RULE. Multiply the given decimal by the number it takes of the next lower denomination to make one of this higher, and place the decimal point as in multiplication of decimals; multiply the DECIMAL PART of this product by the number it takes of the NEXT lower denomination to make one of THIS, and so proceed as far as necessary. The several numbers at the left of the points will be the answer. 2. Reduce .984375 of a bushel to pecks, quarts, and pints. Ans. 3pk. 7qt. 1pt. 3. Reduce .40625 of a gallon to quarts, pints, and gills. minutes, and seconds. 5. Reduce .90625 of a yard to quarters, nails, etc. 6. What is the value of .375°? 7. What is the value of .375 of a ton? Ans. 22' 30". 8. What is the value of .4658 of a pound, Troy Weight? 9. Reduce .3587 of a mile to furlongs, rods, yards, etc. 10. Reduce .562lb to 3, 3, etc. MISCELLANEOUS EXAMPLES IN DECIMAL FRACTIONS. 1. What is the cost of 6.25 lb. of beef, at 12 cents per pound? Ans. 75c. 2. Bought 4.5 tons of hay, at $12.50 per ton; what was the cost of the whole? Ans. $56.25. 3. What is the value of 8 acres of land, at $62.50 per acre? 4. Paid $500 for 8 acres of land; what was the price per acre? 5. Paid $500 for a piece of land at $62.50 per acre; how many acres were bought? 6. Bought land at $62.50 per acre, and sold it again at $75 per acre, thereby making $100; how many acres were bought? 7. Bought 8 acres of land at $62.50 per acre, and sold the lot for $600; was there a gain or a loss? How much total? How much per acre? 176. Rule for reducing a decimal of a higher denomination to whole numbers of lower denominations? Explanation? 8. What cost 43a. 3r. 20rd. of land, at $40 per acre? 9. What cost 3t. 15cwt. 2qr. 124lb. of còal, at $6 per ton? 10. What cost 12.25 cords of wood, at $6 per cord ? 11. What cost 73 cords of wood, at $6.25 per cord? 12. What will it cost to build 24m. 3fur. 20rd. of railroad, at $5775 per mile? 13. A rectangular field is 40.5 rods long, and 30.5 rods wide; what will it cost to build a wall around it, at $1 per rod? 14. What cost 3yd. 3qr. 2na. of cloth, at 16c. per yard? 15. How much land in a rectangular field that is 40.5 rods long and 25.75 rods wide? 16. What would 16 bales of cotton cost, each bale weighing 4.5cwt., at $10.50 per cwt.? 17. What cost .825 of a ton of coal, at $7 per ton? 18. What cost .825 cwt. of coal, at $7 per ton? 19. What is the value of .25 of a ton of hay, at 5s. 6d. 1qr. per ton? 20. What is the value of .75 cwt. of hay, at 2£ 5s. 6d. 1qr. per ton? 21. Paid 3£ 9s. 6d. 1qr. per acre, for 5a. 2r. 15rd. of land; what was the entire cost? 22. If 365 days make a year, how many days, hours, etc., are there in .785 of a year? 23. What is the cost of pieces of cloth, the first containing 15 yards, at $2.25 a yard; the second, 12.5 yards, at $3.50 a yard; and the third, 8.8 yards, at $3.25 a yard? 24. A three-sided plat of ground is inclosed by a railroad on one side, and highways on the other two sides; the side next the railroad is 4.1 rods long, and the other two sides are respectively 4 rods and .9 of a rod in length; what is the cost of fencing this plat, the fence costing $3.75 a rod? 25. If a boat sails 8.75 miles an hour, how far will it sail in 8.4 hours? 26. How many bins, each holding 37.5 bushels, will be filled with 1687.5 bushels of grain? 27. How many coats, each requiring 2.75 yards of cloth, may be made from 35.75 yards? 28. In how many days will a man earn $20.125, if he earn $1.75 a day? 29. How many square feet in a board which is 18.25 feet long and 2.8 feet wide? 30. Bought a load of straw that weighed 1t. 2cwt. 3qr. 121lb., at $8 a ton; what shall I pay for the load? 31. Paid $7.175 for 35 gall. 3qrt. 1pt. of vinegar; what was the price per gallon? 32. If a pole 12.5 feet long casts a shadow 3.125 feet at 12 o'clock, what is the hight of a steeple that casts a shadow 33.28125 feet at the same time? 33. What is the cost of carpeting a room that is 16.5 feet long, and 15 feet wide, the carpet costing, $1.25 per square yard? UNITED STATES MONEY. 