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5. In April 1818, Dr. Crisp accomplished his unparalleled undertaking of walking to and from Oxford and London, for 17 successive days, at the rate of 61 miles a day: How many miles did he walk within that time? Ans. 1037 miles.

Exercises in Subtraction and Multiplication.

1. The A. B. S. during A. D. 1818, printed 47300 copies of the Bible, and 24000 do. of the New Testament, and its funds, received the same year, amounted to 60 cents a copy; and during the 3 years it had existed, it printed 105270 copies of the Bible and Testament: To what did the funds, received during 1818, amount; and how many more copies were printed in the 3 years, than in that year?

Ans.

{919780 amount of funds.

copies.

NOTE. In the above sum, after multiplying the number of copies printed in 1818 by 60 cents, point off the two right hand figures of the product for cents, the rest will be dollars.

MULTIPLICATION OF FEDERAL MONEY.

RULE.

Q. How do you place the numbers to be multiplied? A. In multiplying Federal Money, place the numbers according to their value; i. e. dollars under dollars, cents under cents, &c. and proceed exactly as in whole numbers.

Q. Where do you place the separatrix in the product? A. Place the separatrix as many figures from the right hand, as there are figures at the right of the separatrix in both the factors; and if there be not so many decimal places in the product, supply the defect by prefixing cyphers at the left hand.

Q. When there are more than three decimal figures, what do they signify?

A. When there are more than three decimal fractions, all the figures to the right hand of mills, or the third place, are decimal parts of a mill.

NOTE.

Q. What do dollars multiplied by dollars, produce, &c. ? A. Dollars multiplied by dollars produce dollars; also,

MULTIPLICATION OF FEDERAL MONEY.

71

dollars multiplied by dimes, produce dimes; dimes multiplied by dimes, produce tenths of dimes; dollars multiplied by cents, produce cents; dimes by cents, tenths of cents; cents by cents, hundredths of cents; dollars by mills, produce mills; dimes by mills, tenths of mills; cents by mills, hundredths of mills; mills by mills, thousandths of mills, &c.

Q. What do dimes multiplied by dollars, produce, &c. ? A. Dimes multiplied by dollars, produce dimes; also, cents multiplied by dollars, produce cents; cents by dimes, produce mills; mills by dollars, produce mills; mills by dimes, produce tenths of mills; mills by cents, produce hundredths of mills, &c.

EXAMPLES.

NOTE.-The method of proceeding in Multiplication of Federal Money illustrated.

1. What is the product of $74,912 multiplied by $2,051 ?

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74 912 3 745 60.

149 824 0

$153,644 512

Proof. 4

8X5

4

Prod. by the mills, or thous. (1) of the Multip.
Prod. by the cts. or hund'ths. (5) of the Multip.
Prod. by the dollars, or units (2) of the Multip.

Total product, or answer.

NOTE. To find the total product of the numbers here given to be multiplied, begin and multiply each figure in the multiplicand by the mills, or thousandths (1) in the multiplier, the product of which, set below the multiplier; then multiply each figure in the multiplicand by the cents, or hundredths (5) in the multiplier, the product of which, set below the first product; the tenths being a cypher, omit it, except bringing it down; then multiply each figure in the multiplicand by the dollars, or units (2) in the multiplier, the product of which, set below the second product; add the three products together, the amount of which, set underneath, and it will be the total product, or answer.

To

prove the work, first cast the nines out of the multiplicand, the remainder of which being 5, place at the right hand of the cross; then cast the nines out of the multiplier, the remainder of which being 8, place at the left hand of the cross; then cast the nines out of the total product, the remainder of which being 4, place below the

cross; lastly, the product of the remainders of the multiplicand and multiplier being 40, cast out the nines, the remainder of which being 4, place above the cross, which (4) corresponding with the figure below the cross, proves the work to be correct.

2. Multiply $27 by $12.
3. Multiply $80,06×$17,40.
4. Multiply 827,27×$12,12.
5. Multiply $0,27×$0,12.

Ans. $324. Ans. $1393,044.

Ans. $330,5124.

Ans. $0,0324.

NOTE. In the product of the above sum, and also in the following sums, when there is no whole number, a cypher is expressed in the unit's place with the character $ signifying dollars, cents, &c prefixed.

Ans. $0,30525.
Ans. $0,039516.

Ans. $17529,49.
Ans. $36.

6. Multiply $1,95X$0,06. Ans. $0,1170=$0,117. 7. Multiply $0,555X$0,55. 8. Multiply $9,879×$0,004. 9. Multiply $649×$27,01. 10. Multiply $60×$0,60. 11. Multiply $0,80×$80. 12. Multiply $0,25×$0,25. 13. Multiply $21-$0,08.

14. Multiply nine dollars by six dimes.

Ans. $64.

Ans. $0,0625.
Ans. $1,68.

