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3. At 1 s. 6 d. a bushel, how many shillings will 2 bushels
of apples cost? Will 4 bu.? Will 6 bu. ? Will 8 bu.?

4. Multiply 2 s. 6 d. by 2.
5. Multiply 2 pwts. 12 grs. by 2.
6. Multiply 2 bu. 4 qts. by 3.
7. Multiply 3 gals. 2 qts. by 2.
8. Multiply 20 m. 20 sec. by 3.

9. How many pence in 2 times 2 farthings? 4 X 2 far-
things, or 2 qrs.? 4 X 3 qrs.? How many shillings in 2
times 6 d.? 2 X 12 d.? 4 x 6 d.? 5 X 12 d.? 8X3 d.?
4x7d.? 3 X 5 d.? 8 X 12 d. ?

10. How many pounds in 4 times 10 s.? 3 X 10 s. ? 4 X 6s.?

S.

12

20
s.

qrs. are 15

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Operation by Slate illustrated.
1. A merchant bought 5 yards of cloth for 2£ 6 s. 1 d. 3 qrs.
per yard; what did the whole cost?
OPERATION.

Q. How do you get the 3 qrs.

in the answer ?
4
d.
qrs.
A. 5 times

qrs.
2 6 1 3 =3 d. 3 qrs., writing down the

5

3 qrs. and carrying 3 d. as in

Compound Addition,
Ans. £ 11 10 8 3

Q. How do you get the 8 d.?

A. 5 times id. are 5 d., and

3d. (to carry) makes 8 d.
Q. How do you get the 10 s. ?
A. 5 times 6 s. are 30 s.=l£ 10 s., writing down the 10 s. and
carrying the 1£.

Q. How do you get the 11£?
A. 5 times 2£ are 10£, and 1£ (to carry) makes 11£.
From these illustrations we derive the following

RULE.
Q. With which denomination do you begin to multiply?
A. With the lowest.
Q: How do you multiply that, and each denomination ?
A. Separately, as in Simple Multiplication.
Q. How do you divide each product, and carry ?
A. As in Compound Addition.
PROOF. Q. What is the proof?
4. As in Simple Multiplication.

9*

More Exercises for the Slate. 2. At 5 s. 6 d. a gallon, what will 2 gals. of rum cost? A. 11 8.

3. At 2 s. 6 d. 1 gr. a quart, what will 2 gts. of brandy cost ?5-0-2. What will 3 qts.?-7-6-3. What will 4 qts.:-10-1. What will 5 qts.?-12-7-1. What will 6 qts. ?-15-1-2." A. 2£ 10 s. 5 d

4. How much wine in 7 bottles, each containing 2 qts. 1 pt. 2 gills ?-4-3-0-2. How much in 8 bottles ?-5-2. In 9?-6-0-1-2 In 10?–6-3-1. In 11 ?-7-2-0-2. A. 30 gals. 3 qts. 1 pt. 2 gills.

5. What is the weight of 3 doz. silver spoons, each doz. weigh, ing 2 lbs. 6 oz. 12 pwts 3 grs. ?-7-7-16-9. What will 4 doz. weigh? -10-2-8-12. What will 5 doz. ?-12-9-0-15. What will 6 doz. ?15-3-12-18. A. 45. Ibs. 10 oz. 18 pwts. 6 grs.

6. Bought 4 loads of hay, each load weighing 1 T. 10cwt. 2 qrs. 20 lbs. 5 oz. 15 drs.; what was the weight of the whole ?6-2-2-25-7-12. What would be the weight of 5 loads ?-7-13-1. 17-13-11. Of11 loads ?-16-17-2-0-1-5. Of 12 loads ?-18-8-0-20-7-4. A. 49 T. 1 cwt. 3 qrs. 7 lbs. 14 oz.

7. At the rate of 36 lea. 2 m. 3 fur. a day, how far will a vessel sail in 6 days ?-220-2-2. In 15 days ?-531-2-5. In 10 days ?367-2-6. In 9 days:-331-0-3. A. 1471 lea. 2 m.

8. In 8 bales of cloth, each bale containing 12 pieces, each piece 27 yds. 1 qr. 2 na., how many yards ? A. 2628 yds.

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COMPOUND DIVISION.

ma

1 s.

I XXXIII. 1. William had 2 qts. 1 pt. of walnuts, which he wished to divide equally among his two little brothers; how many must he give each?

2. James bought 2 books for 2 s. 6 d.; how much did he pay apiece? 3. If

you pay G d. for 2 inkstands, how many shillings would that be apiece?

4. A man bought 4 lambs for 6 shillings; how many pence did he pay apiece?

5. William has 3 pks. 4 qts. of walnuts, which he wishes to put into 4 little baskets, each of which will hold 7 qts.; will his baskets hold all his walnuts, or not? and inform me how you do it.

6. 3 men have 4 gals. 2 qts, of cider allowed them every day; how much is that apiece ?

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7. How many pence is } of 1 s. ? of 2 s.? 3 of 3 s..? of 1 s. 6 d. ? of 1 s. 3 d.? 1 of 1 s. 6 d.? 4 of 2 s. 6 d.? of 1 d.? o of 1 d. 2 qrs.?

many

Q. What is this, which you have now been doing, called ?
A. Compound Division.
Q. Wherein does it differ from Simple ?

A. Simple consists of only one denomination;
Compound, of more than one.

Q. What, then, is the process called, by which we find how times one number is contained in another of different denominations ? A. Compound Division.

Operation by Slate illustrated.
1. A man bought 2 loads of hay for 15£ 3 s. 8 d.; how much
was that a load ?

