(Solution Manual) Curren's Math for Meds Dosages and Solutions

Curren, Witt, 11

Math & Statistics

Solution Manual

11th Edition

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Solution Manual for Curren's Math for Meds Dosages and Solutions, The downloadable file consists of 354 pages, and the total size of the file is 22.01 MB. Purchase now only for highly discounted price.

Author(s): Curren, Witt

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Solutions Manual for Curren's Math for Meds Dosages and Solutions, 11e Anna Curren, Margaret Witt (All Chapters ) Chapter 1 Relative Value, Addition, and Subtraction of Decimals 1 Instructor’s Manual to accompany Curren’s Math fo r Meds, eleventh edition. © Cengage Learning 2015. Problems 1.1 (page 3) 1. 3.5 2.7 4.2 c. 4.2 has the largest whole number and therefore the greatest value. 2. 6.15 5.95 4.54 a. 6.15 has the largest whole number and therefore the greatest value. 3. 12.02 10.19 11.04 a. 12.02 has the largest whole number and therefore the greatest value. 4. 2.5 1.75 0.75 Rewrite 2.5 as 2.50 a. 2.5 has the largest whole number and therefore the greatest value. 5. 4.3 2.75 5.1 Rewrite 4.3 as 4.30, and rewrite 5.1 as 5.10 c. 5.1 has the largest whole number and therefore the greatest value. 6. 6.15 7.4 5.95 Rewrite 7.4 as 7.40 b. 7.4 has the largest whole number a nd therefore the greatest value. 7. 7.25 8.1 9.37 Rewrite 8.1 as 8.10 c. 9.37 has the largest whole number and therefore the greatest value. 8. 4.25 5.1 3.75 Rewrite 5.1 as 5.10 b. 5.1 has the largest whole number a nd therefore the greatest value. 9. 9.4 8.75 7.4 Rewrite 9.4 as 9.40, and rewrite 7.4 as 7.40 a. 9.4 has the largest whole number and therefore the greatest value. 10. 5.1 6.33 4.2 Rewrite 5.1 as 5.10, and rewrite 4.2 as 4.20 b. 6.33 has the largest whole number a nd therefore the greatest value. Problems 1.2 (page 4) 1. 0.4 0.2 0.5 c. 0.5 has the largest number in the tent hs place and therefore the greatest value. 2. 2.73 2.61 2.87 c. 2.87 has the largest number in the tent hs place and therefore the greatest value. Chapter 1 Relative Value, Addition, and Subtraction of Decimals 2 Instructor’s Manual to accompany Curren’s Math fo r Meds, eleventh edition. © Cengage Learning 2015. 3. 0.19 0.61 0.34 b. 0.61 has the largest number in the tenths place and therefore the greatest value. 4. 3.5 3.75 3.25 Rewrite 3.5 as 3.50 b. 3.75 has the largest number in the tenths place and therefore the greatest value. 5. 0.3 0.25 0.4 Rewrite 0.3 as 0.30, and rewrite 0.4 as 0.40 c. 0.4 has the largest number in the tent hs place and therefore the greatest value. 6. 1.35 1.29 1.4 Rewrite 1.4 as 1.40 c. 1.4 has the largest number in the tent hs place and therefore the greatest value. 7. 2.5 2.7 2.35 Rewrite 2.5 as 2.50, and rewrite 2.7 as 2.70 b. 2.7 has the largest number in the tenths place and therefore the greatest value. 8. 4.51 4.75 4.8 Rewrite 4.8 as 4.80 c. 4.8 has the largest number in the tent hs place and therefore the greatest value. 9. 0.8 0.3 0.4 a. 0.8 has the largest number in the tent hs place and therefore the greatest value. 10. 2.1 2.05 2.15 Rewrite 2.1 as 2.10 First, compare the tenths place: 2.05 has the smallest number in the tenths place. 2.10 and 2.15 have the same value in the tenths place. Next, compare the hundredths place for 2.10 and 2.15. c. 2.15 has the largest number in the hundred ths place and therefore the greatest value. Problems 1.3 (page 5) 1. 0.12 0.15 0.17 c. 0.17 has the largest number in the hundred ths place and therefore the greatest value. 2. 1.2 1.24 1.23 Rewrite 1.2 as 1.20 b. 1.24 has the largest number in the hundredth s place and therefore the greatest value. 3. 