# Healthcare Math: Using the Metric System

Save this PDF as:

Size: px
Start display at page:

## Transcription

1 Healthcare Math: Using the Metric System Industry: Healthcare Content Area: Mathematics Core Topics: Using the metric system, converting measurements within and between the metric and US customary systems, using ratios and proportions, using decimals, solving multi-step problems Objective: Students will be able to convert measurements within and between the metric and US customary systems, perform mathematical operations with measurements, and express measurements using the correct unit notations. Materials included: Instructor s notes Scenario: Medical Assistant Student worksheets Handouts Quiz Answer Keys Industry Overview: According to the U.S. Department of Labor, the healthcare industry is expected to generate over 20% of all new jobs created in the U.S. economy between 2012 and 2022.* The healthcare industry is comprised of a vast array of jobs, ranging from nursing assistants to physicians. Mathematics and literacy skills are essential for students who plan to pursue a career in this field. The metric system is the most widely used measurement system in the world; it is also the primary measurement system used in the medical field. Healthcare professionals, including medical assistants, must have the ability to convert units of measurement within and between the metric and US customary systems. They must also be able to perform accurate calculations with measurements and express the results with the correct unit notations. * Source: 1

2 Instructor s notes: The purpose of this module is to help students develop and apply math skills in a healthcare workplace setting. The learning activities were designed to be incorporated throughout multiple instructional periods as math concepts are taught in a healthcare context. After completing the module, students should be able to: o Identify metric and customary units of measurement and their abbreviations o Convert units of measurement within and between the metric and customary systems o Solve multi-step measurement problems Setting the stage: Provide students with background information about the typical responsibilities of a medical assistant. You may want to have students use the occupational outlook handbook, O*NET and/or other relevant websites to research the job responsibilities, educational/training requirements, salary, etc. for this position.. In addition, you could have students view a YouTube video depicting the typical responsibilities of a medical assistant. (See links below) Bureau of Labor Statistics Occupational Outlook Handbook: Occupational Information Network (O*NET) A day in the life of a medical assistant For Activity 1: Introduce students to the metric system of measurement by having students measure various objects in the classroom with both customary and metric measuring devices for comparison and discussion purposes. Give students a copy of Handout 1 and explain the metric prefixes, values, abbreviations and equivalents. Show students how to use the shortcut method of moving the decimal point from one unit to another to convert metric measurements. Work several examples with the students and have them practice this skill independently. You may also want to show them alternative conversion methods, such as multiplying and dividing by powers of 10, using a conversion factor, or using a proportion. Provide additional practice as needed. Have students complete Worksheet 1. For Activity 2: Give students a copy of Handout 2 and explain US customary measurements, values, abbreviations, and equivalents. Discuss the approximate equivalents between metric and US customary measurements. Work the scenario examples with students. Answers to practice problems: 3 cups; 3 T; kg; 5 days. Have students complete Worksheet 2. For Activity 3: Demonstrate how to add, subtract, multiply and divide metric units. Work examples with students. A few have been included in the scenario; provide additional practice as needed. Answers to practice problems: 4.5L; 8500mL; 10L; 14.2L; 7.75L; 6L; 13 btls; 2100mL; 2.1L; 8.1LHave students complete Worksheet 3. Assessment: Quiz Measurements and calculations 2

3 Workplace Scenario: You are a medical assistant working at a clinic in a large metropolitan area. Currently, you are training Sam, a new employee who has just joined the staff. Sam is taking classes in order to prepare for admission to the medical assistant program at a local community college. You are helping Sam learn some of the skills he will need as a medical assistant. Activity 1: Understanding the metric system This week, you are teaching Sam about the metric system of measurement. You give him a copy of Handout 1 to help him learn about the metric system, the most widely used measurement system in the world. In addition, it is the primary system of measurement used in the medical field. The metric system is based on powers of 10 and there are three base units: The gram (g) is the metric base unit of weight. The liter (L) is the metric base unit for volume. The meter (m) is the metric base unit for length. You tell Sam that he will need to be able to convert units of measurement within the metric system. He will also need to learn the correct abbreviations for the most commonly used measurement units. The first chart on Handout 1 shows the relationship between the units of metric measurement. From left to right, the units are in order from largest to smallest. Using a mnemonic device, such as King Harry died from a disease called malaria, will help Sam remember the order. The second chart on Handout 1 shows some common metric units with their abbreviations and equivalencies. A short cut method to convert from one metric unit to another is to draw a line and label it with the prefixes, as shown below; you can then write in the base you are working with: gram, liter, or meter. Kilo------Hecto------Deca-----[base]------Deci------Centi------Milli Next, draw an arrow from the prefix you are starting with to the prefix you want to convert to, stopping and counting each prefix as you go. This is the number of places and direction you move the decimal point in your starting number. To change from a larger unit to a smaller unit, move the decimal point to the right. For example, to convert 5 kilograms into milligrams, you would move the decimal point six places to the right, as shown in the diagram below. Kilo------Hecto------Deca------gram------Deci------Centi------Milli 5 kg = _ 5,000,000 mg_ To change from a smaller unit to a larger unit, you move the decimal point to the left. If you want to convert 2500 milliliters into liters, you would move the arrow (decimal point) three places to the left. Kilo------Hecto------Deca-----liters------Deci------Centi------Milli 2500 ml = _ 2.5 L_ Note: As you move the decimal point to the right, you are actually multiplying by a power of 10 and as you move the decimal point to the left, you are dividing by a power of kg x 1,000,000 = _5,000,000 mg_ and 2500 ml 1000 = _ 2.5 L_ 3

4 Handout 1 Metric measurement chart Prefix Kilo- Hecto- Deca- Base Unit Deci- Centi- Milli- Weight kilogram gram milligram Volume kiloliter liter deciliter milliliter Length kilometer meter centimeter millimeter Value to Base The most common prefixes and values used in healthcare are highlighted in yellow. Another common healthcare prefix is micro = one millionth or of the base unit One way to remember the order of metric units for conversions is to use a mnemonic device such as: King Harry Died from a Disease Called Malaria Kilo hector deca (base) deci centi milli Common healthcare metric units with abbreviations and equivalents Unit Abbreviation Equivalents Weight gram (base unit) g 1 g = 1000 mg = 1,000,000 mcg milligram mg g = 1 mg = 1,000 mcg microgram mcg g = mg = 1mcg kilogram kg 1 kg = 1000 g Volume liter (base unit) L 1 L = 1000 ml deciliter dl 0.1 L = 1 dl milliliter ml L = 1 ml Length meter (base unit) m 1 m = 100 cm = 1000 mm centimeter cm 0.01 m = 1 cm = 10 mm millimeter mm m = 0.1 cm = 1 mm 4

