209. How many spoons weighing 8 pwts. can be made from 11 oz. of silver? SUGGESTION. Reduce both divisor and dividend to the lowest de..ination mentioned in either, then divide as in simple numbers. 210. A man feeds his horse five quarts of oats a day, how long will 13 bu. 3 pks. last him? 211. How many bottles, each containing 1 qt. 1 pt., can be filled from 36 gallons of vinegar? 212. How many packages, each containing 3 oz., can be filled from 136 pounds of pepper? (b.) Reduce of a mile to integral numbers of lower denominations. may be found by the process used in division of denominate numbers. REVIEW. winter months? What is time? (129.) Which the spring? Give the number of days in each. How is the year divided? Which are the Which the summer? Which the autumn? Write the table. (b.) ANAL. STEPS. —(1.) Change the fraction of a mile to rods. (2.) Change the fraction of a rod to yards. (3.) Change the fraction of a yard to feet (4.) Change the fraction of a foot to inches. (1.) Since in 1 mile there are 320 rods, in of a mile there are of 320 rods; or, 182 (2.) Since in 1 rod there are of yards; or, 44 yards. rods. yards, in of a rod there are (3.) Since in 1 yard there are 3 feet, in of a yard there are of 3 feet; or, 24 feet. (4.) Since in 1 foot there are 12 in., in of a foot there are of 12 in.; or, 1 inches. Reduce .5714 of a mile to integers of lower denominations. REVIEW.-What is meant by leap year? (125.) What is meant by July 4, 1876? What is meant by the Centennial? COMPOUND DENOMINATE NUMBERS. 243 3 feet there is 1 yard, in † of a foot there are as many are contained times in 4 of a foot; or, of a foot. 1 yards (5 yards) there is 1 rod, in of a yard my rods as yards are contained times in rod. at part of a rod is 4 yds. 2 ft. 5 in. ? nce 4 yds. 2 ft. 5 in. to decimal of a rod. CTED PROCESSES. of a 7 rds. 2 yds. 1 ft. to the fraction of a lecimal of a mile. part of a gallon is 3 qts. 2 pts. 3 gi.? -2 pks. 2 qts. bush. $1.60 X (bush.) = ? -.5625 bush. $1.60 X.5625 bush. =? will 3 qts. 1 pt. 2 gills of vinegar cost, at Con? .3 in. to the decimal of a rod. yd. taction of a rod. 7 yds. 2 ft. 8 in. to the decimal of a ion of a rod. is meant by currency? What is English money? (132.) Ive the coins and the value of each. What is the value of ency? How does the Canadian currency differ from U. S. v units make a dozen? (131.) Recite the entire table. NOTE. - It will be observed that the analysis of the reduction of denominate fractions is the same as that of denominate numbers. When the multiplier is a common fraction or a decimal, the word "of " is used instead of "times." 213. Change of a mile to integers of lower denominations. In the same way, change .3 of a mile. 214. Reduce of a rod to integers of lower denominations. In the same way, reduce .17 of a rod. 215. How many inches in .5 of a yard? In 2.7 of a foot? In 2 of a rod? 216. What is the sum of mile and rod? 217. What is the sum of .785 ton and 3.65 cwt. 218. Find the amount of lb. +23 oz. + pwt.; of .375 mi. +3.625 rd..275 yds. 219. What is the cost of 3 lbs. of gold, at $16 per oz.? 220. Bought 37.85 lbs. of gold-dust, at $0.80 per pwt.: what did it cost? What will lb. cost? 138. Reduction Ascending. (a.) Reduce 3 inches to the fraction of a rod. (b.) In the same way, reduce 3 inches to the decimal of a rod. ANAL. STEPS. - (1.) Reduce inches to the fraction of a foot. (2.) Reduce fraction of a foot to fraction of a yard. (3.) Reduce fraction of a yard to fraction of a rod. ANALYSIS (Process a).—(1.) Since in 12 inches there is 1 foot, in 3 inches there are as many feet as 12 inches are contained times in 3 inches; or, of a foot. REVIE What is a circle? (130.) Where is the center of a circle? What is meant by the circumference of a circle? By an arc? By a quadrant? By a diameter? Write the table. What is the use of angular measure? |