0.37 0.3 0.36 Rewrite 0.3 as 0.30 a. 0.37 has the largest number in the hundred ths place and therefore the greatest value. Chapter 1 Relative Value, Addition, and Subtraction of Decimals 3 Instructor’s Manual to accompany Curren’s Math fo r Meds, eleventh edition. © Cengage Learning 2015. 4. 3.27 3.25 3.21 a. 3.27 has the largest number in the hundred ths place and therefore the greatest value. 5. 0.16 0.11 0.19 c. 0.19 has the largest number in the hundred ths place and therefore the greatest value. 6. 4.23 4.2 4.09 Rewrite 4.2 as 4.20 First, compare the tenths place: 4.09 has the smallest number in the tenths place. 4.20 and 4.23 have the same value. Next, compare the hundredths place for 4.20 and 4.23. a. 4.23 has the largest number in the hundred ths place and therefore the greatest value. 7. 3.27 3.21 3.29 c. 3.29 has the largest number in the hundred ths place and therefore the greatest value. 8. 2.75 2.73 2.78 c. 2.78 has the largest number in the hundred ths place and therefore the greatest value. 9. 0.31 0.37 0.33 b. 0.37 has the largest number in the hundredth s place and therefore the greatest value. 10. 0.43 0.45 0.44 b. 0.45 has the largest number in the hundredth s place and therefore the greatest value. Problems 1.4 (page 5) 1. 0.25 has the higher value. The decimal fraction that has the largest number representing the tenths place has the higher value. 2 is higher than 1; th erefore, 0.25 has a high er value than 0.125. Problems 1.5 (page 6) 1. 0.24 0.5 0.125 Rewrite each number with the sa me number of decimal places: 0.24 equals 0.240 0.5 equals 0.500 Compare the numbers from left to right: 0.240, 0.500, 0.125 all have the same whole number. b. 0.500 or 0.5 has the largest number in the tent hs place and therefore the greatest value. Chapter 1 Relative Value, Addition, and Subtraction of Decimals 4 Instructor’s Manual to accompany Curren’s Math fo r Meds, eleventh edition. © Cengage Learning 2015. 2. 0.4 0.45 0.5 Rewrite each number with the sa me number of decimal places: 0.4 equals 0.40 0.5 equals 0.50 Compare the numbers from left to right: 0.40, 0.45, and 0.50 all have the same whole number. c. 0.50 or 0.5 has the largest number in the te nths place and therefore the greatest value. 3. 7.5 6.25 4.75 Rewrite each number with the sa me number of decimal places: 7.5 equals 7.50 Compare the numbers from left to right. a. 7.50 or 7.5 has the largest whole numb er and therefore th e greatest value. 4. 0.3 0.25 0.35 Rewrite each number with the sa me number of decimal places: 0.3 equals 0.30 First, compare the numbers from left to right: 0.30, 0.25, and 0.35 all have the same whole number. Next, compare the tenths place: 0.25 has the smallest number in the tenths place. 0.30 and 0.35 have the same number in the tenths place. Finally, compare the hundredths place. c. 0.35 has the largest number in the hundred ths place and therefore the greatest value. 5. 1.125 1.75 1.5 Rewrite each number with the sa me number of decimal places: 1.75 equals 1.750 1.5 equals 1.500 First, compare the numbers from left to right: 1.125, 1.750, 1.500 all have the same whole number. Next, compare the tenths place. b. 1.750 or 1.75 has the largest number in the tent hs place and therefore the greatest value. 6. 4.5 4.75 4.25 Rewrite each number with the sa me number of decimal places: 4.5 equals 4.50 First, compare the numbers from left to right: 4.50, 4.75, 4.25 all have the same whole number. Next, compare the tenths place. b. 4.75 has the largest number in the tenths place and therefore the greatest value. Chapter 1 Relative Value, Addition, and Subtraction of Decimals 5 Instructor’s Manual to accompany Curren’s Math fo r Meds, eleventh edition. © Cengage Learning 2015. 7. 0.1 0.01 0.04 Rewrite each number with the sa me number of decimal places: 0.1 equals 0.10 First, compare the numbers from left to right: 0.10, 0.01, 0.04 all have the same whole number. Next, compare the tenths place. a. 0.10 or 0.1 has the largest number in the te nths place and therefore the greatest value. 