Benjamin Greenleaf, National Arithmetic, 1835
The following excerpt is from the book The National Arithmetic on the Inductive System; Combining the Analytic and Synthetic Methods by Benjamin Greenleaf, published in 1852, with a preface dated 1847 saying that ""The National Arithmetic has now been before the public ror nearly twelve years.
The portion quoted here concerns the "Chuquet" numbernames.
This book was referenced by W. D. Henkle in Names of the Periods in Numeration, 1860.
NUMERATION TABLE
The following is the French method of enumeration, and is in general use in the United States and on the continent of Europe.
In order to enumerate any number of figures by this method, they should be separated by commas into divisions of three figures each, as in the annexed table. Each division will be known by a different name. The first three figures, reckoning from the right to left, will be so many units, tens, and hundreds, and the next three so many thousands, and the next three so many millions, &c.
Vigintillions.
Novemdecillions.
Octodecillions.
Septendecillions.
Sexdecillions.
Quindecillions.
Quatuordecillions.
Tredecillions.
Duodecillions.
Undecillions.
Decillions.
Nonillions.
Octillions.
Septillions.
Sextillions.
Quintillions.
Quadrillions.
Trillions.
Billions.
Millions.
Thousands.
Units.
The value of the numbers in the annexed table, expressed in words, is One hundred twentythree vigintillions, four hundred fiftysix novemdecillions, seven hundred eightynine octodecillions, one hundred twentythree septendecillions, four hundred fiftysix sexdecillions, seven hundred eightynine quindecillions, one hundred twentythree quatuordecillions,four hundred fiftysix tredecillions, seven hundred eightynine duodecillions, one hundred twentythree undecillions, four hundred fiftysix decillions, seven hundred eightynine nonillions, one hundred twentythree octillions, four hundred fiftysix septillions, seven hundred eightynine sextillions, one hundred twentythree quintillions, four hundred fiftysix quadrillions, seven hundred eightynine trillions, one hundred twentythree billions, four hundred fiftysix millions, seven hundred eightynine thousands, one hundred twentythree units.
Thousands.
Tredecillions.
Thousands.
Duodecillions.
Thousands.
Undecillions.
Thousands.
Decillions.
Thousands.
Nonillions.
Thousands.
Octillions.
Thousands.
Septillions.
Thousands.
Sextillions.
Thousands.
Quintillions.
Thousands.
Quadrillions.
Thousands.
Trillions.
Thousands.
Billions.
Thousands.
Millions.
Thousands.
Units.
The followig is in the old English method of enumeration, but it has become almost obsolete in this country. In order to enumerate any number of figures by this method, they should be separated by semicolons into divisions of six figures each, and each division separated in the middle by a comma, as in the annexed table. Each division will be known by a different name. The first three figures, in each division, reckoning from right to left, will be so many units, tens, and hundreds of the name belonging to the division, and the three on the left will be so many thousands of the same name. The value of the numbers in the annexed table, expressed in words, is Three hundred and seventeen thousand, eight hundred and ninetyseven tredecillions; four hundred and thirtyone thousand, thirtytwo duodecillions; six hundred thirtynine thousand, eight hundred sixtyfour undecillions; three hundred sixtyone thousand, three hundred sixteen dccillions; four hundred sixtyone thousand, three hundred fifteen nonillions; one hundred twentythree thousand, six hundred seventyfive octillions; eight hundred sixteen thousand, one hundred thirtyone septillions; one hundred twentythree thousand, four hundred fiftysix sextillions; one hundred twentythree thousand, six hundred fourteen quintillions; three hundred fifteen thousand, one hundred thirtyone quadrillions; three hundred ninetyeight thousand, eight hundred thirtytwo trillions; five hundred sixtythree thousand, eight hundred seventyone billions; three hundred fiftyone thousand, six hundred fifteen millions; one hundred twentythree thousand five hundred sixtyone.
NOTE. — The student must be familiar with the names, from units to tredecillions, and from tredecillions to units, so that he may repeat them with facility either way.
Let the following numbers be written in words: —
, .
706

313,461

604,021

3,607,005

607,081,107

470,803,020

7,801,410,909

322,172,517,101

607,100,001,070

407,000,010,703,801

200,070,007,801,000

670,812,000,170,063,891

478,127,815,016,666,060,707

800,800,800,800,800,800,800,800

127,081,061,071,081,010,009,007,007

407,144,140,070,060,700,007,101,800,808
 '
Let the following numbers be written in figures: * —
1. Twntynine.
2. Four hundred and seven.
3. Twentythree thousand and seven.
4. Five millions and twentyseven.
5. Seven millions, two hundred five thousand and five.
6. Two billions, two hundred seven millions, six hundred four thousand and nine.
7. One hundred five billions, nine hundred nine millions, three hundred eight thousand two hundred and one.
8. Nine quintillions, eight billions and fortysix.
9. Fifteen quintillions, thirty one millions and seventeen.
10. Five hundred seven septillions, two hundred three trillions, fiftyseven millions and eighteen.
11. Nine nonillions, fortyseven trillions, seven billions, two millions, three hundred ninetytwo.
12. Fifteen duodecillions, ten trillions, one hundred twentyseven billions, twentysix millions, three hundred twenty thousand four hundred twentysix.
* To express numbers by figures, begin at the left hand with the highest order mentioned, and, proceeding to units, write in each successive order the figure which denotes the given number in that order. If any of the intervening orders are not mentioned in the given number, supply their places with ciphers.
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