Q. How do you get the 7£ in the
OPERATION.

answer?

A. I begin as in Short Division of £

d.

whole numbers, and say, 2 is con2) 15 3

tained in 15£, 7 (£) times, and 1£ Ans. £ 7 11 10

over, writing down the 7 times.

Q. What do you do with the 1£

over? A. 1£= 20 8. which I join or carry to the 3 s., making 23 s. Q. How do you proceed then, to get the 11 s.

A. I say, 2 in 23, 11 times, and 1 s. over, writing down the 11 s. underneath.

Q. How do you get the 10 d.?

A. The 1 s. over being equal to 12 d., I join or carry it to 8 d., making 20 d. ; then, 2 in 20, 10 times.

From these illustrations we derive the following

12

20
S.

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RULE.
Q. At which hand do you begin to divide, and how do you proceed ?

A. With the highest denomination, and divide as in Simple Division.

Q. If you have a remainder, how do you proceed ?

A. Find how many of the next lower denomination this remainder is equal to, which add to the next denomination; after which divide as in whole numbers.

PROOF. Q. What is the proof?
A. The same as in Simple Division.

More Exercises for the Slate. 2. If 8 tons of hay cost 40£ 14 s. 8 d., what will 1 ton cost? A. 5£ 1 s. 10 d.

3. If 11 gals. of brandy cost 5£ 16 s. 5 d., what will 1 gallon cost ? A. 10 s. 7 d.

4. If a man spend 60£ 13 s. 4 d. a week, how much is that a day? A. 8£ 13 8. 4 d.

š. If 1 cwt. of rice cost 2£ 6 s. 8 d., what will 1 lb. cost? A. 0£ 0s. 5 d.

6. You have 31£ 9 s. 6 d. to be divided equally among 2 men; how much would it be apiece ?-15-14-9. How much would it be apiece to be divided among 3?-10-9-10. Among 6?-5-4-11. A. 31£ 9 s. 6 d.

7. Will you divide 2 gals. 2 qts. by 4?-0-2-1. By 5?-0-2. By 10 ?-0-1.

By 22-1-1. A. 2 gals. 2 qts. 1 pt. 8. Will you divide 96 acres, 2 roods, 16 rods, by 7?-13-3-8. By 8 ?-12-0-12. By 12?-8-0-8. A. 33 acres, 3 roods, 28 rods.

Questions to ezercise the foregoing Rules. 1. What is the sum of the following numbers, viz, one, two thousand, thirty thousand, four millions, twenty thousand, nineteen, four hundred millions ? A. 404052020.

2. Bought a coat for 15 dollars, a vest for 1 dollar 37 cents, a pair of boots for 6 dollars 12; what did the whole cost me? A. $22,50.

3. Bought a horse for $75, and sold him for 37} cents less than he cost me ; what did I get for him ? A. $74,62,5.

4. What will 3200 yards of tape come to, at 64 cents, or 15 of a dollar, a yard ?-200. At 12 cents, or } of a dollar 2-400. At 25 cents, or of a dollar?-800. A. $1400. 5. How many yards in 31557600 röds ? A. 173566800.

6. How many years in 31557600 seconds, allowing the year to contain 3654 days ? A. 1 year.

7. At 4 cents å gill, what will 1 tun of wine cost? A. $322,56.

8. How much wine can be bought for $322,56, at 4 cents a gill ? A. 1 tun.

9. How many rods in 1100 yds.? In 3300 yds.? A. 800 rods. 10. How many dollars in 300£? In 900£? A. $4000. 11. Reduce 5£ 17 s. 6 d. to farthings. A. 5640 farthings.

12. How many pounds in 5640 farthings ? A. 5£ 17 s. 6 d.
13. Multiply 3600 by 254. A. 90600.

14. What will 1 ton of clover-seed cost, at 5 mills an ounce ?
A. $179,20.

15. At 2 cents an inch, what will 1 yard of cloth cost ? A
72 cents.

16. Reduce 1 tun to gills. A. 8064 gills.
17. Reduce 20 bushels to pints. A. 1280 pints.
18 Reduce 4 tons to drams. A. 2293760.

19. How many barley corns will reach across the Atlantic
Ocean, allowing it to be 3000 miles. A. 570240000.

20. How vany times will a watch click in 20 years, if it click at the usual rate of 60 times in a minute ? A. 631152000.

21. A father left legacies to his children as follows: to Thomas 75£ 14 s. 6 d., to William 3 times as much as Thomas, to his daughter Mary & as much as Themas, and to Susan, his youngest child, as much as all the rest, lacking 20£ 13 s. 8 d. : how much did each receive: A. William 227] 3 s. 6 d., Mary 12£ 12 s. 5 d., Susan 294£ 16 s. 9 d.

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DR.

Mr. Charles Testy

To Lewis P. Child, .
1827.
Jan. 1 Th 3 yds. Linen Cloth, at 1 s. 6 d. a yard,

15. “ 1 ton of Hay, at 4 s. 6 d. a hundred,
Feb. 28. 56 25 bushels of Rye, at 3 s. 9 d. a bushel,
Mar. 9. 6 3 cows, at 5£ 10 s. a head,

0

£25 18 8. 3 d. Halifax, April 1, 1827.

Received payment,

Lewis P. Child.

FRACTIONS.

| XXXIV. 1. If one third (3) of an apple cost 2 cents, what will a whole apple cost?

2. If one third cost 3 cents, what will a whole one cost? If one third cost 4 cents, what will one whole apple cost ? If one third cost 6 cents ? 8 cents? 9 cents ? *20 cents ? 50 cents ? 100 cents ?

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