8. 5.75 6.25 6.5 Rewrite each number with the sa me number of decimal places: 6.5 equals 6.50 First, compare the numbers from left to right: 5.75 has the smallest whole number. 6.25 and 6.50 have the same whole number. Next, compare the tenths place. c. 6.50 or 6.5 has the largest number in the te nths place and therefore the greatest value. 9. 0.6 0.16 0.06 Rewrite each number with the sa me number of decimal places: 0.6 equals 0.60 First, compare the numbers from left to right: 0.60, 0.16, 0.06 all have the same whole number. Next, compare the tenths place. a. 0.60 or 0.6 has the largest number in the te nths place and therefore the greatest value. 10. 3.55 2.95 3.7 Rewrite each number with the sa me number of decimal places: 3.7 equals 3.70 First, compare the numbers from left to right: 2.95 has the smallest whole number. 3.55 and 3.70 have the same whole number. Next, compare the tenths place. c. 3.70 or 3.7 has the largest number in the te nths place and therefore the greatest value. Problems 1.6 (page 7) 1. 0.25 + 0.55 = 0.8 1 0.25 +0.55 0.80 0.80 becomes 0.8 after dropping unnecessary zeros from the end of the decimal fraction. 2. 0.1 + 2.25 = 2.35 0.1 equals 0.10 0.10 + 2 . 2 5 2 . 3 5 Chapter 1 Relative Value, Addition, and Subtraction of Decimals 6 Instructor’s Manual to accompany Curren’s Math fo r Meds, eleventh edition. © Cengage Learning 2015. 3. 1.74 + 0.76 = 2.5 11 1.74 +0.76 2.50 2.50 becomes 2.5 after dropping unnecessary zeros from the end of the decimal fraction. 4. 1.4 + 0.02 = 1.42 1.4 equals 1.40 1.40 + 0 . 0 2 1 . 4 2 5. 2.3 + 1.45 = 3.75 2.3 equals 2.30 2.30 + 1 . 4 5 3 . 7 5 6. 3.75 + 1.05 = 4.8 3.1 75 +1.05 4.80 4.80 becomes 4.8 after dropping unnecessary zeros from the end of the decimal fraction. 7. 6.35 + 2.05 = 8.4 6.1 35 +2.05 8.40 8.40 becomes 8.4 after dropp ing unnecessary zeroes from th e end of the decimal fraction. 8. 5.57 + 4.03 = 9.6 5.1 57 +4.03 9.60 9.60 becomes 9.6 after dropp ing unnecessary zeroes from th e end of the decimal fraction. 9. 0.33 + 2.42 = 2.75 0.33 +2.42 2.75 Chapter 1 Relative Value, Addition, and Subtraction of Decimals 7 Instructor’s Manual to accompany Curren’s Math fo r Meds, eleventh edition. © Cengage Learning 2015. 10. 1.44 + 3.06 = 4.5 1.1 44 +3.06 4.50 4.50 becomes 4.5 after dropping unnecessary zeroes from the end of the decimal fraction. 11. 1.25 – 1.125 = 0.125 1.25 equals 1.250 1.104 250 –1. 1 2 5 0. 1 2 5 12. 3.25 – 0.65 = 2.6 21 2 3.2 5 – 0 . 6 5 2 . 60 2.60 becomes 2.6 after dropp ing unnecessary zeroes from th e end of the decimal fraction. 13. 2.3 – 1.45 = 0.85 2.3 equals 2.30 12 11 3 1 0 2.30 – 1 . 4 5 0 . 8 5 14. 0.02 – 0.01 = 0.01 0.02 –0.01 0.01 15. 5.5 – 2.5 = 3 5.5 –2.5 3.0 3.0 becomes 3 after dropping unnecessary zero es from the end of the decimal fraction. 16. 7.33 – 4.03 = 3.3 7.33 –4.03 3.30 3.30 becomes 3.3 after dropp ing unnecessary zeroes from th e end of the decimal fraction. Chapter 1 Relative Value, Addition, and Subtraction of Decimals 8 Instructor’s Manual to accompany Curren’s Math fo r Meds, eleventh edition. © Cengage Learning 2015. 17. 4.25 – 1.75 = 2.5 31 2 4.2 5 –1 . 7 5 2 . 5 0 2.50 becomes 2.5 after dropping unnecessar y zeroes from th e end of the decimal fraction. 18. 0.07 – 0.035 = 0.035 0.07 equals 0.070 0.0106 70 –0.0 3 5 0.0 3 5 19. 0.235 – 0.12 = 0.115 0.12 equals 0.120 0.235 –0.120 0.115 20. 5.75 – 0.95 = 4.8 41 7 5.7 5 – 0 . 9 5 4 . 8 0 4.80 becomes 4.8 after dropping unnecessar y zeroes from th e end of the decimal fraction. Chapter 1 Summary Self-Test (page 8) 1. 2.45 2.57 2.19 Compare the numbers from left to right: 2.45, 2.57, and 2.19 all have the same whole number. b. 2.57 has the largest number in the tent hs place and therefore the greatest value. 2. 