Εικόνες σελίδας
PDF
Ηλεκτρ. έκδοση
[blocks in formation]

Write the given numbers perpendicularly under each other for dividends, proceeding orderly from the least to the greatest; opposite to each dividend on the LEFT hand, place such a number for a divisor, as will bring it to the next superior name, and draw a line between them. Begin at the highest, and write the quotient of each division, as decimal parts, on the RIGHT of the dividend next below it, and so on, until they are all divided; and the last quotient will be the decimal required.

8. Reduce 15s. 6d. to the fraction of a £. Ans. .775. 9. Reduce 5cwt. 2qr. 14lb. to the decimal of a ton.

Ans. .28125.

10. Reduce 3qr. 21lb. to the decimal of a cwt.

Ans. .9375.

11. Reduce 6fur. 8rd. to the decimal of a mile.

Ans. .775.

12. Reduce 3R. 19p. 167ft. 72in. to the decimal of an Ans. .872595+.

acre.

NOTE 1. If it be required to reduce pounds, shillings, pence, and farthings, of the old New England currency, to dollars, cents, and mills; the pounds, shillings, &c. may be reduced to the decimal of a £; and if this decimal be multiplied by 10 and the product divided by 3, the quotient will be dollars and cents. But if the above decimal be multiplied by 10, and the product be divided by 4, the quotient will be the reduction of the old currency of New York to dollars and

cents.

NOTE 2. If it be required to bring English sterling money to dollars and cents, let the pounds, &c. be reduced to the decimal of a penny; then divide this decimal by, and the quotient is dollars

and cents.

13. Change 18£. 15s. 6d. of the old New England currency, to dollars and cents.

OPERATION.

18.£. 15s. 6d.

18.775£.; 18.775 x

= $62.581 Ans.

currency of New

14. Change 15£. 12s. 9d. of the old York, to dollars and cents.

OPERATION.

15£. 12s. 9d. 15.7875£.; 15.7875 x = $39.46.83 Ans.

15. Change 176£. 19s. 9d. sterling to United States Ans. $786.61+. currency.

OPERATION.

176£. 19s. 9d. = 176.9875£. ; 176.9875 ×o=$786.61+.

III. To find the value of any given decimal in the terms of the integer.

16. What is the value of .9875£. ?

[blocks in formation]

Ans. 19s. 9d.

This question is performed by the same principle we adopted in finding the value of a vulgar fraction in the known parts of the integer.

Hence the following

RULE.

Multiply the given decimal by that number which it takes of the next denomination to make one of that greater, and cut off as many places for a REMAINDER, on the RIGHT hand, as there are places in the given decimal. Multiply the REMAINDER by the next lower denomination, and cut off for a remainder as before, and so proceed, until the decimal is reduced to the denomination required; the several denominations standing at the LEFT hand are the answers required. 1. What is the value of .628125 of a £ ?

Ans. 12s. 6d.

2. What is the value of .778125 of a ton ?

Ans. 15cwt. 2qr. 7lb.

3. What is the value of .75 of an ell English?

Ans. 3qr. 3na.

4. What is the value of .965625 of a mile ?

Ans. 7fur. 29rd.

5. What is the value of .94375 of an acre?

Ans. 3R. 31p.

6. What is the value of .815625 of a pound troy?

Ans. 9oz. 15dwt. 18gr.

7. What is the value of .5555 of a pound apothecary's Ans. 63. 53. 09. 1917gr.

weight?

Section 32.

EXERCISES IN DECIMALS.

1. What is the value of 15cwt. 3qr. 14lb. of coffee, at

$9.50 per cwt. ?

2. What cost 17T. 18cwt. 1qr. 7lb. per ton?

3. What cost 37A. 3R. 16p. of acre?

4. What cost 15yd. 3qr. 2na. of yard?

5. What cost 153 cords of wood,

6. What cost the construction of
railroad, at $3765.60 per mile?
7. What cost 27hhd. 21gal. of
$15.37 per hogshead ?

Ans. $ 150.81+. of potash, at $53.80 Ans. $963.86+. land, at $75.16 per Ans. $2844.80+. cloth, at $3.75 per

Ans. $59.53+. at $4.62 per cord?

Ans. $71.10+. 17m. 6fur. 36rd. of Ans. $67263.03+. temperance wine, at Ans. $420.24+.

8. What are the contents of a pile of wood, 18ft. 9in. long, 4ft. 6in. wide, and 7ft. 3in. high?

Ans. 611ft. 1242in. 9. What are the contents of a board 12ft. 6in. long, and 2ft. 9in. wide? Ans. 34ft. 54in. 10. Bought a cask of vinegar containing 25gal. 3qt. 1pt. at $0.37 per gallon; what was the amount?

Ans. $9.70+. 11. Bought a farm containing 144A. 3R. 30p. at $97.621 per acre; what was the cost of the farm?

Ans. $14159.52+.

12. Sold Joseph Punson 3T. 18cwt. 21lb. of salt hay, at $9.37 per ton. He having paid me $20.25, what remains due? Ans. $16.40+.

13. If of a cord of wood cost $ 5.50, what cost one cord? What cost 72 cords? Ans. $48.71+.

Section 33.

SIMPLE INTEREST.

INTEREST is the compensation, which the borrower of money makes to the lender.

PRINCIPAL is the sum lent.

AMOUNT is the interest added to the principal.

PER CENT., a contraction of per centum, is the rate established by law, or that which is agreed on by the parties, and is so much for a hundred dollars for one year.

GENERAL RULE.

Multiply the principal by the rate per cent., and divide by 100, and the quotient is the answer for one year; or, multiply by the rale per cent. and cut off two figures from the right hand, and those at the left will be the interest in dollars, and those at the right will be cents, or decimals of a dollar.

SECOND METHOD. Let the per cent. be considered a decimal of a hundred dollars, and multiply the principal by it. Thus, .06 is the decimal for six per cent. and .07 is the decimal for seven per cent.

This rule is obvious from the fact, that the rate per cent. is such a part of every hundred dollars. Thus, 6

per cent. is

of the principal.

NOTE. When no particular per cent. is named, 6 per cent. is to be understood, as it is the legal interest in the New England States generally. In New York the legal interest is 7 per cent.

1. What is the interest of $346 for one year?

[blocks in formation]

2. What is the interest of $197 for 1 year?

3. What is the interest of $1728 for 3

Ans. $11.82.

?

years
Ans. $311.04.

4. What is the interest of $ 69 for 2 years?

5. What is the interest of $1775 for 7

6. What is the interest of $ 987 for 10

Ans. $8.28.
years ?
Ans. $745.50.
?

years
Ans. $592.20.

7. Required the interest of $69.17 for 4 years.

Ans. $16.60.

8. Required the interest of $96.87 for 11 years.

Ans. 63.93.

9. Required the interest of $ 1.95 for 18 years.

Ans. $2.10.

10. Required the interest of $ 1789 for 20 years.

Ans. $2146.80.

11. Required the interest of $ 666.66 for 30 years. Ans. $1199.98. 12. What is the amount of $ 98.50 for 5 years ? Ans. $128.05. 13. What is the amount of $168.13 for 11 years ? Ans. $279.09.

14. What is the amount of $75.75 for 17 years?

Ans. $153.01.

15. Required the amount of $ 675.50 for 100 years. Ans. $4728.50.

II. To find the interest for months, at six per cent.

RULE.

Multiply the principal by half the number of months, and

« ΠροηγούμενηΣυνέχεια »