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RULE.

Having placed units under units, tens under tens, &c. draw a line underneath, and begin with the units ; after adding up every figure in that column, consider how many tens are contained in their sum ; set down the remainder under the units, and carry so many as you have tens, to the next column of tens; proceed in the same manner through every column, or row, and set down the whole amount of the last row.

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PTo prove Addition, begir. at the top of the sum, and reckon the figures downwards in the same manner as they were added upwards, and if it be right, this surr, total wil be equal to the first: Or cut off the upper line of figures, and find the amount of therest; then if the amount and upper line, whew added, be equal to the total the work is supposed to be right.

EXAMPLE.

Excess of 9's.
II YON

2. There is another method of proof, as follows :

Reject or cast out the nines in each row or sum of figures, and set down the 3 7 8 2 remainders, each directly even with the 57 6 6 figures in its row; find the sum of these 87 5 5 remainders; then if the excess of nines in the sum found as befure, is equal to the 18 3 0 3 excess of nines in the sum total, the work is supposed to be right.

15 Add 8635, 2194, 7421, 5063, 2196, and 1245 together.

Ans. 26754, 16. Find the sum of 3482, 783645, 318, 7530, and 9678045.

Ans. 10473020. 17. Find the sum total of 604, 4680, 98, 64, and 54.

Ans. Fifty-five hundred. 18. Wliat is the sum total of 24674, 16742, S4678, 10467, and 13439 ? Ans. One hundred thousand. 19. Add 1021, 3489, 28763, 289, and 6438 together.

Ans. Forty thousand. 20. What is the sum total of the following numbers, viz. 2340, 1066, 3700, and 4005 ?

Ans. 11111. 21. What is the sun total of the following numbers, viz.

Nine hundred and forty-seven,
Seven thousand six hundred and five,
Forty-five thousand six hundred,
Three hunılred and eleven thousand,

Fifty-two millions, and nine thousand ? [ 1994/19

Answer, 61374177

22. Required the sum of the following numbers, viza

Five hundred and sixty-eight,
Fight thousand eight hundred and five,
Seventy-nine thousand six hundred,
Nine hundred and eleven thousand,
Nine millions and twenty-six.

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Answer, 9999999

QUESTIONS. 1. What number of dollars are in six bags, containing each 37542 dollars ?

Ans. 225252. 2. If one quarter of a ship's cargo be worth eleven thousand and ninety-nine dollars, how many dollars is the whole cargo worth?

Ans. 44396 dols. 3. Money was first made of gold and silver at Aryos, eight hundred and ninety-four years before Christ; how long has money been in use at this date, 1814?

Ans. 2708 years. 4. The distance from Portland in the Province of Muine, to Boston, is 124 miles ; from Boston to NewHaven, 162 miles ; from thence to New-York, from thence to Philadelphia, 95; from thence to Baltiinore, 102; from thence to Charleston, South-Carolina, 716; and from thence to Savannah, 119 miles-What is the whole distance from Portland to Savannah ?

Ans. 1407 milės. 5. John, Thomas, and Harry, after counting their prize money, John had one thousand three hundred and seventy-five dollars ; Thomas had just three times as many as John ; and Harry had just as many as John and Thomas both—Pray how many dollars had Harry?

Ans. 5500 dollars.

88;

FEDERAL MONEY.

WM999 NEXT in point of smplicity, and the nearest allied to whole numbers, is the coin of the United States, or

FEDERAL MONEY.
This is the most simple and easy of all money-itin.
creases in a tenfold proportion, like whole numbers.

10 mills, (m.) make 1 cent, marked c.
10 cents,

1 dime,

d. 10 dimes,

1 dollar, $. 10 dollars,

1 Eagle, Dollar is the money unit; all other denominations be. ing valued according to their place from the dollar's place. A point or comma, called a separatrix, may be placed after the dollars to separate them from the inferior

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denominations; ther the first figure at the right of this separatrix is dimes, the second figure cents, and the third mil.s. *

ADDITION OF FEDERAL MONEY.

RULE. 1. Place the numbers according to their value; that is, dollars under dollars, dimes under dimes, cents unter cents, &c. and proceed exactly as in whole numbers ; then place the separatrix in the sum total, directly under the separating points above.

EXAMPLES. $. d. c.in. $. d. com.

d.c.m. 365, 541 489, 304 136, 5 1.4 487, 060

416, 390 125, 090 94, 670 168, 9 3 4

200, 90.9 439, 08.9 239, 060

304, 00 6 742, 500 143, 005

111, 191

2128, 860

2. When accounts are kept in dollars and cents, and no other denominations are mentioned, which is the usual mode in common reckoning, then the two first figures at the right of the separatrix or point, may be called so many cents instead of dimes and cents ; for the place of dimės is only the ten's place in cents; because ten cents make a dime; for example, 48, 75, forty-eight dollars, seven dimes five cents, may be read forty-eight dollars and seventy-five cents.

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* It may be observed that all the figures at the left hand of the separatrix are dollars ; or you niay call the first sigure dollars, and the sther eagles, &c. Thus any sum of this money may be read differently, either wholly in the lowest denomination, or partly in the higher, and partly in the lowest ; for example, 87 54, may be either read 3764 cents, or 375 dimes and 4 cents, or 87 dollars & dimeg and 4 centy, or S pagles, 7 dollars 5 dimes and 4 cents.

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