Ans 7200 1920. 1080. Ans. 256. 1008. 2016, 252. 2. 33. Bring 45 acres to poles. 34. Bring 12 acres to poles. 35. Bring 27 roods to poles. Liquid Measure. 36. Bring 32 gallons to pints. 37. Bring 4 hogsheads to quarts. 38. Bring 1 hogshead to gills. 39. Bring 1 barrel to pints. 40. Bring 504 pints to barrels. Dry Measure. 41. Bring 14 bushels to pecks. 42. Bring 1664 quarts to bushels. 43. Bring 1152 pints to bushels. 44. Bring 84 bushels to quarts. 45. Bring 70 bushels to pints. Time. 46. Bring 7 weeks to hours. 47. Bring 2 days to minutes. 48. Bring 11 days to seconds. 49. Bring 32 weeks to hours. 50. Bring 47 years to days. 51. Bring 259200 seconds to days. Ans. 56 52. 18. 2688, Ans. 1176. 2880. 950400. 5376. 17155. Promiscuous Questions. 52. Bring 15 years to weeks. 53. Bring 1 mile to inches. 54. Bring 97 leagues to poles. 55. Bring 88 degrees to miles. 56. Bring 4730 yards to inches. 57. Bring 400 pints to gallons. 58. Bring 6 hogsheads to quarts. 59. Bring 1800 minutes to hours. 60. Bring 50 yards to nails. 61. Bring 13lbs. avoirdupois to drams. 62. Bring 6784 drams to pounds. 63. Bring 1 ton to drams. 64. Bring 15 years to seconds. 65. Bring 1664 pints to bushels. 66. Bring 90 furlongs to yards. 67. Bring 47 acres to poles. 68 Bring 48 poles to inches. Ans. 780. 63360. 93120. 6116. 170280. 50. 1512. 30. 800. 3328. 26.5. 573440. 473040000. 26. 19800. 7520 9504 69. Bring 4 signs to seconds. Ans. 432000 70. Bring 7 hogsheads to gallons. 71. Bring 27 barrels to pints. 72. Bring 8 miles to yards: 73. Bring 60 poles to inches. 74. Bring 1478 pints to gallons. 75. Bring 7644 inches to yards. 76. Bring 82800 seconds to hours. 77. Bring 2764 ounces to cwt. 78. Bring 87960 hours to weeks. 79. Bring 116424 cubic inches to tons. 80. Bring 4014489600 square inches to square acres. SHORT PRACTICAL EXAMPLES, APPLICABLE TO REDUCTION AND DECIMALS. 1, What cost 4 lbs. sugar 3. What cost 15lbs. at 161c. at 12c. per pound ? per pound? 163 4 X 73_c. Ans. 70 2.42 31 87 of 11 D2.501 Ans. 5. What cost 5 yards at D2.25 per yard ? Ans. D11.25. 6. What cost 63 yards at D2.50 per yard ? D16.25. 7. What cost 5] lbs. at 12£c. per pound? 683c. 8. What cost 252 lbs. at 17c. per pound ? 14.37 9. What cost 7 galls. 3 qts. at 62 c. per gall. ? D4.84.375. 10. What cost 2 qts. 1 pt. at 17{c. per quart ? 43c. 11. What cost 2} cwt. at 14.50 per cwt. ? D11.25. 12. What cost 5 cwt. I qr. 14 lbs. at D5 per cwt. ? D26.87.5. 13. What cost 6% cwt. 7 lbs. at 14.50 per cwt. ? D30.65 14. What cost 97 lbs. at 75c. per lb. ? Ans. D72.75 15. What cost 49 lbs. at 12}c. per lb. ? 16.12 16. What cost 42} lbs. at 37 c. per lb. ? D15.933 17. What cost 6.87 lbs. indigo at D2.25 per lb. ? D15.453. 18. What cost 12 bushels at D1.25 per bushel ? D2.183. 19. What cost 3 pecks at D1.50 per bushel ? 11.12 20. What cost } bushel at D1.37} per bushel ? .45.8. 21. What cost i peck clover-seed at D6.25 per bush.? D1.561. 22. What cost 2 galls. 1 pt. at D1.121 per gall. ? 12.39.06. 23. What cost 1} tons of hay at D17.50 per ton ? D26.25. 24. What will 1 cwt. 1 qr. cost at 6c. per Ib. ? D8.40. 25. What will 2 cwt. 17 lbs. cost at 6.5c. per 1b. ? D15.66.5. 26. What will i bush. 3 pecks cost at 7c. per qt. ? 13.92. 27. What will 1 cwt. 12 Ibs. cost at 2 c. per oz. ? D49.60. 28. What will 1 cwt. cost at 3 c. per dram? D1003.52. 29. If of a yard cost of a D., how much will 17 yds. cost ? 30. If D. will pay for of a yard of riband, how many yards can you buy for D4 ? for D12? for D20 ? for D26 ? REVIEW What things are weighed by Avoirdupois Weight? What are the denominations? Repeat the table. How do they weigh in the principal cities ? Ans. By the 100 lbs. What is the use of Troy Weight? Repeat the table. When is Apothecaries' Weight used, and for what purpose ? When is Long Measure used? What are the denominations ? Repeat the tables, &c. · For what is Land Measure used ? What is a square ? Ans. A figure bounded by four equal sides, or lines, and whose angles are all equal, or right angles. What is a square number? Ans. Any number multiplied into itself, as 4X4=16, &c. How can you find the number of small squares contained in a large square? What chain is used in surveying land ? How long is it? How is land generally estimated ? When is Solid or Cubic Measure used ? What are the denominations ? How many inches in a cubic