Math for Nursing (Metric System)

2. Find the following percentage. % of 2,000= _____ ANS: 18 3. Find the following percentage. 16% of 79 = _____ ANS: 12.64 4. Find the following percentage. 8% of 32 = _____ ANS: 2.56 5. Change the following percentage to a ratio and its decimal equivalent. 8% = _____; _____ ANS: 2:25; 0.08 6. Change the following percentage to a ratio and its decimal equivalent. 45% = _____; _____ ANS: 45:100, 0.45 7. Change the following percentage to a ratio. % = _____ ANS: 1:6 8. Change the following percentage to a ratio. 0.4% = _____ ANS: 1:250 9. Convert 84.75% to decimal form. ANS: 0.8475 10. Convert 42.5% to decimal form. ANS: 0.425 11. Convert 2.96 to a percent. ANS: 296% 12. Convert 0.925 to a percent. ANS: 92.5% 13. A client drank 3 ounces (oz) of a glass of apple juice. This was 75% of the full amount. What was the full amount of apple juice? ANS: 4 oz 14. A client is responsible for 30% of his doctor bills due to insurance. The client sees a specialist and the bill is $240.00. How much will the client be responsible for? ANS: $72.00 15. A client was able to drink 85% of a 1,000 milliliter (mL) bottle of an x-ray prep. How many mL did the client drink? ANS: 850 mL 16. A client has a 2,500 mL bag of irrigation solution hanging. 750 mL of the solution have infused. What percent of the irrigation solution has infused? ANS: 30% 17. A client consumed 30% of a bowl of broth. The bowl held 360 mL. How many mL of the broth did the client consume? ANS: 108 mL 18. A client who weighed 210 pounds (lb) lost 30 lb. What was the percent of decrease in the client’s weight? (State answer to the nearest whole percent.) ANS: 14% 19. Following exercise, a client’s pulse rate increased from 80 to 95. What is the percent of increase in the client’s pulse rate? (State answer to the nearest tenth.) ANS: 18.8% 20. A client has received 45% of a 500 mL bag of intravenous (IV) solution. How many mL of IV solution has the client received? ANS: 225 mL Metric System MULTIPLE CHOICE 1. 0.6 mg is equivalent to: a. 600 mcg b. 6 mcg c. 60 mcg d. 0.0006 mcg ANS: A 2. The metric prefix for 0.001 is: a. micro. b. centi. c. kilo. d. milli. ANS: D 3. 60 mg is equivalent to: a. 6 g b. 0.6 g c. 0.06 g d. 0.0006 g ANS: C 4. Three and one-half kilograms a. 3.5 kg b. 3.05 kg c. 3 kg d. 3.5 kg ANS: D 5. Eight-tenths of a milliliter a. 8/10 ml b. .8 mL c. 0.8 mL d. ml 0.8 ANS: C 6. Six-tenths of a liter a. 0.6 L b. 6/10 L c. 0.60 L d. 0.60 l ANS: A 7. One hundred forty-five micrograms a. 145 mg b. 0.145 mcg c. 145.0 mg d. 145 mcg ANS: D MULTIPLE RESPONSE 1. The metric system (select all that apply): a. is also called the fractional system. b. is used most often in medication administration. c. has units of measure such as grain and drop. d. is based on the decimal system. e. is gradually replacing the apothecary and household systems. f. expresses quantities using Arabic numbers and decimals. ANS: B, D, E 2. The liter is (select all that apply): a. a unit of volume in the metric system. b. smaller than a milliliter. c. equivalent to 1,000 milliliters. d. abbreviated using a small case l. e. abbreviated with a capital L. f. the basic unit for weight. ANS: A, C, E COMPLETION 1. Complete the following sentence with the correct word(s). The units of the metric system are as follows: ____________________ (length), ____________________ (volume), and ____________________ (weight). ANS: meter, liter, gram 2. Name the metric units commonly used in medication administration, from smallest to largest.