3.07 3.17 3.71 Compare the numbers from left to right: 3.07, 3.17, and 3.71 all have the same whole number. c. 3.71 has the largest number in the tent hs place and therefore the greatest value. 3. 0.12 0.02 0.01 Compare the numbers from left to right: 0.12, 0.02, and 0.01 all have the same whole number. a. 0.12 has the largest number in the tent hs place and therefore the greatest value. 4. 5.31 5.35 6.01 Compare the numbers from left to right. c. 6.01 has the largest whole number and therefore the greatest value. Chapter 1 Relative Value, Addition, and Subtraction of Decimals 9 Instructor’s Manual to accompany Curren’s Math fo r Meds, eleventh edition. © Cengage Learning 2015. 5. 4.5 4.51 4.15 Rewrite each number with the sa me number of decimal places: 4.5 equals 4.50 First, compare the numbers from left to right: 4.50, 4.51, and 4.15 all have the same whole number. Next, compare the tenths place: 4.15 has the smallest number in the tenths place. 4.50 and 4.51 have the same number in the tenths place. Finally, compare the hundredths place. b. 4.51 has the largest number in the hundred ths place and therefore the greatest value. 6. 0.015 0.15 0.1 Rewrite each number with the sa me number of decimal places: 0.15 equals 0.150 0.1 equals 0.100 First, comparing the numbers from left to right: 0.015, 0.150, and 0.100 all have the same whole number. Next, compare the tenths place: 0.015 has the smallest number in the tenths place. 0.150 and 0.100 have the same number in the tenths place. Finally, compare the hundredths place. b. 0.150 or 0.15 has the largest number in the hundr edths place and therefore the greatest value. 7. 1.3 1.25 1.35 Rewrite each number with the sa me number of decimal places: 1.3 equals 1.30 First, compare the numbers from left to right: 1.30, 1.25, 1.35 all have the same whole number. Next, compare the tenths place: 1.25 has the smallest number in the tenths place. 1.30 and 1.35 have the same number in the tenths place. Finally, compare the hundredths place. c. 1.35 has the largest number in the hundred ths place and therefore the greatest value. 8. 0.1 0.2 0.25 Rewrite each number with the sa me number of decimal places: 0.1 equals 0.10 0.2 equals 0.20 First, compare the numbers from left to right: 0.10, 0.20, and 0.25 all have the same whole number. Next, compare the tenths place: 0.10 has the smallest number in the tenths place. 0.20 and 0.25 have the same number in the tenths place. Finally, compare the hundredths place. c. 0.25 has the largest number in the hundred ths place and therefore the greatest value. Chapter 1 Relative Value, Addition, and Subtraction of Decimals 10 Instructor’s Manual to accompany Curren’s Math fo r Meds, eleventh edition. © Cengage Learning 2015. 9. 0.125 0.1 0.05 Rewrite each number with the sa me number of decimal places: 0.1 equals 0.100 0.05 equals 0.050 First, compare the numbers from left to right: 0.125, 0.100, and 0.050 all have the same whole number. Next, compare the tenths place: 0.050 has the smallest number in the tenths place. 0.125 and 0.100 have the same number in the tenths place. Finally, compare the hundredths place. a. 0.125 has the largest number in the hundred ths place and therefore the greatest value. 10. 13.7 13.5 13.25 Rewrite each number with the sa me number of decimal places: 13.7 equals 13.70 13.5 equals 13.50 First, compare the numbers from left to right: 13.70, 13.50, and 13.25 all have the same whole number. Next, compare the tenths place. a. 13.70 or 13.7 has the largest number in the tenths place and therefore the greatest value. 11. On hand: 0.1 mg Dosage ordered: 0.3 mg c. Because the dosage ordered is greater than the dosage on hand, you will ne ed more than 1 tablet. 12. On hand: 0.25 mg Dosage ordered: 0.125 mg b. Because the dosage on hand is greater than the dosage ordered, you will need less than 1 tablet. 