177. UNITED STATES MONEY, sometimes called Federal Money, is the currency of the United States. NOTE. The terms eagle and dime are seldom used in computation; agles and dollars being read collectively and called dollars, and dimes and cents being called cents; thus, 3 eagles and 5 dollars are called $35, and 4 dimes and 3 cents are called 43 cents. 177. What is United States Money? Repeat the Table. Are the terms eagle and dime much used?. 178. The currency of the United States being based upon the Decimal Notation, most of the necessary rules for operations in this currency, and also many examples, have already been given; but the importance of the subject justifies a separate consideration of it. 179. A coin is a piece of gold, silver, or other metal, stamped by authority of the General Government, to be used as money. 180. The coins authorized by our Government, and stamped at the U. S. Mint, are the following: 181. Gold and silver, for coinage, are hardened by being mixed with harder and cheaper metals. These cheaper metals, when combined with the gold and silver, are called alloys. 182. Carat is a term used in indicating the purity or fineness of gold. If a piece of metal is pure gold it is said to be 24 carats fine; if 23 of it are gold, and the remaining is alloy, it is 23 carats fine; etc., etc. 183. The standard purity of gold and silver coin at the U. S. Mint, is P of pure metal and alloy. The alloy in silver coin is pure copper. The alloy in gold coin is copper and silver, the silver not to exceed the copper. (a) The new cent is composed of 88 parts of copper for 12 parts of nickel. 178. On what is the currency of the U. S. based? 179. What is a coin? 180. What gold coins are authorized by our Government? What silver coins? Of what is the cent made? 181. What is alloy? For what used? 182. For what is the term carat used? Pure gold is how many carats fine? 183. What is the standard purity of gold and silver coin? What is the alloy for silver? What for gold? What part of the new cent is nickel? NOTE 1. U. S. Mint. NOTE 2. The copper cent is still in use, but is no longer coined at the The mill is not coined. NOTE 3. Other pieces of money, as the 50-dollar gold piece, the half d quarter dollar gold pieces, are in use to some extent, but are not legal coin. NOTE 4. The greater part of the money in general use, consists of bank wills, which are much more convenient for most purposes than gold and silver. 184. The weight of the eagle is 258 grains, Troy. The silver dollar weighs 412 grains, but the smaller coins are not so heavy in proportion to their value; thus, the half dollar weighs only 192 grains; the quarter, only 96 grains, etc. The new cent weighs 72 grains. NOTE. These standards of weight and purity are regulated by Coness, and may be changed at any time. 185. In this currency, the dollar is the unit, cents and mills being decimals of a dollar; thus, $3.62 represents three dollars and sixty-two cents; $4.085 represents four dollars, eight cents, and five mills, etc. NOTE. Figures at the right of the third decimal place, represent parts of mills; thus, $5.3627 5 dollars, 36 cents, 2 mills, and of a mill. REDUCTION. 186. The reduction of U. S. Currency is very simple. Dollars are reduced to cents by annexing two ciphers (Art. 62), and to mills by annexing three ciphers; thus $4 = 400 cents = 4000 mills. Dollars and cents are reduced to cents by removing the decimal point; thus, $3.56 356 cents. Dollars, cents, and mills = 183. Is the mill coined? What of other pieces of money? What of paper money? 184. What is the weight of the eagle? Of the silver dollar? Half dollar? By whom is the standard of weight and purity fixed? 185. What is the unit in this currency? What are cents and mills? What are figures at the right of the third decimal place? 186. How are dollars reduced to cents? How to mills? How are dollars and cents reduced to cents? How dollars, cents, and mills to mills? |