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4. If 3 dollars buy one yard of cloth, what is of a yard worth?

5. A, B, and C, buy a chaise for 90 dollars; A pays i of it how many dollars do B and C pay?

RULE.

Q. How do you write the numbers down?
A. As in Addition of Federal Money.
Q. How do you subtract?

A. As in Simple Subtraction.

Q. How do you place the separatrix ?

A. As in Addition of Federal Money.

Exercises for the Slate.

1. A man owed $36,465, and paid $27,696; how much die be then owe?

OPERATION.

$36,465
$27,696

8,769, A.—8 dollars 76 cents 9 mills.

2. You borrow $536,15, and pay $236,18; how much remains unpaid? A. $299,97.

3. A merchant bought a quantity of coffee for $526,50, which he afterwards sold for $626,255; how much did he make by the sale? A. $99,755.

4. My travelling expenses on a journey were as follows," viz; stage fare, eighteen dollars; board, nine dollars fifty cents; carrying trunk at different times, seventy-five cents; private Conveyance at one time, six dollars thirty-seven and a half cents, and at another, seven dollars; how much had I left, on my return home, of two 50 dollar bills, which I took with me? A. $58,37).

5. From two dollars take twenty cents. 6. From 5 dollars take one mill.

A. $1,80.
A. $4,999.
A. $0,09.

7. From one dime take one cent. 8. How much must you add to three dollars twelve and a alf cents, to make four dollars? A. $,87). 9. Subtract 37 cents from 50 dollars.

A. $49,62).

10. From 4 dollars take 3 dollars 99 cents and 9 mills. 1. $0,001.

11. Suppose I owe the following sums; to Y, $60, 1 cent; G, $356, 7 cents; to P, $23,50; to D, $700; and my whole clock is worth no more than $1000, am in debt more than I Am worth? and how much? A. $139,58 more than I am worth.

G

MULTIPLICATION OF FEDERAL MONEY.

¶ XXV. 1. What will 20 yards of cloth come to, at $2 per yard? At $4? At $6? At $10?

2. What will 10 yards of tape come to in cents, at 3 mills a yard? At 8 mills? At 2 cents? At 9 cents? At 15 cents? At 12 cents?

3 How many 9 pences are there in a dollar? How many 4 pences?

4. At 44 pence a yard, what will 2 yards of ribbon come to in cents? What will 3 yards? 4 yds.? 8 yds.? 12 yds.? 16 yds.? 20 yds.? 24 yds.? 32 yds.?" 48 yds." 56 yds.? 64 yds.?

5. What will 2 oranges come to in cents, at 2 dimes per orange? What will 3? 5? 6? 7? 9? 122 15?

A

Q. What is this, which you have now been doing, called?
A. Multiplication of Federal Money.

RULE.

Q. How is the multiplicand to be written down?
A. As in Addition of Federal Money."

Q. How do you multiply?

A. As in the simple rules.

Q. How many places do you retain in the product for cents walls?

A. As many as are in the multiplicand.

Exercises for the Slate

1. At 25 dollars 6 cents 5 mills a month, what will 6 months labor cost?

OPERATION.

$25,065

6

Ans. $150,390 = 150 dollars 39 cents.

2. If one pair of shoes cost $2,25, what will 2 pair cost?-450. 3 pair cost?-675. 4 pair cost?-900. 5 pair cost?-1125. 7 pair?-1575. 9 pair ?-2025. A. $67,50. 3. What will 12 pair cost?-2700. 15 pair cost?-3375. 18 pair?-4050. 23 pair?5175. A. $153. 4. What will 26 pair cost?-5850. 37 pair cost?-8325. 53 pair cost?-11925. 75 pair cost?-16875.

$429,75. 5. What will 85 pair cost?-19125. 150 pair cost?33750. 183 pair cost?-41175. 165 pair cost?-37125. A. $1311,75. 6. What will 250 pair cost?-56250. 800 pair cost?180000. A. $2362,50.

7. If your travelling expenses for one day are 48 c. 5 mills, how much will the travelling expenses for one year, or 365 days, amount to at that rate? A. $177,025. 8. How much will the travelling expenses for 2 years?-354050. For 3 years?531075. For 5 years 7-885125. For 6 years?-1062150. $2832,40. 9. For 7 years?-1239175. For 9 years?-1593225. For 10 years?-1770250. A. $4602,65.