13. On hand: 3.75 mg Dosage ordered: 7.5 mg c. Because the dosage ordered is greater than the dosage on hand, you will need more than 1 tablet. 14. On hand: 0.5 mg Dosage ordered: 0.5 mg a. Because the dosage ordered is equal to the dosage on hand you will need 1 tablet. 15. On hand: 0.25 mg Dosage ordered 0.5 mg c. Because the dosage ordered is greater than the dosage on hand, you will need more than 1 tablet. 16. 1.31 + 0.4 = 1.71 0.4 equals 0.40 1.31 + 0 . 4 0 1.71 Chapter 1 Relative Value, Addition, and Subtraction of Decimals 11 Instructor’s Manual to accompany Curren’s Math fo r Meds, eleventh edition. © Cengage Learning 2015. 17. 0.15 + 0.25 = 0.4 0.1 15 +0.25 0.40 0.40 becomes 0.4 after dropping unnecessary zeros from the end of the decimal fraction. 18. 2.5 + 0.75 = 3.25 2.5 equals 2.50 2.50 +0.75 3.25 19. 3.2 + 2.17 = 5.37 3.2 equals 3.20 3.20 + 2 . 1 7 5.37 20. 1.3 + 1.04 = 2.34 1.3 equals 1.30 1.30 + 1 . 0 4 2.34 21. 4.7 + 3.03 = 7.73 4.7 equals 4.70 4.70 + 3 . 0 3 7.73 22. 0.5 + 0.5 = 1 0.5 +0.5 1.0 1.0 becomes 1 after dropping unnecessary ze ros from the end of the decimal fraction. 23. 5.4 + 2.6 = 8 5.4 +2.6 8.0 8.0 becomes 8 after dropping unnecessary ze ros from the end of the decimal fraction. 24. Add: 3.5 mg + 3.5 mg = 7 mg 1 3.5mg +3 .5 mg 7 .0 mg 7.0 becomes 7 mg after dr opping unnecessar y zeros from th e end of the decimal fraction. Chapter 1 Relative Value, Addition, and Subtraction of Decimals 12 Instructor’s Manual to accompany Curren’s Math fo r Meds, eleventh edition. © Cengage Learning 2015. 25. Add: 0.5 mg + 0.25 mg = 0.75 mg 0.5 equals 0.50 0.50 mg + 0 . 2 5 m g 0.75 mg 26. Add: 0.02 mg + 0.02 mg = 0.04 mg 0.02 mg +0.02 mg 0.04 mg 27. Add: 0.8 mg + 0.4 mg + 0.4 mg = 1.6 mg 1 0.8 m g 0.4 mg +0.4 mg 1.6 mg 28. Add: 0.15 mg + 0.3 mg = 0.45 mg 0.3 equals 0.30 0.15 mg + 0 . 3 0 m g 0.45 mg 29. 4.32 – 3.1 = 1.22 3.1 equals 3.10 4.32 –3.10 1.22 30. 2.1 – 1.91 = 0.19 2.1 equals 2.10 10 11 1 1 0 2. 1 0 – 1. 9 1 0. 1 9 31. 3.73 – 1.93 = 1.8 217 3.73 –1. 93 1. 80 1.80 becomes 1.8 after dr opping unnecessar y zeros from th e end of the decimal fraction. 32. 5.75 – 4.05 = 1.7 5. 75 –4. 05 1. 70 1.70 becomes 1.7 after dropping unnecessary zer os from the end of the decimal fraction. Chapter 1 Relative Value, Addition, and Subtraction of Decimals 13 Instructor’s Manual to accompany Curren’s Math fo r Meds, eleventh edition. © Cengage Learning 2015. 33. 1.3 – 0.02 = 1.28 1.3 equals 1.30 1.21 0 30 – 0. 0 2 1. 2 8 34. 0.2 – 0.07 = 0.13 0.2 equals 0.20 0.11 0 20 – 0. 0 7 0. 1 3 35. 3.95 – 0.35 = 3.6 3.95 –0.35 3.60 3.60 becomes 3.6 after dropping unnecessary zeros from the end of the decimal fraction. 36. 1.9 – 0.08 = 1.82 1.9 equals 1.90 1.81 0 90 –0. 0 8 1. 8 2 37. Subtract: 7.5 mg – 3.75 mg = 3.75 mg 7.5 equals 7.50 14 10 61 5 7. 5 0m g –3.7 5 mg 3.7 5 mg 38. Subtract: 0.06 mg – 0.02 mg = 0.04 mg 0.06 mg –0.02 mg 0.04 mg 39. Subtract: 1.5 mg – 0.5 mg = 1 mg 1.5 mg –0.5 mg 1.0 mg 1.0 mg becomes 1 after dropping unnecess ary zeros from th e end of the decimal fraction. Chapter 1 Relative Value, Addition, and Subtraction of Decimals 14 Instructor’s Manual to accompany Curren’s Math fo r Meds, eleventh edition. © Cengage Learning 2015. 40. Subtract: 1.2 mg – 0.6 mg = 0.6 mg 01 2 1.2mg –0.6 mg 0.6 mg 41. Subtract: 2.2 mg – 0.55 mg – 0.55 mg = 1.1 mg First, subtract: 2.2 mg – 0.55 mg = 1.65 mg 2.2 equals 2.20 11 11 2 1 0 2. 2 0 – 0 .5 5 1 .6 5 Then: 1.65 mg – 0.55 mg = 1.1 mg 1.65 mg – 0.55 mg 1.10 mg 1.10 becomes 1.1 mg af ter dropping unnecessary zeros from the end of the decimal fraction. 42. How many 0.01 mg tablets equal 0.02 mg? Add: 0.01 mg + 0.01 mg = 0.02 mg Therefore 2 tablets are needed. 43. How many 2.5 mg tablets equal 5 mg? Add: 2.5 + 2.5 = 5.0 mg Therefore 2 tablets are needed. 