5 Worksheet 1: Metric Measurements & Conversions Name: Give the metric prefix for the following parts of the base units Identify the metric base unit for the following. 5. Length 6. Volume 7. Weight Write the correct abbreviation for each of the following units. 8. kilogram 10. liter 12. millimeter 14. gram 9. meter 11. milligram 13. centimeter 15. microgram Which is larger? Circle the correct answer. 16. milligram or kilogram 17. centimeter or millimeter 18. milliliter or liter Convert the following as indicated ml = L g = mg mg = g cm = mm L = ml mg = mcg ml = L g = mg kg = g L = ml Questions 29 & 30: The doctor prescribes 500 mg of Amoxicillin to be taken 4 times per day. 29. What is the maximum number of milligrams per day? mg 30. What is the maximum number of grams per day? g 5

6 Activity 2: US Customary Measurements & Converting between Systems You tell Sam that he will also need to learn some customary household measurements and their equivalents. Although these measurements are seldom used in a medical setting, they are sometimes used when giving patients instructions for administering medications at home. You give Sam a copy of Handout 2. Chart one has a list of some customary household measurements with their abbreviations and equivalents. Chart two has a list of customary measurements with their approximate metric equivalents. Unlike metric units, household measurements are not based on the decimal system. Therefore, other methods must be used to convert these units of measurement. One method to convert customary units of measurement is to use a proportion. A proportion is two equal ratios. A ratio is a fraction that makes a comparison between two numbers. For example, you need to know how many tablespoons (T) are equal to 3 fluid ounces (fl oz). If you look at the equivalency chart, you find that 1 fl oz = 2 T. Use this information to set up a proportion. To solve a proportion, cross multiply and solve for x, as shown below. Remember to use labels and keep like units across from each other when setting up a proportion. 1 fl oz 2 T = 3 fl oz x T Cross multiply (1)x = (2)(3) Solve: x = 6 3 fl oz = 6 T How many cups are equal to 24 ounces? Set up a proportion to calculate the number of cups. 8fl oz 1 cup = 24 fl oz x cups (8)x = (1)(24) 8x = 24 x = oz = cups You can also use the proportion method to convert units between measurement systems. One of the clinic doctors gives a patient a bottle of liquid medication with orders to take 45 ml three times a day. You tell Sam he will need to calculate the number of tablespoons the patient needs to take for one dose of the medication. Sam uses the equivalency of 1 T = 15 ml from the chart to set up a proportion and calculate the correct number of tablespoons per dose. 15 ml 1 T = 45 ml x T 15(x) = (1)(45) 15x = 45 x = ml = T The doctor is prescribing medication for a patient based on weight in kilograms. The patient weighs 250 pounds. You tell Sam to use a proportion and convert the patient s weight into kilograms, rounding to the nearest tenths place, if necessary. 250 lb = kg Some problems will require multiple conversions and steps. Example: A child is taking 24 ml of medication 4 times per day. If the full bottle contains 16 fluid ounces of the medication, how many days will the bottle last? Step 1: Calculate the total ml per day. 24 ml/dose x 4 times per day = 96 ml/day Step 2: Convert 96 ml into ounces. 30 ml 1 fl oz = 96 ml x fl oz 30x = = 3.2 fl oz/day Step 3: Calculate the number of days a 16 fl oz bottle will last if 3.2 fl oz/day are taken. 3.2 fl oz 1 day = 16 fl oz x days 3.2x = = days 6

7 Handout 2: Customary Household Measurements Unit Abbreviation Equivalents drops gtts 1 t = 60 gtts teaspoon t tablespoon T 1 T = 3 t ounce (fluid) fl oz 1 fl oz = 2 T cup cup 1 cup = 8 fl oz pint pt 1 pt = 2 cups = 16 fl oz quart qt 1 qt = 2 pt = 4 cups = 32 fl oz ounce (weight) oz 16oz = 1 lb pound lb inches in 12 in = 1 ft feet ft yard yd 1 yd = 3 ft = 36 in Approximate Equivalents 1 t = 5 ml = 60 gtts 1 T = 3 t = 15 ml = ½ fl oz 1 fl oz = 30 ml = 6 t 1 L = 1 qt = 32 fl oz = 2 pt = 4 cups 1 pt = 16 fl oz = 2 cups 1 cup = 8 fl oz = 240 ml 1 kg = 2.2 lb 1 in = 2.5 = cm 7

8 Worksheet 2: Converting Measurements Name: Write the abbreviation or term as indicated for each of the following. 1. pint 4. T 2. pound 5. qt 3. drops 6. fl oz Complete the following equivalencies kg = lb 9. 1 in = cm 8. 1 fl oz = ml cup = ml Complete the following prportions oz_ = _x oz_ 12. _1 fl oz = _4 fl oz 16 T 3 T 30 ml x ml Solve the following problems. Round your answers to the nearest tenths place, if necessary. 13. A patient voids 150 ml into the specimen cup. How many fluid ounces is this? fl oz Questions 14 15: Sam weighed and measured an infant at the clinic today. The baby weighed 8.5 kg and was 60.5 cm long. The baby s mother wanted to know the baby s weight in pounds and length in inches. 14. The baby weighs lb. 15. The baby s length is in. 16. A patient received stitches for a laceration that was 5 inches long. Sam needs to record the length in centimeters in his chart. The wound is cm long. 17. A child threw up 2 cups of fluid in the examination room. How many ml is this? Questions 18 20: Sam gave the mother of the sick child a 16 oz bottle of liquid medication and told her the child should take 30 ml twice a day. 18. How many tablespoons is one dose? 19. How many total ml will the child take in one day? How many ounces is this? 20. How many days will the bottle of medication last? 8