A

10. What will 2 hogsheads of wine come to, at $32,50 for one hogshead? A. $65. 11. What will 3 hogsheads come to?9750. What will 12?-39000. What will 15-48750. A. $975. 12. What will 25 hogsheads come to?-81250. What will 35 hogsheads?-113750. 150 hogsheads ?-487500. A. $6825.

13. If of a bank be worth $365,155, what is worth? A. $730,31. 14. What is worth?-1095465. TỔʊ worth?1825775. To worth?-2190930. A. $5112,17. 15. What is To worth?-2921240. worth?-4381860. worth?5477325. A. $12780,425. 16. What is worth ?-5842480. worth ?-7303100. worth ?-9128875. A. $22274,455. worth ?-12780425. worth ?-14606200. A. $38341,275. 18. What is

20

17. What is worth ?-10954650.

50

worth ?-16431975. To worth?-18257750. 100 worth ?20083525. A. $54773,25. 19. What is worth?-21909300. worth?-23735075. worth?-24465385. A. $70109,76. 20. What is worth?-27386625. worth?-28847245. worth?-32363950. 188 worth-36515500. A. $125613,32

DIVISION OF FEDERAL MONEY.

1 XXVI. 1. You give 12 cents and 5 mills for 2 sticks of twist; how much is that for one stick?

2. If you give 2 dimes and 5 cents for 2 slates, how much are the slates apiece?

3. If 28 pounds of tea cost 28 dollars, what will 1 pound cost? What will 8 pounds? 5 pounds? 22 pounds?

4. If 20 cwt. of hay cost $40, what will 1 cwt. cost? What will 7 cwt. cost? 11 cwt.? 15 cwt.? 1 cwt., or 4

qrs? 2 qrs.? 1 qr., or 28,pounds? 14 pounds? 7 pounds? 34 pounds?

1. If 12 yards of cloth cost $175,50, what will 1 yard cost?

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Q. Where do the 5 mills come from?

A. I divide as in whole numbers.

A. In dividing the cents, there is a remainder, which, by annexing a cipher, makes 60 mills, in which 12 is contained 5 times, that is, 5 mills.

From this example we derive the following

Q. How do you divide?

RULE.

A. As in Simple Division.
Q. What will the quotient be?

A. The answer, in the lowest denomination of the dividend, which may then be brought into dollars.

More Exercises for the Slate.

2. If you divide $35001,50 equally among 125 sailors, how many dollars will each have? A. $580,012.

3. If a bank be worth $30515,50, what is Too of it worth? A $305,155.

4. If a vessel and cargo are valued at $20000, what is worth? A. $714,285+

5. 16 men draw $2050,65 in a lottery; how much is each man's part, if it be equally divided among them? A. $128,1654. 6. If a man's salary be $3650,40 a year, what is that a day? 9. 10 dollars, 1 mill+.

7. Bought 36 lb. of sugar for $10,50; what is that a pound? A. $,29120 cents, 1 mill+.

8. If you buy 383 yards of broadcloth for $5036,50, what is that a yard? A. $13,15+.

9. If a man's wages be $365,40 a year, or 52 weeks, what is that a week? A. $7,0264

10. Divide $1000,60 equally among 2 men.-50030. Among 3 men.-333533. Among 4 men.-25015. Among 8.-125075. 4. $1375,994+. Among 15.-66706. Among 18-55588. A. $262.378+. 12. Among 28.-35735. Among 40.-25015. Among 45.-22235.

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Q. To multiply 4 by 2, we take 4, 2 times; to multiply by 1, we take 4, 1 time; and to multiply 4 by, we take 4, a time, that is, the half of 4, and to get this, it is plain that we must divide 4 by 2. From these remarks what appears to be the rule for multiplying by,, &c. 1

A. Divide the multiplicand by the figure below the line.

of 201 of 121 of 12

Q. How much is of 20 of 12 ↑ Q. In these examples, we divide by 5 to get of 20: then it is plain, that is 2 times as much as, that is, we multiply of 20, which is 4, by 2, making 8: but we might multiply 20 by the 2 first, and divide by the 5 afterwards; thus, 2 × 20405, 8 times, the same result as before: how, then, does it appear that we can proceed to multiply by ff, A. &c.!

A. Divide the multiplicand by the figure below the line, and multiply this quotient by the figure above the line; or multiply first, and then divide

Exercises for the Slate.

1. What will 24 yards of cloth cost, at 28 cents a yard?

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Q. How do you multiply by the 2, in M♪~
As usual.

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