 8 9 0 one, two, three, fuur, five, six; seven, eight, nine, cypher. The last of these characters is called a cypher, or nought, because, of itself, it signifies noihing; but cyphers, placed at the right hand of other figures, increase their value in the same proportion as if they had been significant frgures. Besides the above noted simple value of figures, they have, each, a local value, as follows: The order of places being reckoned from the right hand towards the left, the figure in the first place, in any combination of figures, represents its own simple value; that in the second place, ten times its simple value; that in the third place, a hundred times its simple yalue ; and so on: the value of the figure in each succeeding place, being ten times the value of the same figure in that immediately preceding it. Therefore, to enumerate any number of figures, besin at the left hand, and to the simple value of each figure, join the name of its place, as units, tens, hundreds, &c. as are expressed in the following table. 1 O Millions. Millions of millions, or Billions. Thousands of millions. Example 1. Suppose the first four figures in this table, viz. 2623, were to be enumerated. The first |