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A. By a comma, or separatrix, at the right of dollars.

Q. What are the figures on the left of dollars ?
A. Eagles.
Q. What is the first figure on the right of dollars ?
A. Dimes.
Q. What is the second figure ?
A. Cents.
Q. What is the third figure ?
A. Mills.
Q. How many of these coins are real ?
A. Four.
Q. Name them.

A. The eagle, the dollar, the dime, and the cent.

Q. Wbich is a gold coin?
A. The eagle.
Q. Which are the silver coins?
A. The dollar and the dime.
Q. Which is a copper coin ?
A. The cent.
Q. Which is imaginary?

A. The mill, as there is no piece of money of that denomination.*

Q. What are all the denominations of Federal Money?
A. Mills, cents, dimes, dollars, and eagles.

Q. How inany of these denominations are used in accounts, and vhat are they?

A. Three ; dollars, cents and mills.
Q. What are dollars and eagles called in accounts ?
A. Dollars.
Q. What are dimes and cents called ?
A. Cents.
Note.--The names of coins less than a dollar express their value. Mill is
contracted from Mille, the Latin for thousand; Cent from Centum, the Latin
for hundred ; and Dimo from Disme, the French for tenth.

Q. What does this character, S, placed before numbers, denote?
A. Federal Money.

Q. As 10 mills make 1 cent, 10 cents 1 dime, &c., increasing from right to left like whole numbers, it follows that any question in Federal

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* There are, however, half eagles, and half dimes, real coins.

28, 200

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Money may be performed as in whole numbers; also that dollars, cents, and mills, inay be called either all mills, or all cents and mills; thus,

collars, 25 cents. and 5 mills, may be read, 4255 mills, or 425 cents and 5 mill3 ; but, in order for this, it will sometimes de necessary to write ciphers between the different denominations; when, then, the cents are less than 10, where must a cipher be placed in writing cents with dollars?,

A. Between the cents and dollars.
Q. Why is this?

A. Because, as 100 cents make 1 dollar, cents, of course, occupy two places; hence, when the cents are less than 10, they must occupy the units' place of cents, and a cipher the tens' place of cents.

Q. In writing down mills with dollars, when there are no cents, how

many ciphers must you place between them and dollars ?
4. Two.
Q. Why?

A. Because, as there are two places for cents, when there are no cents, these places must be filled with ciphers.

Q. How are 2 dollars and 5 mills written down, then ?
A. $ 2,005.
Q. How are 3 dollars and 2 cents written down, then ?
A. $ 3,02.
Q. How are 7 dollars and 8 mills written down ?
A. $ 7,008.
Q. How are 9 dollars and 1 cent written down ?
A. $ 9,01.
Q. How are 1 dollar, 1 cent, and I miil written down ?'
A. $ 1,011.
Q. How are 20 dollars and 50 cents written down?
A. $ 20,50.

REDUCTION OF FEDERAL MONEY.

1 XXII. Q. What would you call the changing of numbers from one name, or denomination, to another, retaining the same value; as, 200 cents into 2 dollars ?

A. Reduction.

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RULE.
Q. How many mills in 1 cent ? In 8 cents? In 9 cents ?
Q. What, then, do you multiply by, to bring cents into mills ?

A. Multiply by 10 mills, that is, annex one cipher. (See I XII.)

Q. How many cents in 20 mills ? In 60 mills ? In 80 mills ? • Q. What, then, would you divide by, to bring mills into cents ?

A. By 10 mills; that is, cut off the right-hand figure. Q. How many cents in 1 dollar ? In 2 dollars ? In 8 dollars ?

Q. How many ciphers, then, do you annex to dollars, to bring them into cents ?

Q. How many dollars in 200 cents? In 800 cents ?

Q. How many figures, then, would you cut off, to bring cents into dollars ?

Q. As annexing two ciphers to dollars brings them into cents, and one to cents brings cents into mills, how many ciphers, then, would you annex to dollars in all, to bring them into mills ?

A. Three.
Q. How many mills, then, in 2 dollars? In 8 dollars ?

Q. How many figures would you cut off, to bring mills back into dollars ?

A. Three.
Q. How many dollars in 2000 mills ? In 5000 mills ?

Exercises for the Slate.
1. Reduce $ 2, 1 c. 1 m. to mills. A. 2011 mills.
2. Reduce $ 3,75 c. to mills. A. 3750 mills.
3. Reduce $ 20, 6 c. to mills. A. 20060 mills.