44. How many 0.25 mg tablets equal 0.125 mg? Because 0.25 mg is greater than 0.125 mg: Subtract: 0.25 – 0.125 = 0.125 0.25 equals 0.250 0 .104 250 mg – 0.1 2 5 mg 0.1 2 5 mg Because ½ of 0.25 mg = 0.125 mg, give ½ tablet. 45. How many 0.5 mg tablets equal 1.5 mg? Add: 0.5 mg + 0.5 mg + 0.5 mg = 1.5 mg Therefore 3 tablets are needed. 46. How many 0.6 mg tablets equal 1.8 mg? Add: 0.6 mg + 0.6 mg + 0.6 mg = 1.8 mg Therefore 3 tablets are needed. Chapter 1 Relative Value, Addition, and Subtraction of Decimals 15 Instructor’s Manual to accompany Curren’s Math fo r Meds, eleventh edition. © Cengage Learning 2015. 47. How many 0.04 mg tablets equal 0.02 mg? Because 0.04 mg is gr eater than 0.02 mg: Subtract: 0.04 – 0.02 = 0.02 0.04 mg – 0.02 mg 0.02 mg Because ½ of 0.04 mg = 0.02 mg, give ½ tablet. 48. How many 1.75 mg tablets equal 3.5 mg? Add: 1.75 + 1.75 = 3.5 mg Therefore 2 tablets are needed. 49. How many 1.6 mg tablets equal 3.2 mg? Add: 1.6 + 1.6 = 3.2 mg Therefore 2 tablets are needed. 50. How many 0.25 mg tablets equal 0.375 mg? You will need more than 1 tablet. Because 1 tablet = 0.25 mg, how many more tablets are needed? Subtract 0.375 mg – 0.25 mg = 0.125 mg Because 0.125 mg + 0.125 mg = 0.25 mg, you will need an additional ½ tablet. Therefore you will need 1½ tablets. Chapter 2 Multiplication and Division of Decimals 16 Instructor’s Manual to accompany Curren’s Math fo r Meds, eleventh edition. © Cengage Learning 2015. Problems 2.1 (page 13) 1. 0.45 × 0.2 = 0.09 0.1 45 × 0.2 line up the numbers on the right 090 The product is 090; 0.45 has two num bers after the decimal point and 0.2 has one. Place the decimal point three places to the left in the produ ct, so that 090 becomes .090, then add a zero in front of the decimal to emphasize the fraction. Drop unnecessary zeros at the end of the decimal fraction. Answer = 0.09 2. 0.35 × 0.12 = 0.042 1 0.35 × 0.12 line up the numbers on the right 070 035 0420 The product is 0420; 0.35 has two numbers after the decimal point and 0.12 has two. Place the decimal point four places to the left in the produc t, so that 0420 becomes .0420, then add a zero in front of the decimal to emphasize the fraction. Drop unnecessary zeros at the end of the decimal fraction. Answer = 0.042 3. 1.3 × 0.05 = 0.065 1 1.3 × 0.05 line up the numbers on the right 65 00 065 The product is 065; 1.3 has one number after th e decimal point and 0.05 has two. Place the decimal point three places to the left in the produc t, so that 065 becomes .065, then add a zero in front of the decimal to emphasize the fraction. Answer = 0.065 Chapter 2 Multiplication and Division of Decimals 17 Instructor’s Manual to accompany Curren’s Math fo r Meds, eleventh edition. © Cengage Learning 2015. 4. 0.7 × 0.04 = 0.028 2 0.7 × 0.04 line up the numbers on the right 028 00 028 The product is 028; 0.7 has one number after th e decimal point and 0.04 has two. Place the decimal point three places to the left in the produc t, so that 028 becomes .028, then add a zero in front of the decimal to emphasize the fraction. Answer = 0.028 5. 0.4 × 0.17 = 0.068 2 0.4 × 0.17 line up the numbers on the right 028 04 068 The product is 068; 0.4 has one number after the decimal point and 0.17 has two. Place the decimal point three places to the left in the produ ct, so that 068 becomes .068, then add a zero in front of the decimal to emphasize the fraction. Answer = 0.068 6. 2.14 × 0.03 = 0.0642 2.1 14 × 0.03 line up the numbers on the right 642 000 0642 The product is 0642; 2.14 has two numbers after th e decimal point and 0.03 has two. Place the decimal point four places to the left in the produc t, so that 0642 becomes .0642, then add a zero in front of the decimal to emphasize the fraction. Answer = 0.0642 7. 