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NUMERATION TABLE.

The following is the old English

method of enumeration, but it has beThousands.

come almost obsolete in this country. Tridecillions.

In order to enumerate any number of Thousands.

figures by this method, they should be Duodecillions. separated by semicolons into divisions Thousands.

of six figures each, and each division Undecillions.

separated in the middle by a comma, as Thousands.

in the annexed table. Each division

will be known by a different name. Decillions.

The first three figures, in each division, Thousands.

reckoning from right to left, will be so i Nonillions.

so many units, tens, and hundreds of Thousands. the name belonging to the division, and Octillions.

the three on the left will be so many

thousands of the same name. The Thousands.

value of the numbers in the annexed Septillions.

table, expressed in words, is Three Thousands. hundred and seventeen thousand, eight Sextillions. hundred and ninety-seven tridecillions ; Thousands.

four hundred and thirty-one thousand, Quintillions.

thirty-two duodecillions ; six hundred Thousands.

thirty-nine thousand, eight hundred six

ty-four undecillions; three hundred sixQuadrillions.

ty-one thousand, three hundred sixteen Thousands.

decillions ; four hundred sixty-one thouTrillions.

sand, three hundred fifteen nonillions; Thousands.

one hundred twenty-three thousand, six Billions.

hundred seventy-five octillions ; eight

hundred sixteen thousand, one hundred Thousands.

thirty-one septillions; one hundred twenMillions.

ty-three thousand, four hundred fifty-six Thousands.

sextillions; one hundred twenty-three Units.

thousand, six hundred fourteen quintil

lions; three hundred fifteen thousand, one hundred thirty-one quadrillions; three hundred ninetyeight thousand, eight hundred thirty-two trillions; five hundred sixty-three thousand, eight hundred seventy-one billions ; three hundred fifty-one thousand, six hundred fifteen millions ; one hundred twenty-three thousand five hundred sixty-one.

Note.- The student must be familiar with the names, from units to tridecillions, and from tridecillions 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. Twenty-nine.
2. Four hundred and seven.
3. Twenty-three thousand and seven.
4. Five millions and twenty-seven.
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 forty-six.
9. Fifteen quintillions, thirty-one millions and seventeen.

10. Five hundred seven septillions, two hundred three trillions, fifty-seven millions and eighteen.

11. Nine nonillions, forty-seven trillions, seven billions, two millions, three hundred ninety-two.

12. Fifteen duodecillions, ten trillions, one hundred twentyseven billions, twenty-six millions, three hundred twenty thousand four hundred twenty-six.

* 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.

Section II.

ADDITION.

Acres.

168

Addition is the collecting of numbers to find their sum.

1. A man has three farms; the first contains 378 acres, the second 586 acres, and the third 168 acres. How many acres are there in the three farms ?

In this question, the units are first added, and OPERATION. their sum is found to be 22; in 22 units there are

two tens and two units. The two units are writ. 378

ten under the column of units, and the 2 (tens) 586

are carried to be added with the tens, which are

found to amount to 23 tens = 2 hundreds and 1132 3 tens. The 3 is written under the column of

tens, and the 2 (hundreds) is carried to the column of the hundreds, which amount to 11 =1 thousand 1 hundred. The whole of which is set down. Hence the propriety of the following

RULE. Write units under units, tens under tens, fc. Then begin at the bottom and add the units upwards, and, if the amount be less than ten set it down under the column of units; but if the amount be ten or more write down the unit figure, and add the figure denoting the number of tens to the column of tens. Thus proceed, till every column of figures is added, writing down on the left the sum total of the left.. hand column, and the result will be the sum of the whole as required.

PROOF. Begin at the top and add all the columns downwards, in the same manner as they were before added upwards ; then, if the two sums agree, the work may be presumed to be correct.

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45. Add the following numbers, 763, 4663, 37, 49763, 6178, and 671.

Ans. 62075. 46. A butcher sold to A 369 lbs. of beef, to B 169 lbs., to C 861 lbs., to D 901 lbs., to E 71 lbs., and to F 8716 lbs.; what did they all receive ?

Ans. 11087 lbs. 47. A owes to one creditor 596 dollars, to another 3961, to another 581, to another 6116, to another 469, to another 506, to another 69381, and to another 1261. What does he owe them all ?

Ans. $ 82871. 48. If a boy earn 17 cents a day, how much will he earn in 7 days?

Ans. 119 cts. 49. If a man's wages be 19 dollars per month, what are they per year ?

Ans. $ 228. 50. If a boy receive a present every New Year's day of 1783 dollars, how much money will he possess, when he is 21 years old ?

Ans. $ 37443. 51. How many inhabitants were there in Essex county, Mass., in 1840, Haverhill having 4336, Amesbury 2471, Andover 5207, Beverly 4689, Bradford 2222, Boxford 942, Danvers 5020, Essex 1450, Georgetown 1540, Gloucester 6350, Hamilton 818,

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