7. If your travelling expenses for one day are 48 c. 5 mills, how much will the travelling expenses for one year, or 365 days, amount to at that rate? A. $177,025. 8. How much will the travelling expenses for 2 years? (354050) For 3 years? (531075) For 5 years? (885125) For 6 years? (1062150) A. $2832,40. 9. For 7 years? (1239175) For 9 years? (1593225) For 10 years? (1770250) A. $4602,65. 10. What will 2 hogsheads of wine come to, at $32,50 for one hogshead? A. $65. 11. What will 3 hogsheads come to? (9750) What will 12? (39000) What will 15? (48750) A. $975. 12. What will 25 hogsheads come to? (81250) What will 35 hogsheads? (113750) 150 hogsheads? (487500) A. $6325. 30 100 16 100 13. If of a bank be worth $365,155, what is To worth? A. $730,31. 14. What is Too worth? (1095465) Too worth? (1825775) Too worth? (2190930) A. $5112,17. 15. What is 180 worth? (2921240) worth? (4381860) worth? (5477325) A. $12780,425. 16. What is worth? (5842480) worth? (7303100) worth? (9128875) A. $22274,455. 17. What is worth? (10954650) worth? (12780425) worth? (14606200) A. $38341,275, 18. What is worth (16431975) To worth? (18257750) To worth? (20083525) A. $54773,25. 19. What is worth? (21909300) worth? (23735075) o worth? (24465385) A. $70109,76. 20. What is 7 worth? (27386625) 7 worth? (28847245) worth? (32863950) 188 worth? (36515500) A. $125613,32. 79 50 DIVISION OF FEDERAL MONEY. ↑ XXVI. 1. You give 12 cents and 5 mills for 2 sticks of twist; how much is that for one stick? 2. If you give 2 dimes and 5 cents for 2 slates, how much are the slates apiece? 3. If 28 pounds of tea cost 28 dollars, what will 1 pound cost? What will 8 pounds? 5 pounds? 22 pounds? 4. If 20 cwt. of hay cost $40, what will 1 cwt. cost? What will 7 cwt. cost? 11 cwt.? 15 cwt.? 1 cwt., or 4 qrs. ? 2 qrs.? 1 qr., or 28 pounds? 14 pounds? 7 pounds? 3 pounds? 1. If 12 yards of cloth cost $175,50, what will 1 yard cost? come from? A. In dividing the cents, there is a remainder, which, by annexing a cipher, makes 60 mills, in which 12 is contained 5 times, that is, 5 mills. From this example we derive the following RULE. 1. How do you divide? A. As in Simple Division. II. What will the quotient be? A. The answer, in the lowest denomination of the dividend, which may then be brought into dollars. More Exercises for the Slate. 2. If you divide $35001,50 equally among 125 sailors, how many dollars will each have? A. $280,012. 3. If a bank be worth $30515,50, what is ʊ of it worth? A. $305,155. 4. If a vessel and eargo are valued at $20000, what is worth? A. $714,285+ A. 5. 16 men draw $2050,65 in a lottery; how much is each man's part, if it be equally divided among them? $123,165+ 6. If a man's salary be $3650,40 a year, what is that a day? A. 10 dollars, 1-mill-. 7. Bought 36 lb. of sugar for $10,50; what is that a pound? A. $,291-29 cents, 1 mill+. 8. If you buy 383 yards of broadcloth for $5036,50, what is that a yard? A. $13,15+. among 9. If a man's wages be $365,40 a year, or 52 weeks, what is that a week? A. $7,026+. 10. Divide $1000,60 equally 2 men (50030) Among 3 men. (333533) Among 4 men. (25015) Among 6. (166766) Among 8. (125075) A. 1375,824. 11. Among 10. (10006) Among 18. (55588) Among 25. (40024) Among 28. (35735) Among 35. Among 45. (22235) Among 60. Among 70. (14294) Among 85. Among 15. (66706) 12. (28588) (16676) Among 40. (25015) (11771) Among 95. (10532) Among 100. (10006) Among 150. (667) A. $53273+ 14. Among 200, (5003) Among 240. (4169) Among 360. (2779): Among 400. (2501) Among 550. (1819) A. $16,271+ 15 Among 17. (58858) Among 19. (52663) Among 89. (11242) Among 98. (1021) Among 199. (5028) A. 138 dollars, I mill-+ To multiply by, 1, 1, 51, &c. ¶XXVII. 