9 Activity 3: Inventory calculations using metric measurements One of Sam s responsibilities is to help maintain the inventory of medications and supplies used at the clinic. He frequently works with metric units of liters (L) and milliliters (ml) to perform these tasks. Memorizing the equivalency, 1 L = 1000 ml, helps Sam make the unit conversions and calculations more efficiently. When converting liters to milliliters, you may use the shortcut method of moving the decimal point three places to the right, or you may multiply by For example, to change 3.5 L to ml: Kilo------Hecto------Deca-----[liter]------Deci------Centi------Milli 3.5 L = 3500 ml When converting milliliters to liters, you may use the shortcut method of moving the decimal point three places to the left, or you may divide by For example, change 7000 ml to L: Kilo------Hecto------Deca-----[liter]------Deci------Centi------Milli 7000 ml = _7 L_ Convert the following measurements as indicated ml = L 8.5 L = ml ml = L Inventory tasks at the clinic involve adding, subtracting, multiplying, and dividing unit measurements. Work through these examples with Sam. 4 L 750 ml ml 2L 300 ml 1750 ml _ = 7 vials + 2 L 650 ml ml x ml/vial 6 L 1400 ml = _7.4 L 6600 ml = _6.6 L 8L 1200 ml = _9.2 L Help Sam work the following problems, simplifying your answers as indicated. 5 L 250 ml 8500 ml 4L 250 ml 6500 ml = btl + 8 L 950 ml ml x ml/btl = L = L = L On Thursday morning, the office manager told Sam she needed to know how many liters of saline solution the clinic has on hand. Sam counted 6 liter containers in the storage cabinet and 6 vials containing 350 ml each of saline solution in the patient examination rooms. Since the office manager needed the amount in liters, Sam followed these steps: Step 1: Multiply 350 x 6 = ml Step 2: Convert the ml from step 1 into liters: L Step 3: Add the liters from step 2 to 6 liters to get the total: 6 L + L = L on hand. 9

10 Worksheet 3: Inventory Calculations with Metric Units Name: Questions 1 and 2: Sam counted 12 liters of hand sanitizer in the storage cabinet. He fills the dispensers in seven of the examination rooms as follows: 350 ml, 600 ml, 475 ml, 580 ml, 650 ml, 720 ml and 500 ml. 1. How many total milliliters did Sam use to fill the dispensers? 2. After filling the dispensers, how many liters of sanitizer remain in the storage cabinet? 3. Sam helped you prepare 35 sets of injections of dopamine for the clinic this week. Each injection is 50 milliliters. How many liters of dopamine did the clinic use this week? 4. The clinic used 9 liters 450 milliliters of saline solution during the last 4 weeks. On average, how many milliliters of saline solution does the clinic use each week? 5. Sam restocked 275 ml of children s ibuprofen in six of the exam rooms. What is the total amount of children s ibuprofen he used in liters? Questions 6 and 7: The clinic has 3 liters of flu vaccine on hand. Each flu shot consists of 5 milliliters of the vaccine. 6. Sam needs to know how many 5 milliliter flu injections he can get from the 3 liter container. 7. If the clinic gives 350 flu shots this week, how many liters of the vaccine will be left? 8. Sam needs to refill the ammonium solution dispenser in one of the exam rooms with 1 liter 275 milliliters of the solution. If he fills the dispenser from a 6-liter container, how many liters of ammonium solution will be left in the container? Questions 9 and 10: The clinic uses about 15 liters and 500 milliliters of disinfectant cleaner each month. 9. How many liters of disinfectant does the clinic use in 6 months? 10. After taking inventory, Sam found there was 32.5 L of disinfectant cleaner in the supply cabinet. How many liters of disinfectant cleaner should Sam order so that the clinic will have a 6-month supply? 10

11 Quiz: Using the Metric System Name: Convert the following as indicated g = mg in = cm ml = L 2. 5 fl oz = ml ml = T kg = lb Answer the following questions. 7. A liter is the metric base unit of measure for. 8. What is the mnemonic device you can use to remember the order of metric units? 9. An infant s head circumference is 40 cm. The parents want to know the measurement in inches. Sam tells the parents the infant s head circumference is in. 10. As per the doctor s instructions, a patient weighs himself at home every Friday. He reports that he weighed 286 pounds last Friday. Sam needs to record the patient s weight in kilograms. The patient weighs kg. 11. The doctor prescribed 30 ml of a medication per dose for a patient. How many tablespoons should Sam tell the patient to take per dose? T 12. The doctor prescribed 10 ml of Betadine concentrate in 480 ml of warm water as a soak for a toe infection. Using common household measures, how should Sam instruct the patient to prepare the solution at home? 13. The total quantity of saline solution on hand at the clinic is 11 liters 750 milliliters. Dr. Sarah wants the clinic to have a total of 40 liters of saline solution in stock. How many liters of saline solution does Sam need to order? 14. The clinic has 400 ml of polio vaccine on hand. How many 0.5 ml polio injections can be prepared from this supply? 15. If Sam has 1 liter 650 milliliters of cleaning solution in each of the eight examinations rooms, how many liters of cleaner are there in all? 11

12 Worksheet 1: Metric Measurements & Conversions Answer Key Give the metric prefix for the following parts of the base units milli centi micro kilo Identify the metric base unit for the following. 5. Length meter 6. Volume liter 7. Weight gram Write the correct abbreviation for each of the following units. 8. kilogram _kg 10. liter L 12. millimeter ml 14. gram g 9. meter m 11. milligram _mg 13. centimeter cm 15. microgram mcg_ Which is larger? Circle the correct answer. 16. milligram or kilogram 17. centimeter or millimeter 18. milliliter or liter Convert the following as indicated ml = 4.5 L g = 2500 mg mg = 0.5 g cm = _405 mm L = 40 ml mg = 3000 mcg ml = 0.8 L g = 1200 mg kg = 2000 g L = 1500 ml Questions 29 & 30: The doctor prescribes 500 mg of Amoxicillin to be taken 4 times per day. 29. What is the maximum number of milligrams per day? 2000 mg 30. What is the maximum number of grams per day? 2 g 12

