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(2) MULTIPLICATION.-5 times 2 are 10 (quarts); 10 qt. are 1 pk. and 2 qt. 5 times 3 are 15 (pecks); 15 pk. and 1 pk. are 16 pk.; 16 pk. are 4 bu. 5 times 5 are 25 (bushels); 25 bu. and 4 bu.

are 29 bu. (3) RESULT.-Hence, 5 bu. 3 pk. 2 qt. multiplied by 5 are 29 bu. 0 pk. 2 qt.

RULE.

Multiply each of the simple numbers composing the compound number by the multiplier, reducing lower to higher units, as in 85.

2. Multiply 3 £ 2 s. 61 d. by 4. Ans. 12 £ 10 s. 1 d. 3. Multiply 5 cwt. 3 qr. 21 lb. by 3.

Ans. 17 cwt. 3 qr. 13 lb. 4. If I walk 3 m. 1 fur. 17 r. per hour, how far do I

walk in 5 hours?

Ans. 15 m. 7 fur. 5 r. 5. A square field measures 13 r. 6 ft. 6 in. on each How far is it round the field?

side.

Ans. 53 r. 9 ft. 6 in.

6. How many acres in 16 lots of land, each lot containing 5 A. 3 R 20 r.

Ans. 94 A. 7. If a barrel of flour is worth, in London, 1 £ 5 s. 6 d., what are 12 barrels worth? Ans. 15£ 6 s.

8. If a bar of gold weighs 6 lb. 2 oz. 14 dwt., what do 2 bars of the same size weigh? 3 bars? 5 bars? 7

bars? 10 bars?

23, and 42.

Last Ans. 62 lb. 3 oz.

9. Multiply 23 lb. 15 dwt. 7 gr. by 3; 5; 9; 13; 16; Ans. 69 lb. 2 oz. 5 dwt. 21 etc. gr., 10. Multiply 5 £ 4 s. 3 d. by 3; 7; 11; 15, 19; 23,

and 46.

Ans. 15£ 12 s. 9 d., etc.

11. Multiply 24 cwt. 1 qr. 8 lb. by 4; 7; 10; 13; 16; Ans. 97 cwt. 1 qr. 7 lb.

19, and 38.

12. Multiply 9 tons 15 cwt. 14 lb. by 2; 4; 8; 16; 32; 64, and 128. Ans. 19 T. 10 cwt. 1 qr. 3 lb., etc.

13. Multiply 6 ft. 9 in. by 3; 6; 12; 24; 18; 30; 36, and 72.

14. Multiply 5 m. 6 fur. 25 r.

30, and 125.

Ans.

20 ft. 3 in., etc.

by 5; 10; 15; 20; 25; Ans. 29 m. 1 fur. 5 r., etc.

15. Multiply 7 yd. 2 ft. 3 in. by 4; 6; 8; 12; 36; 20,

and 100.

Ans. 31 ft. etc.

DIVISION OF COMPOUND NUMBERS. 89. To divide a compound number.

EXAMPLES.

1. Divide 19° 13' 24" by 15; 29 £ 4 s. 6 d. by 7; 4 tens 3 units 4 tenths by 4.

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(2) DIVISION.-15 in 19, 1 and 4 over (degrees); 4° are 240′; 240′ and 13' are 253'; 15 in 253, 16 times and 13 over ('); 13′ are 780"; 780′′ and 24′′ are 804"; 15 in 804, 53.6 times (").

(3) RESULT.-Hence, 19° 13′ 24′′ divided by 15 give 1° 16' 53.6"

RULE.

(1.) Divide that term of the compound number which has the highest unit value by the divisor, and write the quotient as the highest term of the answer.

(2.) Reduce the remainder, if there be any, to the next lower unit, adding that term of the dividend which has the same unit value.

(3.) Divide the sum as before, and proceed in the same manner till the lowest units are reached.