1.4 × 0.4 = 0.56 1 1.4 × 0.4 line up the numbers on the right 56 The product is 56; 1.4 has one number after the de cimal point and 0.4 has one. Place the decimal point two places to the left in the product, so that 56 becomes .56, then add a zero in front of the decimal to emphasize the fraction. Answer = 0.56 Chapter 2 Multiplication and Division of Decimals 18 Instructor’s Manual to accompany Curren’s Math fo r Meds, eleventh edition. © Cengage Learning 2015. 8. 3.3 × 1.2 = 3.96 3.3 × 1.2 line up the numbers on the right 66 33 396 The product is 396; 3.3 has one number after the d ecimal point and 1.2 has one. Place the decimal point two places to the left in the product, so that 396 becomes 3.96. Answer = 3.96 9. 2.7 × 2.2 = 5.94 1 1 2.7 × 2.2 line up the numbers on the right 54 54 594 The product is 594; 2.7 has one number after the d ecimal point and 2.2 has one. Place the decimal point two places to the left in the product, so that 594 becomes 5.94. Answer = 5.94 10. 2.1 × 0.3 = 0.63 2.1 × 0.3 line up the numbers on the right 63 00 063 The product is 063; 2.1 has one number after the d ecimal point and 0.3 has one. Place the decimal point two places to the left in the product, so that 063 becomes 0.63. Answer = 0.63 Problems 2.2 (page 14) 1. 17.5 175 22 0= The decimal point must be moved one place to the righ t in the numerator 17.5 to make 175. Therefore, it must be moved one place to the right in the deno minator 2, which requires the addition of one zero to make 20. Chapter 2 Multiplication and Division of Decimals 19 Instructor’s Manual to accompany Curren’s Math fo r Meds, eleventh edition. © Cengage Learning 2015. 2. 0.5 5 25 250= The decimal point must be moved one place to the right in the numerator 0.5 to make 5. Therefore, it must be moved one place to the right in the denomi nator 25, which requires the addition of one zero to make 250. 3. 6.3 63 0.6 6= The decimal point must be moved one place to the right in the numerator 6.3 to make 63. Therefore, it must be moved one place to the right in the denominator 0.6 to make 6. 4. 3.76 376 0.4 40= The decimal point must be moved two places to the right in the numerator 3.76 to make 376. Therefore, it must be moved two plac es to the right in the denominator 0.4, which requires the addition of one zero to make 40. 5. 8.4 84 0.7 7= The decimal point must be moved one place to the right in the numerator 8.4 to make 84. Therefore, it must be moved one place to the right in the denominator 0.7 to make 7. 6. 0.1 10 0.05 5= The decimal point must be moved two places to th e right in the denominator 0.05 to make 5. Therefore, it must be moved two plac es to the right in the numerator 0.1, which requires the addition of one zero to make 10. 7. 0.9 90 0.03 3= The decimal point must be moved two places to th e right in the denominator 0.03 to make 3. Therefore, it must be moved two plac es to the right in the numerator 0.9, which requires the addition of one zero to make 90. 8. 10.75 1075 2.5 250= The decimal point must be moved two places to the right in the numerator 10.75 to make 1075. Therefore, it must be moved two plac es to the right in the denominator 2.5, which requires the addition of one zero to make 250. Chapter 2 Multiplication and Division of Decimals 20 Instructor’s Manual to accompany Curren’s Math fo r Meds, eleventh edition. © Cengage Learning 2015. 9. 0.4 40 0.04 4= The decimal point must be moved two places to th e right in the denominator 0.04 to make 4. Therefore, it must be moved two plac es to the right in the numerator 0.4, which requires the addition of one zero to make 40. 10. 1.2 12 0.4 4= The decimal point must be moved one place to the right in the numerator 1.2 to make 12. Therefore, it must be moved one place to the right in the denominator 0.4 to make 4. Problems 2.3 (page 16) 1. 84 8 The greatest common denominator is 4. 84 8 = 21 2 Divide by 4. 2. 20 16 The greatest common denominator is 4. 