DENOMINATE NUMBERS 279. To ascertain the quantity of anything, or to measure it, is to find how many times it contains some established unit called the unit of measure. Thus, to measure the corn in a bin is to find how many times the whole quantity of corn in the bin contains some unit measure, as 1 bushel, or 1 hundredweight. 280. A concrete number in which the unit of measure is established by law or custom is called a denominate number. 16 bushels is a denominate number; also 16 bushels 3 pecks. 281. A denominate number that is composed of units of one denomination only is called a simple denominate number. 16 bushels is a simple denominate number. 282. A denominate number that is composed of units of two or more denominations that are related to each other is called a compound denominate number. 16 bushels 3 pecks is a compound denominate number. Reduction 283. Easy reductions. EXERCISES 1. Reduce 72 inches to feet; to yards. 2. Reduce 1 yards to feet; to inches. 3. How many inches are there in 1 yd. 1 ft.? Reduce: 4. ğ lb. to ounces. PROG. COMPL. AR.- - 12 9. day to minutes. 10. .75 gal. to pints. 11. .121 bu. to quarts. 12. 5 hr. to minutes. 13. 710 to minutes. WRITTEN EXERCISES 284. 1. Reduce 5 hr. 15 min. 12 sec. to seconds. 2. Reduce 18,912 seconds to hours, minutes, and seconds. 28. The highest mountain in the world, Mt. Everest, is 29,002 feet high. What is its height in miles and feet? 29. I bought a 5-gallon can of maple sirup for $5. At what price per pint must I sell it to gain $1.40? 30. If it takes a pint of ice cream to serve 3 persons, how many persons will 4 gal. 3 qt. serve? 31. A dealer paid $4.75 for a crate containing 1 bu. 2 pk. of strawberries put up in quart boxes. If he sold them at 15¢ per box, how much did he gain? 32. When a train is running 45 miles an hour, what is its rate in feet per second? 33. When an automobile is running 44 feet per second, what is its rate in miles per hour? 34. The regulation military pace is a step 30 in. long, 2 steps per second. If a company of soldiers should keep this pace for 3 hr. 40 min., how many miles would they march? 35. The Park Row building, which contains 29 stories, is 309 feet high. Express in feet and inches the average height of a story. 2. What decimal part of an hour is 401⁄2 min.? 5. Of a yard is 1 ft. 11⁄2 in.? 8. Of a long ton is a short ton? 9. Of a cubic yard is 20 cu. ft. 432 cu. in.? What decimal part 10. Of a mile is 1293.6 ft.? 11. Of a ton is 7 cwt. 64 lb.? 12. Of an hour is 1 min. 48 sec.? 13. Of a week is 2 days 10.8 hours? 14. Of a right angle is 4° 30′? 15. Of a square mile is 230.4 acres? Reduce : 16. 28.5 yd. to inches. 17. 3.1875 bu. to quarts. 18. 2.428 tons to pounds. 19. .96875 of a mile to feet. 20. gal. to quarts and pints. 16 21. 39' 221 to a fraction of a degree. 22. of a right angle to degrees and minutes. 23. cu. yd. to cubic feet and cubic inches. 24. .9 of a day to a compound denominate number. |