In many problems it is 72. Quotients to the Nearest Integer. required to get the quotient to the nearest integer, neglecting the remainder. Example 1. Divide 845921 by 389, finding the quotient to its nearest integer. On dividing we find a quotient of 2174 and a remainder of 235. Hence, 2175 Since the remainder is more than one half the divisor, 1 is added to the last figure in the quotient and the remainder is neglected. is the required quotient. Example 2. Divide 563190 by 874, finding the quotient to the nearest integer. On dividing we find a quotient of 644 and a remainder of 334. Since the remainder is less than one half the divisor, it is neglected and 644 is the required quotient. When the remainder is exactly equal to one half the divisor, it is customary to add 1 to the quotient. 73. Finding Averages. It is frequently required to find the average of several numbers. Thus, the average attendance in a school is found, for a week, a month, or even a year. Rule. To find the average of several numbers, divide their sum by the number of numbers. Example. In a certain school the attendance for the five school days of a week was 897, 882, 904, 906, 898. Find the average for the week. 897 904 906 898 5)4487 897,-2 Adding and dividing by 5, the quotient is 897 and the remainder 2. If it is required to get the average attendance to the nearest integer, 897 is the required result. ORAL EXERCISES 1. What is meant by the average of a given set of numbers? 2. How would you find the average weight of the boys in a class? WRITTEN EXERCISES In the following find the quotients to the nearest integer: Find the average to the nearest integer of each of the following sets of numbers : 10. 891, 736, 1078, 459, 1280, 936, 1006, 998. 11. 1980, 376, 2490, 549, 2180, 396, 1470, 456. 12. 98, 396, 475, 3891, 1280, 4370, 1520, 274. 13. 670, 94, 52, 74, 31, 47, 24, 391, 84, 3, 40. DRILL IN DIVISION Divide and test by casting out 9's. See § 67. In the following write down the quotients and remainders: Find the quotients in the following as in § 70: CHAPTER VI DRILL IN FUNDAMENTAL OPERATIONS 74. Necessity for Continued Drill. The practical business man must be ready at all times to perform the operations of addition, subtraction, multiplication, and division with considerable speed and practically absolute accuracy. To acquire such skill it is necessary to practice on these operations at short intervals extended over a long period of time. For this reason drills on the fundamental operations will be given at the ends of the chapters throughout this book. 1. 3 9 8 6 DRILL IN ADDITION Before adding the columns on this page, read again pages 9 and 10. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 2. 4 2 +6221 3 16. 17. 18. 19. 20. 67 7 349! 8 7 5 765al 6 8 1 6 7 6 3 2 8 5962| 6591 723 | 21 5 4 4 31. 32. 33. 34. 35. 36. 37. 38. 39. 40. 41. 42. 43. 44. 45. Add the following horizontally and check each result: 16. 4793 + 45 + 78 + 63 + 31 + 24. 17. 193 +264 + 782 + 831 + 963 + 713 + 645. 18. 619 + 348 + 943 + 678 + 397 + 842 + 680. |