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317,597;431,032;639,964;361,316;461,315;123,675;316,131;123,456; 123,614;315,131;398,832;563,871;351,615;123,561.

NUMERATION TABLE.

Thousands.
Tridecillions.

Thousands.
Duodecillions.

Thousands.
Undecillions.

Thousands.
Decillions.
Thousands.
Nonillions.
Thousands.

Octillions.
Thousands.

Septillions.
Thousands.

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The following is 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 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 ninety-seven tridecillions four hundred and thirty-one thousand, thirty-two duodecillions; six hundred thirty-nine thousand, eight hundred sixty-four undecillions; three hundred sixty-one thousand, three hundred sixteen decillions; four hundred sixty-one thousand, three hundred fifteen nonillions one hundred twenty-three thousand, six hundred seventy-five octillions; eight hundred sixteen thousand, one hundred thirty-one septillions; one hundred twenty-three thousand, four hundred fifty-six sextillions; one hundred twenty-three thousand, six hundred fourteen quintillions; 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.

Sextillions. Thousands. Quintillions. Thousands. Quadrillions. Thousands. Trillions. Thousands. Billions. Thousands. Millions. Thousands. Units.

s;

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.

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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.

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?

Acres.

378

586

168

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 written under the column of units, and the 2 (tens) are carried to be added with the tens, which are found to amount to 23 tens 2 hundreds and 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 111 thousand 1 hundred. The whole of which is set down. Hence the propriety of the following

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RULE.

Write units under units, tens under tens, &c. 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 old?

years

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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