Both methods will obtain the same result; the former is generally used. 1. When hours are to be obtained, we reckon from 12 at night, and if minutes and seconds, we write them still at the right of hours. 2. In finding the time between two dates, or in computing interest, 12 months are considered a year, and 30 days a month. When the exact number of days is required for any period not exceeding one ordinary year, it may be readily found by the following TABLE, Showing the number of days from any day of one month to the same day of any other month within one year. August.. 273 October.... 153 184 212 243 November If the days of the different months are not the same, the number of days of difference should be added when the earlier day belongs to the month from which we reckon, and subtracted when it belongs to the month to which we find the time. If the 29th of February is to be included in the time computed, one day must be added to the result. EXAMPLES FOR PRACTICE. 2. George Washington was born Feb. 22, 1732, and died Dec. 14, 1799; what was his age? Ans. 67 yr. 9 mo. 22 da. How can the number of days, if less than a year, be obtained? 3. How much time has elapsed since the declaration of independence of the United States? 4. How many years, months, and days from your birthday to this date; or what is your age? 5. How long from the battle of Bunker Hill, June 17, 1775, to the battle of Waterloo, June 18, 1815? Ans. 40 yr. 1 da. 6. What length of time will elapse from 20 minutes past 2 o'clock, P. M., June 24, 1856, to 10 minutes before 9 o'clock, A. M., January 3, 1861 ? Ans. 4 yr. 6 mo. 8 da. 18 h. 30 min. 7. How many days from any day of April to the same day of August? of December? of February? 22 do 244 da 34 8. How many days from the 6th of November to the 15th of April ? Ans. 160 days. 9. How many days from the 20th of August to the 15th of the following June? Ans. 299 days. 3. From £ take of of a shilling. Ans. 1 mi. 193 rd. 11 ft. 7.9 in. + 5. From 8 cwt. take 274 lb. Ans. 8 cwt. 62 lb. 94 oz. 6. From of a week take of a day. Ans. 1 da. 4 h. 48 min. Give explanation of the process of subtracting denominate fractions. 7. Two persons, A and B, start from two places 120 miles apart, and travel toward each other; after A travels, and B, of the distance, how far are they apart? Ans. 41 mi. 289 rd. 8 ft. 7 in. 8. From a cask of brandy containing 96 gallons, leaked out, and of the remainder was sold; how much still remained in the cask? Ans. 25 gal. 2 qt. 34 gi. MULTIPLICATION. 222. 1. A farmer has 8 fields, each containing 4 A. 107 P.; how much land in all? OPERATION. A. P. 37 8 56 ANALYSIS. In 8 fields are 8 times as much land as in 1 field. We write the multiplier under the lowest denomination of the multiplicand, and proceed thus: 8 times 107 P. are 856 P., equal to 5 A. 56 P.; and we write the 56 P. under the number multiplied. Again, 8 times 4 A. are 32 A., and 5 A. added make 37 A., which we write under the same denomination in the multiplicand, and the work is done. RULE. I. Write the multiplier under the lowest denomination of the multiplicand. II. Multiply as in simple numbers, and carry as in addition of compound numbers. 63 36. tainin 118. 35. 8. In 6 barrels of grain, each containing 2 bu. 3 pk. 5 qt.. how many bushels? Ans. 17 bu. 1 pk. 6 qt. 9. If a druggist deal out 3b 4 3 13 20 16 gr. of medicine a day, how much will he deal out in 6 days? 2, 3, 1, 2 10. If a man travel 29 mi. 150 rd. 15 ft. in 1 day, how far will he travel in 8 days? 235 mi 247rd 4's, ft 11. If a woodchopper can cut 3 Cd. 48 cu. ft. of wood in 1 day, how many cords can he cut in 12 days? Ans. 401 Cd. 12. What is the weight of 48 loads of hay, each weighing 1 T. 3 cwt. 50 lb.? 13. If 1 acre of land produce 45 bu. 3 pk. 6 qt. 1 pt. of corn, how much will 64 acres produce? Ans. 2941 bu. 14. How much will 120 yards of cloth cost, at £1 9s. 81d. per yard? گی 15. If $80 will buy 4 A. 146 P. 20 sq. yd. 3 sq. ft. of land, how much will $4800 buy? Ans. 295 A. 10 sq. yd. 16. If a load of coal by the long ton weigh 1 T. 6 cwt. 2 qr. 26 lb. 10 oz., what will be the weight of 73 loads? Ans. 97 T. 11 cwt. 3 qr. 11 lb. 10 oz. 40.46 -45 17. The sun, on an average, changes his longitude 59' 8.33" per day; how much will be the change in 365 days? J 18. If 1 pt. 3 gi. of wine fill 1 bottle, how much will be required to fill a great gross of bottles of the same capacity? 6. DIVISION. ་ 223. 1. If 4 acres of land produce 102 bu. 3 pk. 2 qt. f wheat, how much will 1 acre produce? OPERATION. bu. pk. qt. pts. 4) 102 3 2 25 2 6 1 ANALYSIS. One acre will produce as much as 4 acres. Writing the divisor on the left of the dividend, we d;vide 102 bu. by 4, and obtain a quotient of 25 bu., and a remainder of 2 bu. We write the 25 bu. under the denomination of bushels, and reduce the 2 bu. to pecks, making 8 pk., and the 3 pk. of the dividend added makes 11 pk. Dividing 11 pk. by 4, we obtain a quotient of 2 pk. and a remainder of 3 pk.; writing the 2 pk. under the order of pecks, we next reduce 3 pk. to quarts, adding the 2 qt. of the dividend, making 26 qt., which divided by 4 gives a quotient of 6 qt. and a remainder of 2 qt. Writing the 6 qt. under the order of quarts, and reducing the remainder, 2 qt., to pints, we have 4 pt., which divided by 4 gives a quotient of 1 pt., which we write under the order of pints, and the work is done. |