13 Worksheet 2: Converting Measurements Answer Key Write the abbreviation or term as indicated for each of the following. 16. pint pt 4. T tablespoon 17. pound _ lb 5. qt quart 18. drops gtts 6. fl oz _fluid ounce Complete the following equivalencies kg = 2.2 lb 9. 1 in = 2.54 cm 7. 1 fl oz = 30 ml cup = 240 ml Complete the following prportions oz_ = _1.5 oz_ 12. _1 fl oz = _4 fl oz 16 T 3 T 30 ml 120 ml Solve the following problems. Round your answers to the nearest tenths place, if necessary. 13. A patient voids 150 ml into the specimen cup. How many fluid ounces is this? _5 fl oz_ Questions 14 15: Sam weighed and measured an infant at the clinic today. The baby weighed 8.5 kg and was 60.5 cm long. The baby s mother wanted to know the baby s weight in pounds and length in inches. 14. The baby weighs 18.7 lb. 15. The baby s length is 24.2 in. 16. A patient received stitches for a laceration that was 5 inches long. Sam needs to record the length in centimeters in his chart. The wound is 12.5 cm long. 17. A child threw up 2 cups of fluid in the examination room. How many ml is this? 480 ml_ Questions 18 20: Sam gave the mother of the sick child a 16 oz bottle of liquid medication and told her the child should take 30 ml twice a day. 18. How many tablespoons is one dose? 2 T 19. How many total ml will the child take in one day? _60 ml_ How many ounces is this? _2 fl oz_ 20. How many days will the bottle of medication last? _8 days_ 13

14 Worksheet 3: Inventory Calculations with Metric Units Answer Key Questions 1 and 2: Sam counted 12 liters of hand sanitizer in the storage cabinet. He fills the dispensers in seven of the examination rooms as follows: 350 ml, 600 ml, 475 ml, 580 ml, 650 ml, 720 ml and 500 ml. 1. How many total milliliters did Sam use to fill the dispensers? 3875 ml 2. After filling the dispensers, how many liters of sanitizer remain in the storage cabinet? 3875 ml = L, = L 3. Sam helped you prepare 35 sets of injections of dopamine for the clinic this week. Each injection is 50 milliliters. How many liters of dopamine did the clinic use this week? 35 x 50 = 1750 ml = 1.75 L 4. The clinic used 9 liters 450 milliliters of saline solution during the last 4 weeks. On average, how many milliliters of saline solution does the clinic use each week? 9 L = 9000 ml, = ml 5. Sam restocked 275 ml of children s ibuprofen in six of the exam rooms. What is the total amount of children s ibuprofen he used in liters? 275 x 6 = 1650 ml = 1.65 L Questions 6 and 7: The clinic has 3 liters of flu vaccine on hand. Each flu shot consists of 5 milliliters of the vaccine. 6. Sam needs to know how many 5 milliliter flu injections he can get from the 3 liter container. 3 L = 3000 ml, = 600 flu injections 7. If the clinic gives 350 flu shots this week, how many liters of the vaccine will be left? 350 x 5 ml/shot = 1750, = 1250 ml = 1.25 L 8. Sam needs to refill the ammonium solution dispenser in one of the exam rooms with 1 liter 275 milliliters of the solution. If he fills the dispenser from a 6-liter container, how many liters of ammonium solution will be left in the container? = 4.725L Questions 9 and 10: The clinic uses about 15 liters and 500 milliliters of disinfectant cleaner each month. 9. How many liters of disinfectant does the clinic use in 6 months? 500 ml =.5 L, 15.5 x 6 = 93 L 10. After taking inventory, Sam found there was 32.5 liters of disinfectant cleaner in the supply cabinet. How many liters of disinfectant cleaner should Sam order so that the clinic will have a 6-month supply? = 60.5 L 14

15 Quiz: Using the Metric System Answer Key Convert the following as indicated g = _30,000 mg in = _16.25 cm ml = _ L 2. 5 fl oz = _150 ml ml = 4 T kg = 176 _lb Answer the following questions. 7. A liter is the metric base unit of measure for volume. 8. What is the mnemonic device you can use to remember the order of metric units? King Harry Died from a Disease Called Malaria 9. An infant s head circumference is 40 cm. The parents want to know the measurement in inches. Sam tells the parents the infant s head circumference is _16 in. 10. As per the doctor s instructions, a patient weighs himself at home every Friday. He reports that he weighed 286 pounds last Friday. Sam needs to record the patient s weight in kilograms. The patient weighs 130 _kg. 11. The doctor prescribed 30 ml of a medication per dose for a patient. How many tablespoons should Sam tell the patient to take per dose? 2 T 12. The doctor prescribed 10 ml of Betadine concentrate in 480 ml of warm water as a soak for a toe infection. Using common household measures, how should Sam instruct the patient to prepare the solution at home? 10 ml = 2 t and 480 ml = 2 cups; Sam should tell the patient to mix 2 teaspoons of Betadine concentrate in 2 cups of warm water to prepare the solution. 13. The total quantity of saline solution on hand at the clinic is 11 liters 750 milliliters. Dr. Sarah wants the clinic to have a total of 40 liters of saline solution in stock. How many liters of saline solution does Sam need to order? Convert 750 ml to.75 L; = L 14. The clinic has 400 ml of polio vaccine on hand. How many 0.5 ml polio injections can be prepared from this supply? = 800 polio injections 15. If Sam counted 1 liter 650 milliliters of cleaning solution in each of the eight examinations rooms, how many liters of cleaner are there in all? Convert 650 ml to.65 L; 1.65 x 8 = 13.2 L 15

### Healthcare Math: Converting Measurements & Calculating Dosage per Body Weight

Healthcare Math: Converting Measurements & Calculating Dosage per Body Weight Industry: Healthcare Content Area: Mathematics Core Topics: Using the metric system, converting units of measurement using

### MOST COMMON METRIC UNITS USED IN THE MEDICAL FIELD *BASE. deci. King Henry Died (from a) Disease Called Mumps. (k) (h) (da) gram (g) (d) (c) (m)

MOST COMMON METRIC UNITS USED IN THE MEDICAL FIELD Micro (mc) microgram 0 6 One millionth 0.00000 Milli (m) milligram milliliter* millimeter 0 3 One thousandth 0.00 Centi (c) centimeter 0 2 One hundredth

### Name: Date: CRN: Scientific Units of Measurement & Conversion Worksheet

Name: Date: CRN: Scientific Units of Measurement & Conversion Worksheet Principle or Rationale: Scientific measurements are made and reported using the metric system and conversion between different units

### Measurement. Customary Units of Measure

Chapter 7 Measurement There are two main systems for measuring distance, weight, and liquid capacity. The United States and parts of the former British Empire use customary, or standard, units of measure.

