7. £56 4s. 104d. to farthings. 9. £3. 5s. 7 d. to farthings. 11. £to pence. 12. £ to farthings. 13. £ to integers of lower denominations. 17. $17.28 to cents. 18. 10 eagles to mills. 19. 19 francs to decimes. 20. 19 francs 8 decimes to centimes. REDUCTION ASCENDING. INDUCTIVE STEPS. 1. How many pence in 8 farthings? In 12 farthings? In 24 far.? 2. How many shillings in 12d.? In 36d.? In 108d.? 3. 40 shillings equal how many pounds? 60 shillings? 4. If you take £2 out of 45s., how many shillings remain? 5. If you reduce 45s. to pounds, what is your result? Reduction ascending changes a denominate number from a lower to a higher denomination without changing its value. EXERCISES. 1. How many pounds are there in 8365 pence? 2. Reduce d. to the fraction of a pound. Divide by the numbers of the scale, beginning with the number of the given denomination that makes one of the next higher, and continuing until the required denomination is reached. 3. Reduce s. to a fraction of a pound. 4. Reduce far. to a fraction of a shilling. 5. Change 495d. to units of higher denominations. 6. Change 4257 shillings to pounds. 7. Reduce 4697d. to pounds. 8. Reduce 5967s. to pounds. 9. Reduce 6969 far. to pounds. 10. Reduce 4995d. to pounds. 11. Reduce 5796 far. to shillings. 12. Reduce 59,678 far. to pounds. 13. Reduce £4 15s. 6d. to far. 14. Reduce 59,607 far. to pounds. 15. Reduce 25,392 far. to £, s., d. 16. Reduce £26 to dollars. 17. Reduce $567 to pounds. 18. Reduce $394.45 to pounds. 19. Reduce $48.60 to pounds. 20. Reduce £36 to dollars. 21. Reduce 25,488 far. to £, s. and d. 22. Reduce $973.30 to pounds. 23. Reduce $1,216,625 to pounds. 30. Reduce 5968 centimes to francs. 31. Reduce centime to the fraction of a franc. MEASURES. 1. Extension has three dimensions,-length, breadth, and thickness. 2. These dimensions are the origin of three different kinds of Measures,-Linear Measures, Surface Measures, and Measures of Volume or Capacity. 1. In 12 rd. 3 yd. 2 ft. how many feet? 4. Reduce 5 miles to inches. 5. In 5 mi. 2 fur. 4 yd. how many feet? 8. Reduce 3 mi. 4 yd. 2 ft. to feet. 14. Reduce 9 miles 54 ch, to links, 15. Reduce 11 mi. 68 fathoms to fathoms. 16. Reduce 43,000 1. to miles. 17. Reduce 79,400 1. to miles. 18. Reduce 9968 fathoms to miles. 19. In 481,401,716 in. how many degrees? 20. If a horse is 15 hands high, find his height in feet. 21. Change 29,763 1. to higher denominations. 22. How many inches in 2 degrees at the equator? 23. Reduce 677,653 in. to higher denominations. 24. Reduce 7912 mi. (the diameter of the earth) to inches and to paces. 25. A ship was sailing in 12 fathoms of water. How deep was the water? SURFACE MEASURES. 1. An angle is formed by two straight lines drawn from the same point. 2. When a line is drawn from a point between the ends of another line, making the two angles equal, the angles are called right angles. 3. A Rectangle is a figure having four sides and four right angles. 4. A Square is a rectangle with four equal sides. |