How do you get thell£? A, 5 times 2£ are 10£, and 1£ 'to casry) makes 11£. From these illustrations we derive the following RULE. 1. With which denomination do you begin to multiply? A With the lowest. 11. How do you multiply that, and each denomination? A Scparately, as in Simple Multiplication. til. Horo do you divide each product and carry? A. As in Compound Addition. Proof. What is the proof? A. As in Simple Multiplication More Exercises for the Slale. 2. At 5 s. 6 d. a gallon, what will 2 gals. of rum cost ? A 11 8. 3. At 2 s. 6 d. 1 qr. a quart, what will 2 qts. of brandy cost? (5-0-2) What'will 3 qts. ? (7-6-3) What will 4 qts.? (10-1) What will 5 qts. ? (12-7-1) What will 6 qts. (15-1-2). A. 2£. 10 s. 5d 4. How much wine in 7 bottles, each containing, 2 qts. 1 pt: 2 gills? (4-3-0-2) How much in 8 bottles ? (5,-2) In9 ? (1-0-1-2; In 10? (6-3-1) In 11? (7-2-0-2). A. 30 gals, 3 qts. 1 pt. 2 gills. 5. What is the weight of 3 doz. silver spoons, each doz. weigh mg 2 lbs.6 oz. 12 pwts. 3 grs.? (7-7-16-9) What will 4 doz. weigh? (10-2-8-12) What will 5 doz. ? (12-9-6-15) What will 6 doz.? 115-3-12-18). A. 45 lbs. 10 oz. 18 pwts. Ogrs. 6. Bought 4 loads of hay, each load weighing 1 T. 10 cwt. ? qr9. 20 lhs. 5 oz. 15 drs.; what was the weight of the whole? (6-2-2-25-7-12) What would be the weight of 5 loads : (7-13-1-17-13-11) Of 11 loads ? (16-17-2-0-1-5) Of 12 loads ? (138-0-20-7-4). 4. 49 T. 1 cwt. 3 qrs. 7 lbs. 14'oz. 7. At the rate of 36 lea. 2 m. 3 fur. a day, how far wili a veseel siil in 6 days ? (220-2-2) In 15 days : (551-2-5) In 10 days? (367-2-6) In 9 days? (331-0-3.) .4. 1471 lea. 2 m. 8. In 8 bales of cloth, each bale containing 12 pieces, cacb Dioce 27 yds. 1 gr. 2 na., how many yards ? A. 2628 yds. OOMPOUND DIVISION. 1XXXIII. 1. William had 2 qts. 1 pt. of walnuts, which bo wished to divide equally among his two little brothers now many must he give each? 2 fámes bought 2 books for 2 s. 6 d.; how much did he pay Apiece? 3. If you pay 1 s. 6 d. for 2 inkstands, how many shillings would that he apiece ? 4. A niån bought 4 lambs for 6 shillings; how many pence did he pay apiece ? 5. William has 3 piss. 4 qts. of walnuts, which he wishes to put into 4 little baskets, each of which will hold 7 qts; will inis baskets hold all his walnuts, or not? and inform me how you do it. 6. 3 men have 4 gals. 2 qts. of cider allowed thom every day: how much is that apiece? 7. Ilow many pence is $ of 1 s.? of 2 8.? $ of 38 ? fofi s. ô d.? 1 of 1 s. 3 d.? $ of 1 s. 6 d.? $ of 2 s. 68.? 4 of 1 d.? * of 1 d. 2 qrs. OPERATION. 12 8. Q. What is this, which you hare now been doing, called? A. Compound Division. Q.' IVherein does it differ from Simple ? A. Simple consis[s of only one denomination ; Compound, of more than onc. Q. What, then, is the process called, by which we find how many times one number is contained in another of differeni denominations ? A. Compound Division. Operation by Slate illustrated. 1. A man bought 2 loads of hay for 15£ 3 s. 8 d.; how much was that a load! How do you get the 7£ in the answer A. I begin as in Short Division of whole £ nun bers, and say, 2 is contained in 15£, d. 7 (£) times, änd 1€ over, writing down 2) 15 3 8 tho 7 times. What do you do with the 1£ aver » Ans. £ 11 10 A. 1£= 20 s., which I join or carry to the 3s., making 23 s. How do you proceed, then, to get the il s. A. I say, 2 in 23, 11 times, and I s. over, writing down the 11 s. underneach. How do you get the 10 d.? A. The 1 s. over being equal to 12 d., I join or carry it to 8d., making 20 d. ; then, 2 in 20, 10 Limes. From these illustrations we derive the following: RULE. 1. At which hand 'do you begin to divide, and hv dò yox procced. A. With tho highesi onomation, and it vide as * Simple Division. II. If you have a remainder, how do you proceed? A. Find how many of the next lower denomination this remainder is equal to, which add to the next denomination; after which divide as in whole numbers. Proof. What is the proof? A. The same as in Simple Di vision. More Exercises for the Slate. 