ist. 1,006, 05270, 4018, 040, 1079, 080, 071, 402 2d. 17,040,10950, 201 +701 +30 +5, 000, 127 3d. 70904398125+807912398162753 4th. 37900051009645 + 309047 - EXAMPLES IN MULTIPLICATION. 1. Seven boys have each twelve marbles; how many marbles have they altogether? 2. If 5 boys buy each half a peck of apples, and each half peck holds on an average 16 apples, how many apples have they altogether? 3. A company of soldiers of 105 men with the officers, having all muskets, each weighing 5 pounds, and 2 pounds of ammunition, how much weight have they to carry altogether? 4. A ton, ship's weight, is 2200 pounds; how many pounds weight will be in a vessel carrying 450 tons? 5. Twenty bales of cloth, containing each 27 pieces, of 20 yards the piece, how many yards are there in the whole? DIVISION. 1. I have 750 pieces of cloth, and can put no more than 15 pieces in a bale; how many bales shall I have to make? 2. A schoolmaster has 62 boys, and having a lot of 434 marbles which he wishes to distribute equally among his boys as a rewaru, how many will each of them get? 3. If a man has an annual income of $3555, how much can he spend per day? 4. A man having two hundred and fifty miles to travel, and travelling 24 miles per day, how long will he be in performing the journey? Make the difference between the following fractions, added and subtracted as indicated by the signs. REDUCTION TO DECIMAL FRACTIONS. 1. Reduce 13h. 7m. into decimals of the day. 56d. Th. into decimals of the year. 3. 99 6. 99 10, 5 inches into decimals of the foot. 5 oz. 7 dwt. 3 gr. troy into decimals of the pound. 75 lb. 7 oz. into decimals of the cwt. avoirdupois. 2 ft. 5, 7 in. into decimals of the yard. 27 h. 5 m. 3 s. into decimals of the year. 17 cubic inches into decimals of the cubic foot. ADDITION. A grocer making an inventory, finds he has in cash $ 17, 52; in various liquors the amount of $215, 17; in soap, candles, and such articles, $92, 54; in spices, $107, 32; in salt fish and similar provisions, $49, 62; and in various small articles, besides the furniture of his store, in all $ 57,84; what is the whole amount of his -stock? 1. Bought 17 yards of cloth at $2, 65 per yard; how much is the amount to pay? 2. Multiply 10, 09562 X 7, 8059 0,00867X 9, 0472 3. 4. 9, 80604X0, 0976 MIXED QUESTIONS IN DECIMAL FRACTIONS. 1 What do 5 pieces of cloth of 28 yards each, come to, at $3, 37 per yard? 2. One pound sterling is equal to $4, 444; (with continued decimals of 4;) how much is £975, expressed in dollars? Ans. $4335, 55122. 3. A captain of a vessel has on board 706 packages, each measuring 1-8 of a ton; 89 others, each measuring a ton; and 405 others, each measuring of a ton; how many tons of lading has he? Ans. 2641 tons. 3. A captain has on board 170 bales, each paying freight $1,25; 305 packages, each paying 87 cents; 230 tons of other goods, each ton paying $12, 624; and 6 passengers, each paying $78, 50; how much does his whole freight and passage money amount to? Ans. $3854, 12ł. 5. A raft contains 305 pieces of timber; of these 120 are oak, 36 feet long and 16 inches square; 50 pieces of oak, 45 feet 6 inches long, and 18 inches by 14 inches on the sides; 166 pieces of pine masts, reckoned at 2 feet 6 inches square and 60 feet long. The rest pine timber, 17 inches square by 50 feet in length. The oak timber sells at 45 cents per cubic foot; the masts at 80 cents the cubic foot, and the pine timber at 15 cents the cubic foot. How much money will the whole raft come to in the sale? 6. For plastering a wall the mason has to receive 21 cents per square yard (or the square of 3 feet each way, and containing therefore 9 square feet;) the wall which he has plastered is 134 feet high, and 22 feet long; how much has he to receive for it? Ans. $6,93. And how many yards does the wall contain? Ans. 33 yards. 7. How many square feet front of brick wall can be built with 3600 bricks, the thickness of the wall being the length of two bricks, and the end of the bricks being four inches by two? Ans. 1000 feet square. 8. A merchant makes 16 per cent. upon merchandise that costs him $7,65; how much will his profit amount to? = 7650 X0, 165 Ans. $1262, 25, (according to the principles of decimal fractions.) 9. The tare allowed upon a certain merchandise is 21 per cent.; how much will it amount to upon 7355 weight? (Expressed as above): = 283, 875 DENOMINATE FRACTIONS. ADDITION. 1. Add £7 6s. 7d. + £3 4s. 10d. + 3s. 4d. + £9 14s. 11d. +£23 17s. 5d. 2. Add 3 lb. 4 oz. 17 dwt. 5 gr. + 15 dwt. 17 gr. + 17 lb. 3 dwt. 4 gr. 17 oz. 15 gr. + 3 lb 12 dwt. 6 gr. 3. Add 6 yds. 2 ft. 3, 4 in. + 17 yds. 5 in. +22 yds. 1 ft. 11 in. +62 yds. 1 ft. 9 in. +34 yds. 10 in. +69 yds. 2 ft. 9 in. 4. Add 7 miles 3 furlongs 17 yds. + 21 m. 1 fur. 30 yds. + 84 m. 3 yds. 5. Add 24 bush. 3 pecks +19 bush. 5 pecks + 18 bush. 2 pecks+42 bush. 1 peck. SUBTRACTION. 1. A grocer had according to his last inventory 317 lb. 10 oz. of sugar; 561 lb. 4 oz. of coffee; 451 lb. 6 oz. tea; 15 lb. 3 oz. pepper; 3 oz. 6 dwt. mace; 152 lb. rice; 17 gallons rum. He has sold since, 283 lb. 6 oz. sugar; 341 lb. 7 oz. coffee; 349 lb. 5 oz. tea; 11 lb. 8 oz. pepper; 2 oz. 6 dwt. mace; 5 gallons and 3 gills of rum; 121 lb. 7 oz. rice; how much has he left of each kind? 2. A man has to travel 75 miles; he walks the first day 20 miles 3 furlongs; the second 18 miles fur. 20 yds.; the third 23 miles 7 fur. 50 yds.; how much of his journey remains every evening to be performed? 3. William the Conqueror acquired the throne of England the 26th December, 1066, and died 8th September, 1087. His son William the Second, who immediately succeeded, died the 2d August, 1100. Henry the first succeeded, and died the 10th December, 1135 How long did each of them reign? 4. Three men, starting at the same time from one place, arrived at another determined place, the first after 10 h. 16 m.; the second after 12 h. 42 m.; the third after 15 h. 3 m. How much did each of them arrive after the other? MULTIPLICATION. 1. Bought 27 lb. 5 oz. 16 dwt. of drugs at the rate of $9, 75 the pound; how much will be the amount? 2. Bought three bales of cotton, the first weighing 1016 lb., the second 998 lb., the third 1093 lb., at 172 cents the pound; what is the amount to pay? 3. A room is 22 feet 5 inches long and 18 feet 9 inches broad; how many yards of carpet will it need? 4. A wall is 8 feet 7 inches high, and 65 feet 9 inches in circumference; how many feet of plastering will be in it? 5. Required the solid contents of a wall 74 feet 6 inches long, 2 feet 9 inches broad, and 24 feet 4 inches high? |