(Use correct abbreviations.) Volume: a. ____________________ b. ____________________ Weight: a. ____________________ b. ____________________ c. ____________________ d. ____________________ ANS: Volume: a. mL; b. L Weight: a. mcg; b. mg; c. g; d. kg 3. Directions: Write the equivalent indicated. 1 L = _____ mL ANS: 1,000 4. Directions: Write the equivalent indicated. 1 kg = _____ g ANS: 1,000 5. Directions: Write the equivalent indicated. 3,120 mcg = _____ mg ANS: 3.12 6. Directions: Write the equivalent indicated. 1 mg = _____ g ANS: 0.001 7. Directions: Write the equivalent indicated. 5.2 kg = _____ g ANS: 5,200 8. Directions: Write the equivalent indicated. 3,550 mL = _____ L ANS: 3.55 9. Directions: Write the equivalent indicated. 15 mg = _____ mcg ANS: 15,000 mcg 10. Directions: Write the equivalent indicated. 25.6 mg = _____ g ANS: 0.0256 g 11. Directions: Write the equivalent indicated. 0.075 mg = _____ mcg ANS: 75 mcg 12. Directions: Write the equivalent indicated. 7.45 mL = _____ L ANS: 0.00745 L 13. Directions: Write the equivalent indicated. 1.57 kg = _____ g ANS: 1,570 g 14. Directions: Write the equivalent indicated. 26 mcg = _____ mg ANS: 0.026 mg 15. Directions: Write the equivalent indicated. 8.3 L = _____ mL ANS: 8,300 mL 16. Directions: Write the equivalent indicated. 54.6 g = _____ kg ANS: 0.0546 kg 17. Directions: Write the equivalent indicated. 450 mL = _____ L ANS: 0.45 L 18. Directions: Write the equivalent indicated. 0.081 g = _____ mg ANS: 81 mg 19. Directions: Write the equivalent indicated. 44 mL = ______ L ANS: 0.044 L 20. Directions: Write the equivalent indicated. 0.008 L = _______ mL ANS: 8 mL 21. Directions: Write the equivalent indicated. 25.5 mcg = _______ mg ANS: 0.0255 mg 22. Directions: Write the equivalent indicated. 3.5 g = _______ mg ANS: 3,500 mg 23. Directions: Write the equivalent indicated. 9.5 mg = ________ mcg ANS: 9,500 mcg 24. Directions: Write the equivalent indicated. 20 mg = ________ g ANS: 0.02 g 25. Directions: Write the equivalent indicated. 6,724 g = _______ kg ANS: 6.724 kg 26. Directions: Write the equivalent indicated. 0.007 kg = _______ g ANS: 7 g 27. Directions: Write the equivalent indicated. 21 L = _________ mL ANS: 21,000 mL 28. Directions: Write the equivalent indicated. 350,000 mcg = ________ mg ANS: 350 mg 29. Directions: Write the equivalent indicated. 48.5 mcg = _________mg ANS: 0.0485 mg 30. Directions: Write the equivalent indicated. 873 mL = _________ L ANS: 0.873 L SHORT ANSWER 1. Directions: Apply the guidelines relating to the use of leading and trailing zeros and express the following metric notations correctly. 02.05 kg ANS: 2.05 kg 2. Directions: Apply the guidelines relating to the use of leading and trailing zeros and express the following metric notations correctly. .65 mL ANS: 0.65 mL 3. Directions: Apply the guidelines relating to the use of leading and trailing zeros and express the following metric notations correctly. 8.0 L ANS: 8L TRUE/FALSE 1. Trailing zeros should be placed on quantities to avoid misinterpretation of a value. _____ ANS: F 2. Gram is the basic unit of weight in the metric system. _____ ANS: T Apothecary and Household Systems MULTIPLE CHOICE 1. 