2. If 8 tons of hay cost 40£ 14 8. 8 d., what will 1 ton cost? 4. 5£ 1 s. 10 d. 3. If Il gals. of brandy cost 5£ 16 s. 5 d., what will 1 gallon Cost A. 10 s. 7 d. 4. If a man spend 60£ 13 s. 4 d. a week, how much is that a day? 4. 8t 13 s. 4d. 5. If I cwt. of rice cost 2 63.8 d., what will 1 lb. cost ? A 0£ 0 3. 5 d. 6. You have 312 Is. 6 d. to be divided equally among 2 men, how mucit would it be apiece (15-149) How much would it be apiece to be divided among 3? (10-9-10) Among 6? (5-4-11) 3. 31.5936d. T. Livide ? quis. Its by #: (0-3-1) by 5; (1-2) by 10; (0-1) Drive 6 zeres ? mus, lo rods, by T; (13-3-8) by 8, SYS. 3 seres 3 roods, s rods. Pre ne izveg Rules. Ty mahes riz. one, two arriveasy thousand, nino. Didlar 57} cents, saule cost me? 10 How many dollars in 300.£? In 200£ ? A $4000. 15. At 2 cents an inch, what will 1 yard of cloth cost ? A 72 cents. 16. Reduce 1 tun to gills. A. 8064 gills. 19. How many barley-corns will reach across the Atlantic Ocean, allowiny it to be 3000 miles ? 1. 570240000. 20. How many times will a watch click in 20 years, if it click at the usual rate of 60 times in a minute ? A. 631152000. 21. A father left legacies to his children as follows: to Thomas, 75£ 14 s. 6 d., to William 3 times as much as Thomas, to his daughter Mary as much as Thomas, and to Susan, his youngest child, as much us all the rest, lacking 20£ 13 s. 8 d., how much did cach receive ? A. Williain 227£ 38. O d., Mary 112€ 12 s. 5 d., Susan 294£ 16s. 9 d. Mr. Charles Testy To Lewis P. Child, Dr. ton of Hay, at 4 s. 6 d. a hundred, £25 18 s. 38 Halifax, April 1, 1827. Receive payment, Lewis P. Child. FRACTIONS. 1 XXXIV. 1. If one third (!) of an apple cost 2 cents, what will å whole apple cost? 2 If one third cost 3 cents, wilde will a wholo one costi one third cost 4 cents, what will one whole applo cost ? I third cost 6 cents ? 8 cents ? I conts? 20 cents? 50 contri cents ? II. If you have a remainder, how do you proceed? A. Find how many of the next lower denomination this remainder is equal to, which add to the next denomination; after which divide as in whole numbers. Proof. What is the proof? A. The same as in Simple Di vision. More Exercises for the Slate. 2. If 8 tons of hay cost 40£ 14 s. 8 d., what will 1 ton cost? A. 5£ 1 s. 10 d. 3. If11 gals. of brandy cost 5£ 16 s. 5d., what will 1 gallon cost ? A. 10 s. 7 d. 4. If a nian spend 60£ 13 s. 4 d. a week, how much is that a day? A. 8£ 13 s. 4 d. 5. If 1 cwt. of rice cost 2£ 6 s. 8 d., what will 1 lb. cost ? A 0£ 0 s. 5 d. 6. You have 31£ Is. 6 d. to be divided equally among 2 men, how much would it be apiece? (15-14-9) How much would it be apiece to be divided among 3? (10-9-10) Among 6? (5-4-11) .4. 31£99. 6 d. 7. Divide 2 gals. 2 qts. by 4; (0-2-1) by 5; (1-2) by 10 ; (0-1) by 2; (1-1). A. 2 gals. 2 qts. 1 pt. 8. Divide 96 acres 2 roods, 16 rods, by 7; (13-3-8) by 8, 112-0-12) by 12; (8-0-8). A. 33 acres, 3 roods, 28 rods. Questions to exercise the foregoing Rules. 1. What is the sum of the following numbers, viz, one, two thousund, thirty thousand, four millions, twenty thousand, nino. leen, four hundred millions ? A. 404052020. 2. Bought a coat for 15 dollars, a vest for 1 dollar 37 cents, a pair of boots for 6 dollars 12; what did the whole cost me ? A. $22,50. 3. Bought a horse for $75, and sold him for 37} cents less thar he cost me ; what did I get for him? A. $74,62,5. 4. Wat will 3200 yards of tape come to at 6 cents, or It of a dollar, a yard” (200) At 124 cents, or $ of a dollar? (400) Al 25 cents, or of a dollar ? (800). A. $1400. 5. How many yards in 31557600 rods? "A. 173566800. 6. How many years in 31557600 seconds, allowing the year to contain 3054 days ? A. 1 year. 7. At 1 cents a gill, what will 1 tun of wine cost? A. $ 322,56. 8 How much wine can be bought for $322,56, at 4 cents : gill? 4. 1 tun. 9. How many rods in 1100 yds.? In 3300 yds.? 9. 800 rode |