### Name: Date: CRN: Bio 210A Scientific Units of Measurement & Conversion Worksheet

Name: Date: CRN: Bio 210A Scientific Units of Measurement & Conversion Worksheet Principle or Rationale: Scientific measurements are made and reported using the metric system and conversion between different

### MATH FOR NURSING MEASUREMENTS. Written by: Joe Witkowski and Eileen Phillips

MATH FOR NURSING MEASUREMENTS Written by: Joe Witkowski and Eileen Phillips Section 1: Introduction Quantities have many units, which can be used to measure them. The following table gives common units

### Nursing 131 Household to Metric Conversion

Nursing 3 Household to Metric Conversion Slide 2 & 3 In the metric system liquid volumes are measured in milliliters or liters. Weight is measured in micrograms, milligrams, grams, or kilograms. liter

### 1 GRAM = HOW MANY MILLIGRAMS?

1 GRAM = HOW MANY MILLIGRAMS? (1) Take the 1-gram expression and place the decimal point in the proper place. 1 gram is the same as 1.0 gram (decimal point in place) (2) Move that decimal point three places

### Lesson 21: Getting the Job Done Speed, Work, and Measurement Units

Lesson 2 6 Lesson 2: Getting the Job Done Speed, Work, and Measurement Student Outcomes Students use rates between measurements to convert measurement in one unit to measurement in another unit. They manipulate

### Healthcare Math: Calculating IV Flow Rates

Healthcare Math: Calculating IV Flow Rates Industry: Healthcare Content Area: Mathematics Core Topics: Using formulas, converting time measurements, applying medical terms to math problems, rounding decimals

### Prefixes and their values: a. Micro (mc) [write out microgram] 1,000 micrograms = 1 milligram b. Milli (m) 1,000 milligrams = 1 gram g.

1 I. Prefixes and their values: a. Micro (mc) [write out microgram] i. Millionth ii. 1 microgram = 0.000001 gram iii. 1 microgram = 0.001 milligram 1. 1,000 micrograms = 1 milligram = 0.001 gram 2. 500

### HFCC Math Lab General Math Topics -1. Metric System: Shortcut Conversions of Units within the Metric System

HFCC Math Lab General Math Topics - Metric System: Shortcut Conversions of Units within the Metric System In this handout, we will work with three basic units of measure in the metric system: meter: gram:

### How to Solve Drug Dosage Problems

How to Solve Drug Dosage Problems General Information ----------------------------------------- ----- ------------------ page 2 Converting between units -----------------------------------------------------------

### Learning Centre CONVERTING UNITS

Learning Centre CONVERTING UNITS To use this worksheet you should be comfortable with scientific notation, basic multiplication and division, moving decimal places and basic fractions. If you aren t, you

### Converting Units of Measure Measurement

Converting Units of Measure Measurement Outcome (lesson objective) Given a unit of measurement, students will be able to convert it to other units of measurement and will be able to use it to solve contextual

### YOU MUST BE ABLE TO DO THE FOLLOWING PROBLEMS WITHOUT A CALCULATOR!

DETAILED SOLUTIONS AND CONCEPTS - SYSTEMS OF MEASUREMENT Prepared by Ingrid Stewart, Ph.D., College of Southern Nevada Please Send Questions and Comments to ingrid.stewart@csn.edu. Thank you! YOU MUST

### Healthcare Math: Calculating Dosage

Healthcare Math: Calculating Dosage Industry: Healthcare Content Area: Mathematics Core Topics: Applying medical abbreviations to math problems, using formulas, solving algebraic equations Objective: Students

### Pharmacy Math and Calculations 1/2 +3/4 5/6+ 6/5 3 2/ /4 7/8 2/3 1/2 1/4 5 5/8 2 2/ ,

Perform the necessary functions. Pharmacy Math and Calculations 428 86 37 5 3975 +25-32 +235-38 + 743 1/2 +3/4 5/6+ 6/5 3 2/3 + 5 3/4 7/8 2/3 1/2 1/4 5 5/8 2 2/3 4.58 15.35 3,895 +2.87-12.98-43.68 4.25

### MEASUREMENTS. U.S. CUSTOMARY SYSTEM OF MEASUREMENT LENGTH The standard U.S. Customary System units of length are inch, foot, yard, and mile.

MEASUREMENTS A measurement includes a number and a unit. 3 feet 7 minutes 12 gallons Standard units of measurement have been established to simplify trade and commerce. TIME Equivalences between units

### Jones and Bartlett Publishers, LLC. NOT FOR SALE OR DISTRIBUTION.

Chapter 3 Metric System You shall do no unrighteousness in judgment, in measure of length, in weight, or in quantity. Just balances, just weights, shall ye have. Leviticus. Chapter 19, verse 35 36. Exhibit

### Dimensional Analysis is a simple method for changing from one unit of measure to another. How many yards are in 49 ft?

HFCC Math Lab NAT 05 Dimensional Analysis Dimensional Analysis is a simple method for changing from one unit of measure to another. Can you answer these questions? How many feet are in 3.5 yards? Revised

### USEFUL RELATIONSHIPS

Use the chart below for the homework problems in this section. USEFUL RELATIONSHIPS U.S. Customary 12 in. = 1 ft 3 ft = 1 yd 280 ft = 1 mi 16 oz = 1 lb 2000 lbs = 1 T 8 fl oz = 1 c 2 c = 1 pt 2 pts = 1

### Lab 1: Units and Conversions

Lab 1: Units and Conversions The Metric System In order to measure the properties of matter, it is necessary to have a measuring system and within that system, it is necessary to define some standard dimensions,

### REVIEW SHEETS INTRODUCTORY PHYSICAL SCIENCE MATH 52

REVIEW SHEETS INTRODUCTORY PHYSICAL SCIENCE MATH 52 A Summary of Concepts Needed to be Successful in Mathematics The following sheets list the key concepts which are taught in the specified math course.