1 oz is equivalent to: a. 4 mL b. 5 mL c. 15 mL d. 30 mL ANS: D 2. The correct abbreviation for teaspoon is: a. Tsp. b. tsp. c. tbs. d. Tbs. ANS: B MULTIPLE RESPONSE 1. The household system (select all that apply): a. is more accurate than the metric system. b. expresses quantities using Arabic numbers and decimals. c. is primarily used for dosages at home. d. expresses quantities in fractions and Arabic numbers. e. is preferred for medication administration. f. has measures such as tbs and tsp. ANS: C, D, F COMPLETION 1. Directions: Write the abbreviation for the term. drop: _____ ANS: gtt 2. Directions: Write the abbreviation for the term. teaspoon: _____ ANS: tsp 3. Directions: Write the abbreviation for the term. ounce: _____ ANS: oz 4. Directions: Write the equivalent indicated. 30 mL = _____ oz ANS: 1 5. Directions: Write the equivalent indicated. 13 t = _______ mL ANS: 65 6. Directions: Write the equivalent indicated. 15 mL = _____ oz ANS: 1/2 7. Directions: Write the equivalent indicated. 2 3/4 C = ______ mL ANS: 660 8. Directions: Write the equivalent indicated. 10 tbs = _____ mL ANS: 150 9. Directions: Write the equivalent indicated. 50 mL = _____ qt ANS: 1/20 10. Directions: Write the equivalent indicated. 5 t = _____ mL ANS: 25 11. Directions: Write the equivalent indicated. 255 mL = _____ oz ANS: 8 1/2 12. Directions: Write the equivalent indicated. 6 1/4 qt = _____ mL ANS: 6,250 13. Directions: Write the equivalent indicated. 5 1/4 pt = ______ mL ANS: 2,625 14. Directions: Write the equivalent indicated. 16 T = _____ mL ANS: 240 15. Directions: Write the equivalent indicated. 750 mL = _____ pt ANS: 1 1/2 pt 16. Directions: Write the equivalent indicated. 2 1/4 cup = _____ mL ANS: 540 17. Directions: Write the equivalent indicated. 195 mL = ________ oz ANS: 6 1/2 18. Directions: Write the equivalent indicated. 10 1/3 tbs = _______ mL ANS: 155 19. Directions: Write the equivalent indicated. 277.5 mL = _________ oz ANS: 9 1/4 20. Directions: Write the equivalent indicated. 43.75 mL = ________ tsp ANS: 8 3/4 SHORT ANSWER 1. Directions: Express the following value correctly. 5.5 Tsp ANS: 5 1/2 tsp, tsp 5 1/2 2. Directions: Express the following value correctly. 20 MEQ ANS: 20 mEq 3. Directions: Express the following value correctly. 2.75 OZ ANS: 2 3/4 oz, oz 2 3/4 4. Directions: Express the following value correctly. 17 U ANS: 17 units 5. Directions: Express the following value correctly. 18.0 Tbs ANS: 18 tbs, tbs 18 TRUE/FALSE 1. The drop is a standardized unit of measure. _____ ANS: F 2. Use of the apothecary system has been identified as a source of error in medication administration. _____ ANS: T 3. A capital “U” is an acceptable abbreviation for units. ______ ANS: F 4. Milliequivalent is a unit used to measure the ionic activity of a medication. _______ ANS: T 5. The household system expresses values using roman numerals and Arabic numbers. ______ Converting Within and Between Systems COMPLETION 1. A client's intake was the following: 3/4 cup of coffee (1 cup = 8 oz) 1 can of ginger ale (1 can = 12 oz) 1/2 glass of cranberry juice (1 glass = 6 oz) How many mL will you record on the intake and output (I&O) sheet? _____ mL ANS: 630 2. Directions: Write the equivalent indicated. 1 mg = _____ g ANS: 0.001 PTS: 1 3. Directions: Write the equivalent indicated. 1,200 mL = ______ oz ANS: 40 4. Directions: Write the equivalent indicated. 