Ans. 54 dimes, equal to $5,40. NOTE.-In placing the numbers in the above sum, call the six dimes, sixty cents

15. Multiply seven dimes by seven dimes.

Ans. 49 tenths of dimes, equal to $0,49.

16. Multiply nine dimes by eight cents.

Ans. 72 tenths of cents, equal to $0,072.

17. Multiply seven cents by four cents.

Ans. 28 hundredths of cents, equal to $0,0028.

18. Multiply $4 by eight mills.

Ans. 32 mills equal to $0,032.

19. Multiply $0,70 by $0,006.

Ans. 42 tenths of mills, equal to $0,0042.

20. Multiply nine cents by eight mills.

Ans. 72 hundredths of mills, equal to $0,00072.

21. Multiply seven mills by five mills.

Ans. 35 thousandths of mills, equal to $0,000035.

22. Multiply $5,006 by $1,469.

23. Multiply $5,466 by $1,009.

Ans. $7,353814.
Ans. $5,515194.

24. How many dollars added to $36+$14-$12-$8 ?

Ans. $46.

Ans. $8.

25. How many dollars subtracted from $36-$4-$8

X$3?

Questions and Exercises in Multiplication of Federal Money.

Q. In finding the value of Goods, and in making out bills of Parcels, when the price of one yard, pound, &c. is given, how do you find the value of the whole quantity ?

A. Multiply the given price by the quantity, and place the separatrix as many figures from the right hand of the product, as there are in the given price.

EXAMPLES.

1. What is the value of a bundle of cotton, weighing 88 pounds, at $0,19 a pound? Ans. $16,72. 2. What is the value of a bundle of cinnamon, weighing 60 pounds, at thirty-seven cents a pound?

Ans. $22,20.

Ans. $238.

3. What is the value of 112 pounds of Hyson-skin tea, at $2,125 a pound? 4. What cost 27 pounds Havana sugar, at nineteen cents a pound?

Ans. $5,13.

5. What cost 148 barrels of flour, at $11,50 a barrel ?

Ans. $1702.

Ans. $8984,25.

6. Sold 297 pieces of calico, at $30,25 a piece: For how much was the calico sold? 7. What cost 719 yards of Russia diaper, at $0,425 a yard? Ans. $305,575. 8. What cost 144 dozen of lemons, at twenty-five cents a dozen ? Ans. $36. 9. What cost 355 bushels of barley, at $1,07 a bushel ?

Ans. $379,85.

10. What cost 90 tons of hay, at $18,50 a ton?

Ans. $1665.

11. Sold 965 acres of land, at $9,65 an acre: For how much was the land sold? Ans. $9312,25.

12. Fifty-four men receive a certain sum of money, of which each man receives $294: What is the amount which the whole receive? Ans. $15876.

13. What cost 75 pairs of boots, at $7,09 a pair?

Ans. $531,75.

14. Bought 685 pairs of kid gloves, at seventy-five Ans. $513,75.

cents a pair? 15. A. paid $2,83 a week for board and other neces

sary expenses, for the term of 11 weeks: To what did it amount?

Ans. $31,13. 16. If my income be $10,986 a week, how much is it a year at that rate? Ans. $571,272. 17. What cost 1007 yards of book muslin, at $0.755 a yard? Ans. $760,285. 18. Sold 175 yards of broadcloth, at six dollars a yard: To what did it amount? 19. Bought 17 tons of white lead, at $320 a ton: To what did it amount? 20. What cost 890 casks of linseed oil, at $39 a cask?

Ans. $1050.

Ans. $5440.

Ans. $34710.

21. If 1 barrel of rosin cost $4,055, what will 1173 barrels, cost at that rate? Ans. $4756,515.

22. Suppose you purchase 90 tons of cordage at $195 a ton: To what will it amount? Ans. $17550.

23. What cost 193 pieces of India cotton, at $9,872 a piece? Ans. $1905,296. 24. At the Mint, 35000 eagles can be coined in a week : How many can be coined in a year at that rate ? Ans. 1820000. 25. The Capitol of the State of N. York at Albany, cost $110685; allowing 22 States in the Union, and 1 Capitol to each, what would the whole number of Capitols cost at that rate? Ans. $2435070.

26. In 1818, the U. States purchased of the Indians, seven millions acres of lands in Ohio and Illinois, for which they were to pay $28000 in specie, annually for ever; suppose it cost $0,095 an acre, to what did it amount ? Ans. $665000.

27. In Dec. 1818, eighty thousand dollars worth of produce was sent to the N. York market, from Dutchess county, in one week: To what would it amount in a year at that rate? Ans. $4160000.

28. The aggregate distance of the grand canal from lake Erie to the Hudson, is 353 miles, (being on an air line 280 miles,) and the average expense a mile was estimated at about $13829: To what did the whole expense of making it amount? Ans. $4881637

29. The amount of salaries paid, during the year 1819, to the Clerks in the different offices of the Treasury de

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