Download PDF by Percival Frost Joseph Wolstenholme: A Treatise on Solid Geometry

By Percival Frost Joseph Wolstenholme

ISBN-10: 140217098X

ISBN-13: 9781402170980

This Elibron Classics publication is a facsimile reprint of a 1863 version by way of Macmillan and Co., Cambridge - London.

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A Treatise on Solid Geometry by Percival Frost Joseph Wolstenholme PDF

This Elibron Classics e-book is a facsimile reprint of a 1863 variation by way of Macmillan and Co. , Cambridge - London.

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Extra resources for A Treatise on Solid Geometry

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A) 16 , 8 = 2 Check: 8 # 2 = 16. 36 = 9 4 Check: 4 # 9 = 36. b) 8 c) 7 ͤ 56 Divide. Check by multiplying. 18. 9 ͤ 4 5 19. 27 , 3 Check: 7 # 8 = 56. Do Exercises 18–20. 20. 48 6 Let’s consider some basic properties of division. DIVIDING BY 1 Any number divided by 1 is that same number: a , 1 = For example, 6 , 1 = 6 and a = a. 1 15 = 15. 1 DIVIDING A NUMBER BY ITSELF Any nonzero number divided by itself is 1: a , a = For example, 7 , 7 = 1 and a = 1, a a Z 0. 22 = 1. 22 Answers 18. 5 19. 9 20. 3 Multiplication and Division; Rounding and Estimating 25 DIVIDENDS OF 0 Zero divided by any nonzero number is 0: 0 , a = For example, 0 , 14 = 0 and 0 = 0, a a Z 0.

60 37. 70 CHAPTER 1 Whole Numbers EXAMPLE 14 Round 6485 to the nearest ten. a) Locate the digit in the tens place, 8. 6 4 8 5 b) Consider the next digit to the right, 5. 6 4 8 5 c) Since that digit, 5, is 5 or higher, round 8 tens up to 9 tens. d) Change all digits to the right of the tens digit to zeros. 6 4 9 0 Round to the nearest ten. This is the answer. Do Exercises 41–44. 41. 137 42. 473 43. 235 44. 285 EXAMPLE 15 Round 6485 to the nearest hundred. a) Locate the digit in the hundreds place, 4.

Division with a Remainder Suppose we have 22 cans of soda and want to pack them in cartons of 6 cans each. We could fill 3 cartons and have 4 cans left over. 1 2 Highlight points that you do not understand. Use a special mark to indicate trouble spots that can lead to questions to be asked during class or in a tutoring session. Answers 21. 1 23. 0 Do Exercises 21–24. 22. Not defined 24. 8 26 CHAPTER 1 Whole Numbers 3 4 left over We can think of this as the following division. The leftover cans are the remainder.

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A Treatise on Solid Geometry by Percival Frost Joseph Wolstenholme


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