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$ 36,

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 $ 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 did he then owe? OPERATION.

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 $026,255 ; 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 halt 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. $58,371. 5. From two dollars take twenty cents. A. $1,80. 6. From 5 dollars take one mill.

A. $4,999. 7. From one dime take one cent.

A. $0,09. 8. How much must you add to three dollars twelve and a half cents, to make four dollars? A. $,87).

I. Subtract 37 cents from 50 dollars. A. $49,621;

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

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

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1 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 45 pences ?

4. At 4 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 yde.? ' 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?' 12? 15?

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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 and
mills ?
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

D

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 7-8325. 53 pair cost ?-11925. 75 pair cost ?-16875. A.

X A twis 2.1

ve the

3.1 cost?

What

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$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. Hove much will the travelling expenses for 2 years 7-354050. For 3 years ?531075. For 5 years 7-885125. For 6

years ?-1062150. A $2832,40. 9. For 7 years ?-1239175. For 9 years ?-1593225. For 10 years ?-1779250. A. $4602,65.

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. 1. $975. 12. What will 25 hogsheads come to :-81250. What will 35 hogsheads ?-113750. 150 hogsheads ?-487500. A. $6825.

13. If Tdo of a bank be worth $365,155, what is too worth? A. $730,31. 14. What is Tốt worth ?-1095465. Ibo worth ?1825775. Tot worth ?-2190930, A. $5112,17. 15. What is Too worth ?-2921240. Ito worth ?-4381860. Tot worth ?5477325. A. $12780,425. 16. What is the worth ?-5842480. too worth ?-7303100. Tot worth ?-9128875. A. $22274,455. 17. What is 30 worth ?-19954650. Mot worth ?-12780125. Mon worth ?-14606200. A. $38341,275. 18. What is to be worth ?-16431975. Bo worth ?-18257750. Mos worth ?20083525. A. $54773,25. 19. What is nog worth P-21909300. Boso worth ?-23735075. worth ?-24465385. A. $70109,76. 20. What is 15o worth ?-27386625. 10 worth ?-28847245. to worth ?-32863950. 188 worth ?-36515500. A. $125613,32.

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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 y cwt. cost? 11 cwt.? 15 cwt. ? 1 cwt., or 4

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qrs.? 2 qrs. ? 1 gr., or 28 pounds ? 14 pounds ? 7 pounds!
34 pounds?
1. If 12 yards of cloth cost $175,50, what will 1 yard cost?
OPERATION.

Q. How do you 12 ) 175,50,0

perform this exam $. cts. m.

ple? Ans. 14 62 5 mills = 14, 62, 5.

A. I divide as in

whole numbers, Q. Where do the 5 mills come from?

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

RULE.
Q. How do you divide ?
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. $280,012.

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

4. If á vessel and cargo are valued at $20000, what is 27 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. $128,165+; 6. If a man's salary be $3650,40 a year, what is that a day? A. 10 dollars, 1 mill+.

7. Bought 36 lb. of sugar for $10,50 ; what is that a pound ? A. $,291 = 29 cents, 1 millt:

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. $7,026+.

10. Divide $1000,60 equally among 2 men.-50030. Among 3 men.-333533. Among 4 men.-25015.

Among 6.-166766. Among 8.-125075. A. $1375,824+. 11. Among 10.-10006. Among 15.–66706. Among 18.-55588.

Among 25.-40024. A. $202,378+. 12. Among 28.-35735.

Among 35.-28588 Among 40.-25015. Among 45.-22235.

Among 60.-16676.

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A. $128,249+: 13. Among 70.-14294. Among 85.-11771. Among 95.–10532 Among 100-10006. Among 150.-667. A. $53273+. 14. Among 200.-5003. Among 240.-4169. Among 360.-2779.

Among 400.-2501. Among 550.-1819. A. $16,271+: 15. Among 17.-58858. Among 19.-52663. Among 89-11242.

Among 98.-1021. Among 199.-5028. A. 138 dollars, 1 millt:

(XXVI. TO MULTIPLY BY }, }, }, 51, &c. 1. How much is } of 10? of 18? 1 of 16? ; of 20 ?

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

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

Q. How much is 3 of 20 ? of 20 ? of 122 of 12 ? 4 of 12 ?

Q. In these examples, we divide by 5 to get š of 20: then it is plain, that is 2 times as much as }, that is, we multiply } of 20, which is 4, by-, making 8: but we might multiply 20 by the 2"first, and divide by the 5 afterwards; thus, 2 x 20= 40 - 5, 8 times, the same result as before : how, then, does it appear that we can proceed to multiply by 3, 7, 15, &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 ? OPERATION. 28 7) 28

28 25

5 4 = of 28. 56 5

7) 140 20

20
☆ of 28.

20 $,76 Ans. Q. How do you multiply by the 2, in 24 ? Å As usual.

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