### Activity Standard and Metric Measuring

Activity 1.3.2 Standard and Metric Measuring Introduction Measurements are seen and used every day. You have probably worked with measurements at home and at school. Measurements can be seen in the form

### Lesson 11: Measurement and Units of Measure

LESSON 11: Units of Measure Weekly Focus: U.S. and metric Weekly Skill: conversion and application Lesson Summary: First, students will solve a problem about exercise. In Activity 1, they will practice

### Section 1.7 Dimensional Analysis

Dimensional Analysis Dimensional Analysis Many times it is necessary to convert a measurement made in one unit to an equivalent measurement in another unit. Sometimes this conversion is between two units

### LESSON 9 UNITS & CONVERSIONS

LESSON 9 UNITS & CONVERSIONS INTRODUCTION U.S. units of measure are used every day in many ways. In the United States, when you fill up your car with gallons of gas, drive a certain number of miles to

### 4.5.1 The Metric System

4.5.1 The Metric System Learning Objective(s) 1 Describe the general relationship between the U.S. customary units and metric units of length, weight/mass, and volume. 2 Define the metric prefixes and

### Activity Standard and Metric Measuring

Activity 1.3.1 Standard and Metric Measuring Introduction Measurements are seen and used every day. You have probably worked with measurements at home and at school. Measurements can be seen in the form

### Activity Standard and Metric Measuring

Activity 1.3.1 Standard and Metric Measuring Introduction Measurements are seen and used every day. You have probably worked with measurements at home and at school. Measurements can be seen in the form

### INFORMATION FOR THE NURSING BASIC MATH EXAM

INFORMATION FOR THE NURSING BASIC MATH EXAM Successful completion of this exam is required of all nursing majors in their first year at Keene State College and transfer students. The exam will be given

### Metric Conversions Ladder Method. T. Trimpe 2008

Metric Conversions Ladder Method T. Trimpe 2008 http://sciencespot.net/ KILO 1000 Units 1 2 HECTO 100 Units Ladder Method DEKA 10 Units 3 Meters Liters Grams DECI 0.1 Unit CENTI 0.01 Unit MILLI 0.001 Unit

### Handout Unit Conversions (Dimensional Analysis)

Handout Unit Conversions (Dimensional Analysis) The Metric System had its beginnings back in 670 by a mathematician called Gabriel Mouton. The modern version, (since 960) is correctly called "International

### 1,892.7 ml. 4-7 Convert Between Systems. Complete. Round to the nearest hundredth if necessary in. cm SOLUTION:

Complete. Round to the nearest hundredth if necessary. 1. 5 in. cm Since 1 inch 2.54 centimeters, multiply by. So, 5 inches is approximately 12.7 centimeters. 12.7 2. 2 qt ml Since 946.35 milliliters 1

### Units of Measurement and Dimensional Analysis

POGIL ACTIVITY.2 POGIL ACTIVITY 2 Units of Measurement and Dimensional Analysis A. Units of Measurement- The SI System and Metric System T here are myriad units for measurement. For example, length is

### How do I do that unit conversion?

Name Date Period Furrey How do I do that unit conversion? There are two fundamental types of unit conversions in dimensional analysis. One is converting old units to new units with in the same system of

### Conversions in the Metric System

The metric system is a system of measuring. It is used for three basic units of measure: metres (m), litres (L) and grams (g). Measure of Example Litres (L) Volume 1 L of juice Basic Units Grams (g) Mass

### Measurements. ESSENTIAL QUESTION How do you convert units within a measurement system? 6.4.H

LESSON 8.4 Converting Measurements Proportionality Convert units within a measurement system, including the use of proportions and unit rates.? ESSENTIAL QUESTION How do you convert units within a measurement

### Mathematical Calculations in Health Care

Mathematical Calculations in Health Care Course Health Science Unit X Occupationally Specific Knowledge and Skills Essential Question How will health care workers apply mathematical concepts in the coming

### Title: Basic Medical Conversion Formulas

Stackable Cert. Documentation Technology Study / Life skills EL-Civics Career Pathways Police Paramedic Fire Rescue Medical Asst. EKG / Cardio Phlebotomy Practical Nursing Healthcare Admin Pharmacy Tech

### MEASUREMENT. Historical records indicate that the first units of length were based on people s hands, feet and arms. The measurements were:

MEASUREMENT Introduction: People created systems of measurement to address practical problems such as finding the distance between two places, finding the length, width or height of a building, finding

### 18) 6 3 4 21) 1 1 2 22) 7 1 2 23) 19 1 2 25) 1 1 4. 27) 6 3 qt to cups 30) 5 1 2. 32) 3 5 gal to pints. 33) 24 1 qt to cups

Math 081 Chapter 07 Practice Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 18) 6 3 4 gal to quarts Convert as indicated. 1) 72 in. to feet 19)

### The metric system, science, and you!

The metric system, science, and you! In science class, we will be using the Metric System. The metric system is a system of measurement that is used by scientists all over the world. The metric system

### Section 1.6 Systems of Measurement

Systems of Measurement Measuring Systems of numeration alone do not provide enough information to describe all the physical characteristics of objects. With numerals, we can write down how many fish we

### UNIT 1 MASS AND LENGTH

UNIT 1 MASS AND LENGTH Typical Units Typical units for measuring length and mass are listed below. Length Typical units for length in the Imperial system and SI are: Imperial SI inches ( ) centimetres

### Systems of Measurement

Systems of Measurement Course Principles of Health Science Unit X Vital Signs Essential Question What s math got to do with it? TEKS 130.202 (c)1a, 1B, 1D Prior Student Learning Basic understanding of

### 1. What does each unit represent? (a) mm = (b) m =

Metrics Review Name: Period: You will need a metric ruler and ten pennies for this activity. LENGTH 1. What does each unit represent? (a) mm = (b) m = (c) cm = (d) km = 2. How much does each one equal?