20 165 4= Divide by 4. 3. 250 325 The greatest common denominator is difficult to determine. 250 32550= 6510 13= Divide by 5, then 5 again. 4. 96 34 The greatest common denominator is 2. 96 3448 17= Divide by 2. Chapter 2 Multiplication and Division of Decimals 21 Instructor’s Manual to accompany Curren’s Math fo r Meds, eleventh edition. © Cengage Learning 2015. 5. 175 20 The greatest common denominator is 5. 175 2035 4= Divide by 5. 6. 40 14 The greatest common denominator is 2. 40 1420 7= Divide by 2. 7. 82 28 The greatest common denominator is 2. 82 2841 14= Divide by 2. 8. 100 75 The greatest common denominator is difficult to determine. 100 7520= 154 3= Divide by 5, then 5 again. 9. 50 75 The greatest common denominator is difficult to determine. 50 7510= 152 3= Divide by 5, then 5 again. 10. 60 88 The greatest common denominator is 4. 60 8815 22= Divide by 4. Chapter 2 Multiplication and Division of Decimals 22 Instructor’s Manual to accompany Curren’s Math fo r Meds, eleventh edition. © Cengage Learning 2015. Problems 2.4 (page 17) 1. 50 25 05 25= Reduce by 5 = 1 5 2. 12 0 5012 5= 3. 25 00 15 0025 15= Reduce by 5 = 5 3 4. 1,00 0,000 75 0,000100 75= 100 7520= 154 3= Reduce by 5, then 5 again. 5. 80 0 15 080 15= Reduce by 5 = 16 3 6. 110 10 011 10= 7. 20 0,000 15 0,00020 15= Reduce by 5 = 4 3 8. 10 00 80 010 8= Reduce by 2 = 5 4 9. 60 406 4= Reduce by 2 = 3 2 Chapter 2 Multiplication and Division of Decimals 23 Instructor’s Manual to accompany Curren’s Math fo r Meds, eleventh edition. © Cengage Learning 2015. 10. 15 0 20 015 20= Reduce by 5 = 3 4 Problems 2.5 (page 18) 1. 5.12.21 2.22.3== The number representing hundredths, 1, is less than 5, so the number representing tenths, 2, remains unchanged. 2. 0.91.28 1.30.7== The number representing hundredths, 8, is greater than 5, so the number representing tenths, 2, becomes 3. 3. 3.71.85 1.92== The number representing hundredths, 5, is equal to 5, so the number representing tenths, 8, becomes 9. 4. 64.61 4.61.3== The number representing hundredths, 1, is less than 5, so the number representing tenths, 6, remains unchanged. 5. 1.50.71 0.72.1== The number representing hundredths, 1, is less than 5, so the number representing tenths, 7, remains unchanged. 6. 2.72.45 2.51.1== The number representing hundredths, 5, is equal to 5, so the number representing tenths, 4, becomes 5. 7. 4.20.84 0.85== The number representing hundredths, 4, is less than 5, so the number representing tenths, 8, remains unchanged. Chapter 2 Multiplication and Division of Decimals 24 Instructor’s Manual to accompany Curren’s Math fo r Meds, eleventh edition. © Cengage Learning 2015. 8. 0.50.22.5= The number representing hundredths, 0, is less than 5, so the number representing tenths, 2, remains unchanged. 9. 5.25.71 5.70.91== The number representing hundredths, 1, is less than 5, so the number representing tenths, 7, remains unchanged. 10. 2.40.88 0.92.7== The number representing hundredths, 8, is greater than 5, so the number representing tenths, 8, becomes 9. Problems 2.6 (page 19) 1. 0.175 = 0.18 The number representing thousandths , 5, is equal to 5, so the number representing hundredths, 7, becomes 8. 2. 0.344 = 0.34 The number representing thousandths, 4, is less th an 5, so the number representing hundredths, 4, remains unchanged. 3. 1.853 = 1.85 The number representing thousandths, 3, is less th an 5, so the number representing hundredths, 5, remains unchanged. 4. 0.306 = 0.31 The number representing thousandths , 6, is greater than 5, so the number representing hundredths, 0, becomes 1. 5. 3.015 = 3.02 The number representing thousandths , 5, is equal to 5, so the number representing hundredths, 1, becomes 2. 6. 2.154 = 2.15 The number representing thousandths, 4, is less th an 5, so the number representing hundredths, 5, remains unchanged.