By Arthur Cayley
This quantity is made from electronic photos from the Cornell collage Library historic arithmetic Monographs assortment.
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Extra resources for An elementary treatise on elliptic functions
8459 51. 19,343 52. 68,500 Caution! 7000 is not a correct answer to Example 16. It is incorrect to round from the ones digit over, as follows: 6485 6490 6500 7000. Note that 6485 is closer to 6000 than it is to 7000. Answers 41. 45. 49. 52. 140 42. 470 43. 240 44. 290 600 46. 800 47. 1900 48. 9300 8000 50. 8000 51. 3 Multiplication and Division; Rounding and Estimating 31 Sometimes rounding involves changing more than one digit in a number. EXAMPLE 17 Round 78,595 to the nearest ten. a) Locate the digit in the tens place, 9.
We round whole numbers according to the following rule. ROUNDING WHOLE NUMBERS To round to a certain place: a) Locate the digit in that place. b) Consider the next digit to the right. c) If the digit to the right is 5 or higher, round up. If the digit to the right is 4 or lower, round down. d) Change all digits to the right of the rounding location to zeros. Answers 34. 40 38. 80 35. 50 39. 90 30 36. 40 40. 60 37. 70 CHAPTER 1 Whole Numbers EXAMPLE 14 Round 6485 to the nearest ten. a) Locate the digit in the tens place, 8.
In some cases, it may help to think both ways. We have used an “ * ” to denote multiplication. A dot “ # ” is also commonly used. ) Parentheses are also used to denote multiplication. For example, 3 * 5 = 3 # 5 = 132152 = 3152 = 15. Answers Skill to Review: 1. 167 2. 4091 20 CHAPTER 1 Whole Numbers The product of 0 and any whole number is 0: 0 # a = a # 0 = 0. For example, 0 # 3 = 3 # 0 = 0. Multiplying a number by 1 does not change the number: 1 # a = a # 1 = a. For example, 1 # 3 = 3 # 1 = 3.