### KeyTrain Competencies Level 6

KeyTrain Competencies Level 6 Reduce Fractions 20 5 = 4 24 2 = 12 2 = 6 2 = 3 25 5 = 5 40 2 = 20 2 = 10 2 = 5 OR 24 4 = 6 2 = 3 40 4 = 10 2 = 5 To reduce fractions, you must divide the top number of the

### HESI PREP TEST. SLC Lake Worth Math Lab

1 PREP TEST 2 Explanation of scores: 90% to 100%: Excellent Super job! You have excellent Math skills and should have no difficulty calculating medication administration problems in your program. 80% to

### Title: Basic Metric Measurements Conversion

Stackable Certificate Documentation Technology Study / Life skills EL-Civics Career Pathways Police Paramedic Fire Rescue Medical Asst. EKG / Cardio Phlebotomy Practical Nursing Healthcare Admin Pharmacy

### Conversions and Dimensional Analysis

Conversions and Dimensional Analysis Conversions are needed to convert one unit of measure into another equivalent unit of measure. Ratios, sometimes called conversion facts, are fractions that denote

### OAKLAND UNIVERSITY SCHOOL OF NURSING

OAKLAND UNIVERSITY SCHOOL OF NURSING MEDICATION ADMINISTRATION MODULE A Basic (Sophomore Year) and Accelerated 2 nd Degree (1 st Semester) Nursing Programs Faculty: JOANN KAPA, MSN, RN Adjunct Instructor

### Don t Make Me Think: Essential Pharmacy Math for Pharmacy Technicians Made Easy

J & D Educational Services, Inc. In association and co-sponsorship with Texas Tech University HSC School of Pharmacy Provides continuing education for certified pharmacy technicians. Texas Tech University

### The Metric System, Measurements, and Scientific Inquiry (Chapter 23)

GEOLOGY 306 Laboratory Instructor: TERRY J. BOROUGHS NAME: The Metric System, Measurements, and Scientific Inquiry (Chapter 23) For this assignment you will require: a calculator & a metric ruler. Objectives:

### Fractions, Ratios, and Proportions Work Sheets. Contents

Fractions, Ratios, and Proportions Work Sheets The work sheets are grouped according to math skill. Each skill is then arranged in a sequence of work sheets that build from simple to complex. Choose the

### Math-in-CTE Lesson Plan

Math-in-CTE Lesson Plan Lesson Title: Back to Basics Lesson: 01 Occupational Area: Health Services Assistant CTE Concept(s): Medical Math unit conversions Unit conversions, ratios, proportions, exponents,

### BOSTON REED. Clinical Medical Assistant Program Math Review Handout. Addition... Page 2. Subtraction... Page 3. Multiplication...

BOSTON REED Clinical Medical Assistant Program Math Review Handout Contents Addition... Page 2 Subtraction... Page 3 Multiplication... Page 4 Decimals... Page 5 Decimal Practice Math... Page 7 Fractions...

### Using Ratio and Proportion

Chapter 3: Calculation of Dosages and Solution Rates Using Ratio and Proportion 4 Contact Hours By Alene Burke, MSN, RN. Alene received her Master of Science in Nursing Administration and Nursing Education

### Section 2 Solving dosage problems

Section 2 Solving dosage problems Whether your organization uses a bulk medication administration system or a unit-dose administration system to prepare to administer pediatric medications, you may find

### Sample Questions Chapter 2. Stoker

Sample Questions Chapter 2. Stoker 1. The mathematical meaning associated with the metric system prefixes centi, milli, and micro is, respectively, A) 2, 4, and 6. B) 2, 3, and 6. C) 3, 6, and 9. D) 3,

### Maths for Nurses: Numeracy: The Essentials

Maths for Nurses: Numeracy: The Essentials This booklet will provide an overview of the basic numeracy skills for Nursing students. If you have any problems in answering the questions within the booklet

### Units of Measure Customary to Whom? .Customary Measurement It s All Based on Powers of 10! Metric Measurement...

Units of Measure Automakers often include both metric and English units of measure in their instruments. This speedometer shows the car's speed in both kilometers per hour and miles per hour. Since this

### Prealgebra Textbook. Chapter 6 Odd Solutions

Prealgebra Textbook Second Edition Chapter 6 Odd Solutions Department of Mathematics College of the Redwoods 2012-2013 Copyright All parts of this prealgebra textbook are copyrighted c 2009 in the name

### PART II MODERN METRIC SYSTEM AND MEDICATION CALCULATIONS

PART II MODERN METRIC SYSTEM AND MEDICATION CALCULATIONS C HAPTER 3 MEASUREMENT UNITS AND CONVERSIONS FOR MEDICATIONS C HAPTER 4 PATIENT RECORDS, MEDICATION ORDERS AND LABELS C HAPTER 5 SOLID AND LIQUID

### Chapter 2 Measurement and Problem Solving

Introductory Chemistry, 3 rd Edition Nivaldo Tro Measurement and Problem Solving Graph of global Temperature rise in 20 th Century. Cover page Opposite page 11. Roy Kennedy Massachusetts Bay Community

### Metric System. The tables above lists the most common metric prefixes and their relationship to the central unit that has no prefix.

Metric System Many properties of matter are quantitative; that is, they are associated with numbers. When a number represents a measured quantity, the unit of that quantity must always be specified. To

### A Pharmacy Tech s Quick Reference of Pharmacy Conversions

A Pharmacy Tech s Quick Reference of Pharmacy Conversions This e-book is a publication of: 0 P a g e TABLE OF CONTENTS 1 THE FIRST AND LAST EQUATION YOU LL NEED 2 METRIC SYSTEM 3 APOTHECARY SYSTEM 4 AVOIRDUPOIS

### Metric Units. The Metric system is so simple! It is based on the number 10!

Metric Units Name The Metric system is so simple! It is based on the number 10! Below is a diagram of a section of a ruler Each numbered line represents one centimeter Each small line represents one tenth

### METRIC SYSTEM CONVERSION FACTORS

METRIC SYSTEM CONVERSION FACTORS LENGTH 1 m = 1 cm 1 m = 39.37 in 2.54 cm = 1 in 1 m = 1 mm 1 m = 1.9 yd 1 km =.621 mi 1 cm = 1 mm 1 cm =.394 in 3 ft = 1 yd 1 km = 1 m 1 cm =.328 ft 1 ft = 3.48 cm 6 1

### Math 98 Supplement 2 LEARNING OBJECTIVE

Dimensional Analysis 1. Convert one unit of measure to another. Math 98 Supplement 2 LEARNING OBJECTIVE Often measurements are taken using different units. In order for one measurement to be compared to

### Using English and Metric Measurements

Lesson B3 1 Using English and Metric Measurements Unit B. Employability in Agricultural/Horticultural Industry Problem Area 3. Using Mathematics Skills Lesson 1. Using English and Metric Measurements New

### From the Text. RSPT 2217 Calculating Drug Doses. Key Terms and Definitions. Metric system. Drug amounts for common percentage strengths