foot? How many feet in a cord of wood ? in a quarter of a cord ? How many cubic inches in a gallon? What are the dimensions of a bushel ? Time. Repeat the table. Which of the months have 30 days, and which 31 days ? For what is Circular Measure used ? How many things make a dozen ? How many make a score . How many sheets make a quire of paper? How many quires make a ream? How many sheets are there in 17 reams? How many kinds of Reduction are there? What are they called ? For what purpose is Reduction used? What is Simple Reduction? When high denominations are to be brought to lower denominations, how do you proceed? What is this kind of Reduction sometimes called ? When low denominations are to to be brought higher, how will you proceed? What is this called? What is the rule ? How can you prove Reduction ? ADDITION OF DIFFERENT DENOMINATIONS. When it is required to add together several numbers of different denominations, such as pounds, ounces, &c., for the purpose of finding the sum, or amount total, it has generally been designated as Compound Addition; or, by some, Denominate Numbers, which signifies" to name,” and Denomination, which signifies a name given to a thing, title, &c., either of which may be correct, as it is unimportant what the title is, provided the subject is understood, although we have given the last-mentioned 'the preference. The Cwt. avoirdupois (112lbs.) has been in use many years, but is not so much used of late, as the merchants in the principal cities have substituted the 100lbs. net weight for the 112lbs. avoirdupois. This change will be attended with many advantages, it being by far the most agreeable and expeditious method of computation, as it could easily be reduced to a system of decimal calculations, and the division of the 100lbs. into 10ths; and this system should extend to LENGTH, and our weight, measure, &c., would correspond with our currency, which may, and probably will, some day not far distant, be the case. RULE. 1. Write down the numbers so that each denomination may stand directly under each other, leaving a small space between them. 2. Add the right-hand denomination, the same as in Simple Addition. 3. Then divide that amount by as many as it requires of that denomination to make one in the next. 4. Set down the remainder under that denomination, and carry the quotient to the next denomination, and add it in; if there be no remainder, set down a cipher. 5. Continue in this way through to the last denomination, which add, the same as in simple addition, and set down the whole amount. Proof': the same as in whole numbers. EXAMPLES, 10 20. 4. 28. 16. 16. Explanation. This example bec T. cwt. qrs. Ibs. oz. dr. longs to avoirdupois weight, but the 2 3 2 11 6 8 same general rule will hold good in 4 1 3 16 11 12 all cases of compound numbers. The 2 4 0 18 10 14 first denomination at the right hand is drams, which add, the same as in 8 9 2 18 13 2 simple addition, and the amount is 34; this is divided by 16, because 16 drams make 1 oz., and we have 2 ounces in the quotient, and 2 drs. over ; set down the 2 drs. and carry the 2 oz. to the de nomination of that name, which add in, and it will make 29 oz. ; divide the 29 oz. by 16, to get the pounds, and it will give 1 lb. and 13 oz. over ; set down the 13 oz., and carry the 1 lb, to the next denomination ; then add that denomination, and it will give 46 lbs.; divide the lbs. by 28, to bring them to quarters, and you have 1 qr..and 18 lbs. ; set down the 18 lbs., and carry the 1 qr. to the denomination of that name, which add in, and you have 6 qrs., which divide by 4, because 4 qrs. make 1 cwt., and you have 1 cwt. and 2 qrs. ; set down the 2 qrs., the 1 cwt. to the next denomination, and add it in; you will then have 9 cwt., there being none to carry now, because it is less than a ton; then add and set down all of the next denomination, you have the sum total. 1. lbs. oz. 2. lbs. oz. 238 6 342 10 137 4 320 0 and carry 4X 1335 8=1335.5 at 4c. 1038 4-1038.25 at 5c. 5 X D.53.42.0 1.51.91.25 AVOIR DUPOIS WEIGHT. TROY WEIGHT. 3. T.cwt.qr. Ib. 4. cwt.qr.lb. oz. 5. Ib. oz. dwt. 6. Ib. oz. dwt. gr. 3 19 3 27 6 2 18 12 93 11 18 27 9 16 18 2 12 1 12 3 1 14 8 6 0 1 20 7 4 11 10 5 000 4 0 16 7 14 4 12 24 6 11 19 3 2 10 5 0 10 5 72 11 3 18 5 11 16 3' 3 9 6 16 4 18 10 T.17 00 3 21 16187 3 14 |