A. 25821 mills. 4. Reduce $ 8, 25 c. 8 m. to mills. 5. Reduce $ 4, 28 c. 1 m. to mills. 6. Reduce $ 480, 6 c. to mills. 7. Reduce $ 48

to mills. A. 540599 mills. 8. Reduce 7680 mills to dollars. 9. Reduce 1865 mills to dollars. 10. Reduce 172 cents to dollars. 11. Reduce 1189 cents to dollars. A. $23, 15 c. 5 m 12. Reduce $ 260

to cents. 13. Reduce $ 130

to cents. 14. Reduce $ 2, 45 c. to cents. 15. Reduce $ 24,06 c. to cents. A. 41651 cents. 16. Reduce 1265) cts. to dollars. 17. Reduce 137} cts. to dollars. 18. Reduce 1212 cts. to dollars. 19. Reduce 12000 cts. to dollars. A. $ 146, 15 c. 5 m.

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ADDITION OF FEDERAL MONEY.

#XXIII. 1. What will 20 pencils come to, at 5 cents for 10, and 10 dimes for 10?

2. What is the sum of 50 cents and 5 dimes?

3. What is the sum of 6 cents, 12 cents, 20 cents, and 2 dimes ?

4. If you give 25 cents for a top, 25 cents for a knife, and 1 dime for a slate, how much do they all come to ?

Q. What is this, which you have now been doing, called ? A. Addition of Federal Money. 1. A man bought a wagon for $32,50, a harness for $15,20, and a whip for $1, 8c.; what did the whole cost ?

Q. How do you perform this
OPERATION.

opera-
tion ?
cts. A. I place dollars under dollars,
32,50

cents under cents, adding as in Sim15,20

ple Addition.

Q. Why is there a cipher placed 1,08 between the $1 and 8 cents ?

A. Because the cents are less than Ans. $ 48,78 10.

From the preceding remarks we derive the following

RULE. Q. How do you write down cents, dollars, &c.? A. Cents under cents, dollars under dollars, &c. Q. How do you add ? A. As in Simple Addition. Q. Where is the separatrix to be placed ? . A. Directly under the separating points above.

More Exercises for the Slate. 2. What is the amount of 3 dollars 2 cents, 2 dollars 5 cents, 7 dollars 8 cents, 9 dollars 1 cent, 1 dollar 1 cent 1 mill, and 20 dollars 50 cents ? A. $42,671.

3. Bought a chaise for $126,18, a watch for $280,25, a coach for $850,62, a hat for $6,50, and a whip for $2,98; how much did all these articles come to? A. $1266,53.

4. Bought a cap for $7,50, a coat for $12,18, a pair of silk

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stockings for $1,62, and a cane for $2,87; what was the cost of the whole ? A. $24,17.

5. If I give ten dollars one cent for a cart, fifty dollars for a yoke of cattle, seven dollars twenty cents for a plough, sixtyfive dollars for a horse, thirty-seven dollars fifty cents for some hay, how much will all these come to? A. $169,71.

6. If } of an orange be worth 2 cents, how much iš į worth? How much is a whole orange worth?

7. If } of a vessel be worth $25000,50, what is the whole vest sel worth ? A. $75001,50.

8. If $ of a vessel be worth $3700,12, what is a whole vesset worth? A. $14800,48.

9. If į of a vessel be worth $10000,50, what is worth? ??? and what part is ? A. =$20001, =30001,50,

$40002, = $59002,50, or the whole ? * The learner will perceive, that the figures, hereafter annexed to each separate question, show the correct answer, when the proper value is assigned them, which he must of course do, before he can obtain the total amount which follows. This will furnish a proper exercise for the judgment of the pupil, unattended by any discouragement arising from a long and tedious process.

X For the convenience of the teacher, there is inserted in the Key a full and complete answer to each separate process above alluded to.

10. If It of the stock in a bank be worth $2356,56, what is fe worth ?-471312. is worth ?-942624. A. $14139,36.

11. Bought a quart of brandy for 62 cents, a quarter of flour for 1 dollar 37} cents, a pound of sugar for 12 cents, 2 yards of cotton c!nth for 75 cents, 1 vest pattern for 872 cents, 1 dozen of buttons for 8 cents, and 2 cotton balls for 6 cents; how much did the whole amount to? A. $3,89.

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SUBTRACTION OF FEDERAL MONEY

I XXIV. 1. If you buy a top for 20 cents, 12 marbles for 20 cents, 6 oranges for 10 cents, and sell them for 5 dimes, shall you make or lose by trading?

2. Your father gave you 15 mills, 4 mills, 1 mill, 2 dimes, 28 cents; and said, that if you would tell him how much

nore it would take to make a dollar, he would give you as much more; how much did it take?

3. You bought a yard of ribbon for 24 cents, gave : to your sister, and sold the rest at 10 cents for a quarter of a yard; did you make or lose ? and how inuch?

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