1. How much is of 10? of 18 of 16? of 20? RULE. I. To multiply 4 by 2, we take 4, 2 times; to multiply by 1, we take 4, 1 time; and to multiply 4 by , we take 4, a time, that is, the half of 4, and to get this, it is plain that we must divide 4 by 2. From these remarks what appears to be the rule. for multiplying by 1, §, 1, &c.? A. Divide the multiplicand by the figure below the line. 2. How much is of 20? of 20? of 12? of 12? of 12? II. In these examples we divide by 5 to get of 20: then it is plain, that is 2 times as much as, that is, we multiply of 20, which is 4, by 2, making 8: but we might multiply 20 by the 2 first, and divide by the 5 afterwards; thus, 2×20=40÷5, 8 times, the same result as before: how, then, does it appear that we can proceed to multiply by &, I, 15, &c.? A. Divide the multiplicand by the figure below the line, and multiply this quotient by the figure above the line; or multiply first, and then divide. Exercises for the Slate. 1. What will 24 yards of cloth cost at 28 cents a yard? How do you proceed next? A. I get of 28, making 4, then multiply the 4 by 5, making 20. What do you do with the 20? A. I add it to 56, making 76. More Exercises for the Slate. 2. At 30 cents a bushel, what will 19 bushels of oats cost? A. $5,72. 3. Tell me how many yards 50 rods are, or multiply 50 by 5. A. 275. 4. What will 22 yards of cloth come to, at $11 a yard? (245) What will 22? (246) What will 2311? (260) 311? (42) 311? (351) 99? (1095) A. 2239. 5. What will 2 yards come to at $12 a yard? (33) What will 5? (66) 6 (80) 8? (105) 10? (122) 15%? (186) 25? (306) A. $398. 6. If a man's salary be $1200 a year, what will 2 come to? (2420) What will 3? (3630) 52%? 8888 (10710) 12888? (15598) A. $38398. years (6040) When the price is an ALIQUOT part of a dollar, ör, PRACTICE. ↑ XXVIII. 1. At 50 cents a bushel, what will 2 bushels of apples cost? What will 4 bushels? How much is of 4? How much is of 8? What will 8 bushels cost, then? How much is of 12? How much will 12 bushels cost, then? How much is of 40? What will 40 bushels cost, then? How much is of 100? What will 100 bushels cost, then? 2. At 25 cents a peck, what will 2 pecks of salt cost? Will 4 pecks cost? Will 8 pccks cost? How much is of 8? How much is of 16? Will 16 pecks cost, then? How much is of 20? Will 20 pecks cost, then? How much is of 400? Will 400 pecks cost, then? 3. What will 2 oranges cost, at 12 cents apiece? Will 4 oranges? Will 8 oranges? Will 16 oranges? How much is of 16? How much is of 24? What will 24 oranges cost, then? How much is of 80? Will 80 oranges cost, then? 4. At 64 cents a pint, what will 2 pints of ale cost? What will 4 pints cost? 8 pints? 16 pints? How much is of 16? How much is 16 of 32? Will 32 pints cost, then? Q. What part of a dollar is 50 cents? A.. Why? A. Because 2 times 50 are 100 c. = $1. Q. What part of a dollar is 25 cents? A. 4. Why? À Because 4 times 25 c. are 100 c.= = $1. Q. What are these even parts called? A. Aliquot Parts. Q. When, then, one number is contained in another exactly 2, 3, 4, &c. times, what is it called? A. An Aliquot Part. Q. What is the method of finding the cost of articles, by taking aliquot parts, usually called? A. Practice. Repeat the Table of the aliquot parts of a dollar. Cts. Cts. $ 2×50 100=i. 3×331=100=1. 4×25 =100=1. 5×20=100=1. 6X163=100=1. of a dollar, because RULE. I. From the illustrations now given, what appears to be a concise rule for calculating the cost of articles, when the price is an aliquot part of a dollar? A. Divide the number of gallons, yards, &c. by the number of aliquot parts which it takes of the price to make a dollar. II. What will the quotient be? A. The answer, in dollars. Q. For example, what would you divide by when the price is 50 cents? 33 cents? 25 cents? 20 cents? 163 cents? 12 cents? 10 cents? 64 cents? cents? Exercises for the Slate. 1. What will 360010 yards of cloth cost, at 12 cents a yard? OPERATION. 8) 360010,00 $45001,25, Ans. How do you get the divisor, 8? A. 12 cents = of a dollar. How do you obtain the 25 cents in the answer? A. I annex 2 ciphers for cents, and continue dividing. 2. What cost 2640 bushels of rye, at 50 cents a bushel? A. $1320. 3. At 25 cents a bushel, what will 4680 bushels of potatoes cost? (1170) Will 3600 bushels cost? (900) Will 4200 bushels cost? (1050) A. $3120. 4. At 64 cents, or of a dollar, what will 6400 yards of |