441. 1. From 25 rd. 2 yd. 2 ft. 6.3 in., subtract 12 rd. tyd. 11.6 in. OPERATION. rd. yd. ft. in. 25 2 2 6.3 12 4 0 11.6 12 3 (1) 1 6.7 = 1 6 ANALYSIS.-Write the numbers so that units of the same denomination stand in the same column, and begin at the right to subtract. Since 11.6 in. cannot be subtracted from 6.3, take 1 ft., equal to 12 in., from the 2 ft., leaving 1 ft. and add it to the 6.3 in., making 18.3 in. Subtract 11.6 in., and write the remainder, 6.7 in., under the inches. Since 1 ft. has been taken from 2 ft., subtract 0 ft. from 1 ft., and write the remainder 1 ft. under the feet. Since 4 yd. cannot be taken from 2 yd., take 1 rd., equal to 5 yd., from 25 rd., leaving 24 rd., and add it to the 2 yd., making 7 yd. Subtract 4 yd. from 71⁄2 yd., and write the remainder, 31 yd., under the yards. Since 1 rod has been taken from 25 rd., subtract 12 rd. from 24 rd., and write the remainder, 12 rd., under the rods. The yd., reduced to feet and inches, and added to 1 ft. 6.7 in. of the remainder, gives 12 rd. 4 yd. .7 in. nation (434), then subtract the less from the greater, and find the value of their difference in integers of lower denominations. 3. From a pile of wood containing 42 Cd. 5 cd. ft., take 16 Cd. 6 cd. ft. 12 cu. ft., and how much remains? 4. From the sum of of 32 mi. and 174 rd., take 120 rd. Find the difference between 5. 8% cwt. and 483 lb. 7. lb. and 5 lb. 4 oz. 8 pwt. 8. .659 wk. and 2 wk. 3§ da. 10. lea. and mi. gross and doz. 11. 12. 32 1 and 34. 13. .9 da. and wk. 14. A. and 84.56 P. 15. If from a hhd. of molasses 14 gal. 1 qt. 1 pt. be drawn at one time, 10 gal. 3 qt. at another, and 29 gal. 1 pt. at another, how much will remain ? 16. Of a farm containing 250 A., two lots were reserved, one containing 75 A. 136.4 P., and the other 56 A. 123.3 P.; the remainder was sold at $624 an acre. What did it sell for? 17. From 1 T. 11 cwt. 30 lb., take of a long ton. 18. From a pile of wood containing 125 Cd., was sold at one time 26 Cd. 7 cd. ft.; at another, 30 Cd. 4§ cd. ft.; at another, 37 Cd. How much remained? 442. To find the interval of time between two dates. 1. How many yr., mo., da., and hr., from 3 o'clock P. M. of May 16, 1864, to 9 o'clock A. M. of Sept. 25, 1875 ? 1. When hours are to be obtained, reckon from 12 at night, and of minutes and seconds, write them still at the right of hours. 2. In finding the difference of time between two dates, 12 mo. are usually considered a year, and 30 days a month. 3. When the time is less than a year, the true number of days in each month and parts of a month is added. 4. The day on which a note, draft, or contract is dated, and that ɔn which they mature, are not both included. The former is generally omitted. 2. The war between England and America was commenced April 19, 1775, and peace was restored Jan. 20, 1783. What length of time did the war continue? 3. The American Civil War began April 11, 1861, and closed April 9, 1865. What time did it continue? 4. How long has a note to run that is dated Jan. 16, 1873, and made payable July 10, 1875 ? 5. A note dated May 28, 1875, was paid Feb. 10, 1876. What length of time did it run? 6. A person started on a tour of the world at 9 o'clock A. M., Sept. 3, 1874, and returned to the same depot at 3 P.M., July 15, 1876. What time was he absent ? 