Elementary arithmetic, with brief notices of its history... by Robert Potts.

3 local value is simply this:-One figure being placed on the left of another, the place of the former is ten times as great as the place of the latter. Hence it follows that the first figure on the right being the place of units, a figure in the second place on the left of it is ten times its value in the first place, in the third place it is ten times that in the second place, in the fourth place it is ten times that in the third place, in the fifth place it is ten times that in the fourth place, and similarly for the succeeding places; so that a figure in the first, second, third, fourth, fifth, &c.) places, denotes respectively units, tens of units, hundreds of units, thousands of units, tens of thousands ot units, &c. They are designated numbers of the first, second, third, fourth, fifth, &c., orders respectively. Besides the nine significant characters, there is a tenth character, 0, named cipher, nought, or zero, which by itself has no numerical value, and denotes the absence of number in any place it may occupy in the notation of numbers. By means of these nine characters and the cipher, any number, however large, can be distributed into sets of units, tens, hundreds, &c., each set not exceeding nine, and can be exactly denoted by the assumed characters in their proper places. The next number to nine, is nine and one (for which no single character is assumed), named ten, and is denoted by 10. And two tens, three tens, four tens, five tens, six tens, seven tens, eight tens, nine tens, are respectively denoted by 20, 30, 40, 50, 60, 70, 80, 90, and named twenty, thirty, forty, fifty, sixty, seventy, eighty, ninety. The natural numbers after 10, which increase by units, namely, ten and one, ten and two, ten and three, ten and four, ten and five, ten and six, ten and seven, ten and eight, ten and nine, are denoted by replacing 0 in 10 by 1, 2, 3, 4, 5, 6, 7, 8, 9, successively, and they become 11, 12, 13, 14, 15, 16, 17, 18, 19, respectively, and are named eleven, twelve, thirteen, fourteen, fifteen, sixteen, seventeen, eighteen, nineteen. And in the same manner the rest of the numbers of the second order are denoted, as 21, 22, 23, 24, 25, 26, 27, 28, 29; and so until the last, ninety and nine, or 99. The next number, ninety and ten, is named one hundred, and is denoted by 100; and two hundreds, three hundreds, four hundreds, five hundreds, six hundreds, seven hundreds, eight hundreds, nine hundreds, are respectively denoted by 200, 300, 400, 500, 600, 700, 800, 900. The number nine hundreds and one hundred is named one thousand, and is denoted by 1000. And in a similar manner two, three, foul, five, six, seven, eight, nine thousands, respectively, are denoted by 2000, 3000, 4000, 5000, 6000, 7000, 8000, 9000. And proceeding in the same manner, the successive numbers of the higher orders in the scale of notation are named and denoted. Thus:

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Title
Elementary arithmetic, with brief notices of its history... by Robert Potts.
Author
Potts, Robert, 1805-1885.
Canvas
Page 4
Publication
London,: Relfe bros.,
1876.
Subject terms
Arithmetic

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"Elementary arithmetic, with brief notices of its history... by Robert Potts." In the digital collection University of Michigan Historical Math Collection. https://name.umdl.umich.edu/abu7012.0001.001. University of Michigan Library Digital Collections. Accessed June 7, 2025.
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