2. Divide 86 lb. 7 oz. 15 dwt. 10 gr. by 2; 3; 4; 5; 8; 16, and 32. Ans. 43 lb. 3 oz. 17 dwt. 17 gr., etc. 3. Divide 102 lb. 11 oz. 15 dwt. 16 gr. by 8; 11; 17; 25; 43, and 14. Ans. 12 lb. 10 oz. 9 dwt. 11 gr., etc. 4. Divide 1 cwt. 1 qr. 24 lb. 15 oz. 8 dr. by 4; 8; 16; 32, and 64. Ans. 1 qr. 12 lb. 7 oz. 14 dr., etc. 5. Divide 56 £ 12 s. 6 d. by 2; 3; 4; 5; 6; 7; 8; 9, and 10. Ans. 28 £ 6 s. 3 d., etc. 6. Divide 36° 15' 36" by 3; 4; 5; 6; 7; 8; 9; 10, and 12. Ans. 12° 5' 12", etc. 7. If of an acre of land are worth 2£ 8 s. 4 d., what is an acre worth at the same rate?

Ans. 3£ 12 s. 6 d.

8. If I walk 1 m. 1 fur. 1 r. in 3 of an hour, how far could I walk in an hour at the same rate?

Ans. 1 m. 4 fur. 1ļ r.

9. A man owns 56 A. 1 R. 8 r. of land, and divides it into 4 lots. How much land in each lot?

Ans. 14 A. 12 r.

10. I have 135 A. 2 R. 8 r. of land which is divided into lots containing 16 A. 3 R. 31 r. each. How many lots are there? (Reduce both numbers to rods.)

Ans. 8 lots.

11. How many half-dimes in 8 dol. 65 cents?

Ans. 173 half-dimes.

12. How many hats worth 3 s. 7 d. each can be made

for 8£ 15 s. 7 d.

Ans. 49 hats.

DENOMINATE DECIMAL NUMBERS.

90. A DENOMINATE decimal NUMBER is one the value of whose units accords with the decimal system of notation.

MONEY.

91. UNITED STATES MONEY is the national currency of the United States.

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REMARK 1.-The coins in use are: GOLD-double-eagle, eagle, kalf-eagle, quarter-eagle, and dollar. SILVER-Dollar, half-dollar, quarter-dollar, dime, and half-dime. NICKEL-Half-dime and three-cent piece. COPPER-Two-cent and the one-cent pieces.

REMARK 2.—United States money has already been exemplified in this treatise. The subject is mentioned here merely to exhibit its relation to the tables which follow.

92. FRENCH MONEY is the currency of the Empire of France.

TABLE.

.1 of a FRANC (Fr.) makes 1 decime

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1 centime

d.

C.

REMARK 1.-The FRANC is worth 183 cents in U. S. money. REMARK 2.-The coins in use in France are: GOLD-100-franc, 50-franc, 40-franc, NAPOLEON or 20-franc, 10-franc, and 5-franc pieces. SILVER-5-franc, 2-franc, 1-franc, half-franc, and 20centime pieces. COPPER-10-centime, 5-centime (called a sou), 2-centime, and 1-centime pieces.

REMARK 3.-The FRANC is the primary unit, and is written like the dollar in U. S. money. The centime occupies two places on the right of the decimal point, like the cent.

EXERCISES.

1. Read the following sums of money: Fr. 7.25; Fr. 8.35; Fr. 17.09; Fr. 165.75; Fr. 3025.20; Fr.5864.50, etc. Ans. 7 francs 25 centimes, etc.

2. Find the sum of Fr. 7.45; Fr. 0.25; Fr. 12.75; Fr. 24.20; Fr. 13.16, and Fr. 1.50

3. From Fr. 14.02 take Fr. 9.50

4. From 53 fr. 5 c. take 27 fr. 20 c.

Ans. Fr. 59.31

Ans. Fr. 4.52

Ans. Fr. 25.85

5. If a yard of calico is worth 1 fr. 2 c., what is the value of 13 yd.? 25 yd.? 17 yd.? 6. If 8 yards of cloth can be what is the value of 1 yd.?

7. In $1.00 how many francs?
8. In dollar how many francs?

Ans. Fr. 13.26, etc. bought for Fr. 12.04,

Ans. Fr. 1.505

Ans. 5 fr. 44 c.

Ans. 2 fr. 72 c.

9. In of a dollar how many francs? Ans. 1 fr. 36 c.

10. In 12 cts. how many centimes?

METRICAL SYSTEM.

Ans. 68.

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REMARK. These words are derived from Greek and Latin numerals, and must be carefully committed to memory.

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