7. How many years, months, and days from your birthday to this date; or, what is your age? 8. How many days from June 20th to the 10th of Jan. following? 9. What length of time elapsed from 12 o'clock M., Jan. 10. 1876, to June 16, 9 o'clock A.M.? 10. What length of time elapsed from 16 min. past 10 o'clock A. M., July 4, 1873, to 22 min. before 8 o'clock P.M., Dec. 12, 1875 ? 11. What length of time will elapse from 40 min. 25 sec. past 12 o'clock M., April 21, 1875, to 4 min. 36 sec. before 5 o'clock P. M., Jan. 1, 1878? MULTIPLICATION. WRITTEN EXERCISES. 443. 1. Multiply 28 rd. 2 yd. 2 ft. by 7. OPERATION. 28 rd. 2 yd. 2 ft. 77 199 1 (1) 2 1 199 2 0 6 6 in. ANALYSIS.-Write the multi plier under the lowest denomination of the multiplicand, and multiply. 7 times 2 ft. are 14 ft., equal to 4 yd. 2 ft. Write the 2 ft. under the feet, and reserve the 4 yd. to add to the product of yards. 7 times 2 yd. are 14 yd., and 4 yd. added make 18 yd., equal to 3 rd. 14 yd. Write the 1 yd. under the yards, and reserve the 3 rd. to add to the product of rods. 7 times 28 rd. are 196 rd., and 3 rd. added make 199 rd., which write under the same denomination. Theyd. is equal to 1 ft. 6 in., which added to the product, gives 199 rd. 2 yd. 6 in. for the entire product. 1. The multiplier must be an abstract number. (103.) 2. When the multiplier is large and is a composite number, the work may be shortened by multiplying successively by its factors. (109.) 2. In 9 bbl. of walnuts, each containing 2 bu. '3 pk. 6 qt., how many bushels? 3. If a man cut 3 Cd. 36 cu. ft. of wood in 1 da., how many cords can he cut in 12 days? 4. Multiply 8 gal. 3 qt. 1 pt. 3.25 gi. by 96. 5. If 1 A. produce 42 bu. 1 pk. 5 qt. 1 pt. of corn, how many bushels will 64 A. produce? 6. Multiply O. 8 f39 f36 m 34 by 24. 7. What will 84 yd. of cloth cost, at £1 8s. 91d. a yd.? 8. If $80 will buy 3 A. 24 P. 20 sq. yd. 4 sq. ft. of land, how much will $4800 buy? 9. How many bushels of grain in 47 bags, each con ANALYSIS.-Multiplying the contents of 1 bag by 9, and the resulting product by 5, gives the contents of 45 bags, which is the com posite number next less 24 bu. 0 pk. 6 qt. in 9 bags. than the given prime num 5 2 ber, 47. Next find the contents of 2 bags, which, added to the contents of 45 bags, gives the contents of 45+2, or 47 bags. 10. If a load of coal by the long ton weigh 1 T. 6 cwt. qr. 26 lb. 10 oz., what will be the weight of 67 loads? 11. Multiply 4 yd. 1 ft. 4.7 in. by 125. 12. Multiply 7 T. 15 cwt. 10.5 lb. by 1.7. 13. At $1.37 a gallon, what will be the cost of 5 casks of wine, each containing 28 gal. 2 qt. 1 pt.? 14. A farmer sold 4 loads of oats, averaging 41 bu. 3 pk. each, at $.75 a bushel. What did he receive for the whole? DIVISION. 444. 1. Divide 56 lb. 9 oz. 12 pwt. by 6. OPERATION. lb. Oz. pwt. 6)56 9 5 12 ANALYSIS.-Write the divisor at the left of the dividend. The object is to find i sixth of a compound number. of 56 lb. is 9 lb. and a remainder of 2 lb. Write the 9 lb. in the quotient, and reduce the 2 lb. to ounces, which, added to 9 oz., make 33 oz. of 33 cz. is 5 cz. and a remainder of 3 oz. Write the 5 oz. in the quotient, and reduce the 3 oz. to pwt., which added to 12 pwt., make 72 pwt. of 72 pwt. is 12 pwt., which write in the quotient |