By Dummit D. S
Broadly acclaimed algebra textual content. This e-book is designed to offer the reader perception into the ability and wonder that accrues from a wealthy interaction among various parts of arithmetic. The booklet rigorously develops the speculation of other algebraic constructions, starting from easy definitions to a few in-depth effects, utilizing a variety of examples and routines to help the reader's knowing. during this approach, readers achieve an appreciation for a way mathematical constructions and their interaction result in robust effects and insights in a few assorted settings
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Extra info for Abstract Algebra
49,932 57,409 684 # 73 2052 + 4788 49932 187 # 307 1309 000 + 561 57409 Dividing Think of division as finding out how many groups a number can be separated into, or the amount contained within each group. For example: 20 ÷ 4 = 5. Assume that you have 20 pencils and you want to split them up into 4 groups of pencils. The number of pencils that you then have in each of these groups will be 5. Each different number involved in this has a name, and although the names can be a little confusing, we’ll use them here so we can talk about which is which in the problems that follow.
Answer: 50 250,423 ÷ 5354 ≈ 250,000 ÷ 5000 = 50 Work Problems Use these problems to give yourself additional practice. 1. Estimate the product of 42 × 41 by rounding to the nearest ten. 2. Estimate the product of 617 × 68 by rounding to the nearest ten. 3. Estimate the quotient of 4346 ÷ 48 by rounding to the nearest ten. 4. Estimate the quotient of 16,044 ÷ 191 by rounding to the nearest hundred. Worked Solutions 42 × 41 ≈ 40 × 40 = 1600 1. 1600 2. 43,400 3. 87 4346 ÷ 48 ≈ 4350 ÷ 50 = 87 4. 80 16,044 ÷ 191 ≈ 16,000 ÷ 200 = 80 617 × 68 ≈ 620 × 70 = 43,400 Divisibility Rules If you ever need to know whether one number divides evenly into another, divisibility rules can help save time.
B 44. B 45. E If you missed two out of the previous three questions, begin your studying by turning to page 95, Subtracting Decimals. 46. C 47. E 48. D If you missed two out of the previous three questions, begin your studying by turning to page 97, Multiplying Decimals. qxd 5/20/03 9:14 AM Page 23 Pretest 49. A 50. E 51. D If you missed two out of the previous three questions, begin your studying by turning to page 100, Dividing Decimals. 52. D 53. D 54. B If you missed two out of the previous three questions, begin your studying by turning to page 106, Changing between Fractions and Decimals.