4 1/4 qt = _____ mL ANS: 4,250 5. Directions: Write the equivalent indicated. 11 1/2 oz = ________ mL ANS: 345 6. Directions: Write the equivalent indicated. 28.3 kg = _____ lb ANS: 62.04 lb 7. Directions: Write the equivalent indicated. 4,176 g = _____ kg ANS: 4.176 kg 8. Directions: Write the equivalent indicated. 59 lb = _____ kg (Round answer to the nearest tenth) ANS: 26.8 kg 9. Directions: Write the equivalent indicated. 0.005 g = _____ mg ANS: 5 10. Directions: Write the equivalent indicated. 0.3 mg = _____ g ANS: 0.0003 g 11. Directions: Write the equivalent indicated. 2 oz = _____ tbs ANS: 4 12. Directions: Write the equivalent indicated. 45 kg = _______ lb ANS: 99 13. Directions: Write the equivalent indicated. 56 in = ______ cm ANS: 140 14. Directions: Write the equivalent indicated. 2,575 mL = _______ L ANS: 2.575 15. Directions: Write the equivalent indicated. 125 mL = ________ tsp ANS: 25 16. Calculate the client’s intake in mL. Apple juice 2 oz Chicken broth 4 oz Gelatin dessert 3 oz Hot tea 5 oz Total mL = _____ ANS: 420 17. A client’s intake was the following: 1 1/4 cup of coffee (1 cup = 8 oz) 4 oz cranberry juice 1 1/2 bowls of chicken broth (1 bowl = 6 oz) 3 1/2 glasses of water (1 glass = 6 oz) The client voided urine as follows: 260 mL, 180 mL, 500 mL, and 425 mL Calculate the client’s I&O in mL. a. Intake: _____ mL b. Output: _____ mL ANS: a. 1,320; b. 1,365 18. A client’s intake was the following: 1/8 qt of milk 1 1/4 cup of coffee (1 cup = 6 oz) 3 oz water 2 oz of chicken broth a. Intake: ________ mL b. Intake: ________ L ANS: a. 500; b. 0.5 19. A client drinks 300 mL of magnesium citrate. How many ounces did the client consume? _____ oz ANS: 10 20. A client has an order for Maalox 30 mL p.o. at bedtime. How many tsb will the nurse instruct the client to take? _____ tsb ANS: 2 21. A client received 5.4 liters of IV fluid during a surgical procedure. How many mL of IV fluid did the client receive? _____ mL ANS: 5,400 22. A client drinks 4 3/4 cups (cup = 8 oz) of a liquid. How many mL did the client drink? ______ mL ANS: 1,140 23. A client had a physical a year ago and weighed 85 kg. The client tells you he lost 11 lb. What is the client’s current weight in kg? _______ kg ANS: 80 24. A client reports drinking 48 oz of water on a visit to the clinic. How many mL did the client drink? _________ mL ANS: 1,440 25. A client needs to drink 1 1/2 oz of an elixir per day. How many tsp would this be equivalent to? ________ tsp ANS: 9 Additional Conversions Useful in the Health Care Setting MULTIPLE CHOICE 1. In international time, 4:08 PM is: a. 0408 hours. b. 1508 hours. c. 1608 hours. d. 1708 hours. ANS: C 2. In traditional time, 0518 is: a. 5:18 AM. ANS: A COMPLETION 1. Directions: Write the equivalent indicated. 1 kg = _____ lb ANS: 2.2 2. Directions: Write the equivalent indicated. 1 cm = _____ mm ANS: 10 3. Directions: Write the equivalent indicated. 1 inch = _____ cm ANS: 2.5 4. Directions: Write the equivalent indicated. 16 oz = _____ lb ANS: 1 5. Directions: Write the equivalent indicated. 40.5 cm ______ mm ANS: 405 mm b. 5:18 PM. 6. Directions: Convert the following temperature as indicated. 18 C = _____ F ANS: 64.4 7. Directions: Convert the following temperature as indicated. 39 C = _____ F ANS: 102.2 8. Directions: Convert the following temperature as indicated. 102 F = _____ C ANS: 38.9 9. Directions: Convert the following temperature as indicated. 