RSPT 2217 Gardenhire Chapter 4 From the Text Key Terms and Definitions Page 65 Metric system Table 4-1; page 66 Drug amounts for common percentage strengths Table 4-2; page 73 Self-Assessment Questions

### Appendix C: Conversions and Calculations

Appendix C: Conversions and Calculations Effective application of pesticides depends on many factors. One of the more important is to correctly calculate the amount of material needed. Unless you have

### Conversion Formulas and Tables

Conversion Formulas and Tables Metric to English, Introduction Most of the world, with the exception of the USA, uses the metric system of measurements exclusively. In the USA there are many people that

### Relationships Between Quantities

Relationships Between Quantities MODULE 1? ESSENTIAL QUESTION How do you calculate when the numbers are measurements? CALIFORNIA COMMON CORE LESSON 1.1 Precision and Significant Digits N.Q.3 LESSON 1.2

### KeyTrain Level 5. For. Level 5. Published by SAI Interactive, Inc., 340 Frazier Avenue, Chattanooga, TN

Introduction For Level 5 Published by SAI Interactive, Inc., 340 Frazier Avenue, Chattanooga, TN 37405. Copyright 2000 by SAI Interactive, Inc. KeyTrain is a registered trademark of SAI Interactive, Inc.

### Measurement Units and Tools

Measurement Units and Tools Strand B: Measurement Benchmark MA.B.1.1.1: The student uses and describes basic measurement concepts including length, weight, digital and analog time, temperature, and capacity.

### Title: Basic Metric Measurements Conversion (police)

X X Stackable Certificate Documentation Technology Study / Life skills EL-Civics Career Pathways Police Paramedic Fire Rescue Medical Asst. EKG / Cardio Phlebotomy Practical Nursing Healthcare Admin Pharmacy

### BASIC MATH CALCULATIONS

BASIC MATH CALCULATIONS It is highly suggested you complete this packet to assist you in being successful with the basic math competency test. You will be allowed to use a BASIC calculator for all math

### What is the SI system of measurement?

ALE 3. SI Units of Measure & Unit Conversions Name CHEM 161 K. Marr Team No. Section What is the SI system of measurement? The Model the International System of Units (Reference: Section 1.5 in Silberberg

### 4 th Grade Math Parent Letter Chapter 12

In an effort to keep parents and guardians informed of the expectations and content being covered in math class this year, this informational handout will be provided for each chapter. Its intent is to

### Scientific Notation: Significant Figures:

Honors Chemistry Riverside STEM Academy Mrs. Hampton All of the material from Chapter 3 of our text book, Prentice Hall Chemistry, has been covered in our 8 th grade science course. Please review this

### Metric System Conversion Factors 1

Fact Sheet ENH-94 November 1993 Metric System Conversion Factors 1 L. B. McCarty and Danny Colvin 2 AREA EQUIVALENTS 1 Cubic Yard (yd 3 ) 1 Acre 1 Hectare (ha) 1 Acre-inch 1 Square Foot (ft 2 ) 1 Are (a)

### Dimensional Analysis I: Length, Mass, Volume and Area Conversions

EXPERIMENT Dimensional Analysis I: Length, Mass, Volume and Area Conversions Student will use the Dimensional Analysis Map to introduce / reinforce the process of basic unit conversions in chemistry. OBJECTIVE

### C HAPTER 1 F RACTIONS AND D ECIMALS

C HAPTER 1 F RACTIONS AND D ECIMALS Learning Outcomes 1-1 Compare the values of fractions in various formats. 1- Accurately add, subtract, multiply, divide fractions. 1- Convert fractions to mixed numbers

### Changing Fractions to Decimals on a Calculator

Changing Fractions to Decimals on a Calculator You can change fractions to decimals on a calculator. Do you remember how to change a fraction to a decimal? Divide the numerator by the denominator. For,

### Metric Units of Weight and Volume

7.3 Metric Units of Weight and Volume 7.3 OBJECTIVES 1. Use appropriate metric units of weight 2. Convert metric units of weight 3. Estimate metric units of volume 4. Convert metric units of volume The

### millimeter centimeter decimeter meter dekameter hectometer kilometer 1000 (km) 100 (cm) 10 (dm) 1 (m) 0.1 (dam) 0.01 (hm) 0.

Section 2.4 Dimensional Analysis We will need to know a few equivalencies to do the problems in this section. I will give you all equivalencies from this list that you need on the test. There is no need

### Units of Measurement and Conversions

Units of Measurement and Conversions OBJECTIVES/RATIONALE Basic math principles are important in providing quality client care when pharmaceuticals are involved and knowledge of various measurement systems

### Project: Dimensional Analysis

Project: Dimensional Analysis How big do you think one of the blocks that make up the Cheops Pyramid at Giza is? This question actually came up in conversation with some friends at our house a few years

### The Metric System. The Metric System. RSPT 1317 Calculating Drug Doses. RSPT 2317 Calculating Drug Doses

RSPT 2317 The Metric System The Metric System primary units of measure are length = meter volume = liter mass = gram to change the primary units add Latin prefixes for smaller sizes add Greek prefixes

### Objective To introduce a formula to calculate the area. Family Letters. Assessment Management

Area of a Circle Objective To introduce a formula to calculate the area of a circle. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment

### Appendix C. General Tables of Units of Measurement 1. TABLES OF METRIC UNITS OF MEASUREMENT

Appendix C General Tables of Units of Measurement These tables have been prepared for the benefit of those requiring tables of units for occasional ready reference. In Section 4 of this Appendix, the tables

### Convert to. Fraction. Convert to. Decimal. Convert to. Percentage

14 DECIMAL Divide the numerator by the denominator. When there is nothing left to bring down, add a decimal and zero. 0.125 8 1.000-8 20-16 40-40 PERCENTAGE Multiply by 100 and add a percent sign or SWOOPIE

### CH 304K Practice Problems

1 CH 304K Practice Problems Multiple Choice Identify the letter of the choice that best completes the statement or answers the question. 1. How many millimeters are there in 25 feet? a. 7.6 10 2 mm b.

### Numbers, Scientific Method, Conversions and Density. CHEM 121 Lab Experiment

Numbers, Scientific Method, Conversions and Density CHEM 121 Lab Experiment Student Name CHEM 121 Section/Date Lab Instructor Sign Off Page 1 of 16 Conversions and Density Introduction Perhaps the most