By Mark Dugopolski
The Dugopolski sequence in developmental arithmetic has helped hundreds of thousands of scholars achieve their developmental math classes. straightforward & Intermediate Algebra, 4e is a part of the newest choices within the winning Dugopolski sequence in arithmetic. In his books, scholars and college will locate brief, special reasons of phrases and ideas written in transparent, comprehensible language that's mathematically actual. Dugopolski additionally features a double cross-referencing approach among the examples and workout units, so irrespective of the place the scholars commence, they'll see the relationship among the 2. eventually, the writer reveals it very important not to in simple terms offer caliber but in addition a large choice and volume of routines and purposes.
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Additional info for Elementary and Intermediate Algebra, 4th Edition
C) Every irrational number is a real number. Solution a) False. For example, 1ᎏᎏ is a rational number that is not an integer. 2 b) True, because the integers consist of the counting numbers, the negatives of the counting numbers, and zero. c) True, because the rational numbers together with the irrational numbers form the real numbers. Now do Exercises 23–34 U5V Intervals of Real Numbers Retailers often have a sale for a certain interval of time. M. M. you get a 20% discount. A bounded or finite interval of real numbers is the set of real numbers that are between two real numbers, which are called the endpoints of the interval.
Solution 7 3 4 2 · 2 2 b) ᎏᎏ Ϫ ᎏᎏ ϭ ᎏᎏ ϭ ᎏᎏ ϭ ᎏᎏ 10 10 10 2 · 5 5 1 2 3 a) ᎏᎏ ϩ ᎏᎏ ϭ ᎏᎏ 7 7 7 Now do Exercises 63–66 3 1 2 ᎏᎏ ϩ ᎏᎏ ᎏᎏ. 7 7 14 To add or subtract fractions with different denominators, we must convert them to equivalent fractions with the same denominator and then add or subtract. For 1 1 example, to add ᎏᎏ and ᎏᎏ, we build up each fraction to a denominator of 6. See Fig. 23. 23 U Helpful Hint V The least common denominator is greater than or equal to all of the denominators, because they must all divide into the LCD.
1000 200 21. ᎏᎏ 100 125 22. ᎏᎏ 100 18 23. ᎏᎏ 48 34 24. ᎏᎏ 102 26 25. ᎏᎏ 42 70 26. ᎏᎏ 112 84 27. ᎏᎏ 91 121 28. ᎏᎏ 132 U3V Unit Conversion Perform the indicated unit conversions. See Example 4. Round approximate answers to the nearest hundredth. Answers can vary slightly depending on the conversion factors used. 41. 42. 43. 44. 45. 46. 47. 48. 49. Convert 96 feet to inches. Convert 33 yards to feet. 22 miles to kilometers. 6 kilometers to miles. 5 centimeters to inches. 1 inches to centimeters.