212 F = _____ C ANS: 100 10. Directions: Convert the following temperature as indicated. Store medication within a temperature range of 36° F and 41° F. ______ ° C ANS: 2.2° C and 5° C 11. Directions: Convert the following temperature as indicated. 12.8° C = _____ ° F ANS: 55° F 12. Directions: Convert the following temperature as indicated. 82.8° F = ______ ° C ANS: 28.2° C 13. Directions: Convert the following weight as indicated. Round weight to the nearest tenth. 8 lb, 12.2 oz = _____ kg ANS: 4 14. Directions: Convert the following weight as indicated. Round weight to the nearest tenth. 9 lb, 9 oz = _____ kg ANS: 4.4 15. Directions: Convert the following weight as indicated. Round weight to the nearest tenth. 134 lb = _____ kg ANS: 60.9 16. Directions: Convert the following weight as indicated. Round weight to the nearest tenth. 6.4 lb = _____ kg ANS: 2.9 17. Directions: Convert the following weight as indicated. Round weight to the nearest tenth. 7.6 kg = _____ lb ANS: 16.7 18. Directions: Convert the following weight as indicated. Round weight to the nearest tenth. 63 kg = _____ lb ANS: 138.6 19. Directions: Convert the following weight as indicated. Round weight to the nearest tenth. 18 lb, 12 oz = _____ kg ANS: 8.5 20. Directions: Convert the following weight as indicated. Round weight to the nearest tenth. 41 lb, 2 oz = _____ kg ANS: 18.7 21. Directions: Convert the following weight as indicated. Round weight to the nearest tenth. 14 lb, 4 oz = _____ kg ANS: 6.5 22. Directions: Convert the following weight as indicated. Round weight to the nearest tenth. 39 3/4 lb = _____ kg ANS: 18.1 23. Directions: Convert the following weight as indicated. Round weight to the nearest tenth. 82 1/2 lb = _____ kg ANS: 37.5 24. Directions: Convert the following weight as indicated. Round weight to the nearest tenth. 20.8 kg = _____ lb ANS: 45.8 25. Directions: Convert the following weight as indicated. Round weight to the nearest tenth. 43.5 kg = _____ lb ANS: 95.7 26. Directions: Convert as indicated. 34 mm = _____ cm ANS: 3.4 27. Directions: Convert as indicated. 16.2 in = _____ cm ANS: 40.5 28. Directions: Convert as indicated. 27 cm = _____ in ANS: 10.8 29. A client’s rash measures 5 cm ANS: 2 4 cm. How much does this measure in inches? _____ in 1.6 30. A wound measures 4.2 cm in length. How many mm is this? _____ mm ANS: 42 31. An IV started at 3:10 AM is to be completed in 12 hr 30 min. Determine the completion time (traditional time). _____ ANS: 3:40 PM 32. An IV started at 0550 is to be completed in 5 hr 10 min. Determine the completion time (international time). _____ ANS: 1100 33. A client is to take a medication every 6 hours. The first dose is 6:30 AM. What time will the client take the next two doses? a. Traditional time _________________ b. International time ________________ ANS: a. 12:30 PM, 6:30 PM; b. 1230, 1830 34. Directions: Convert the following time to international time. 2:35 AM _________________ ANS: 0235 35. Directions: Convert the following time to international time. 10:19 PM _________________ ANS: 2219 36. Directions: Convert the following time to international time. 12:19 AM ________________ ANS: 0019 37. Directions: Convert the following time to traditional time. 2146 ___________ ANS: 9:46 PM 38. Directions: Convert the following times to traditional time. 2359 _____________ ANS: 11:59 PM