Math and Dosage Calculations Chapter 4
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Questions and Answers

A measure of 2.566 km equals how many centimeters?

256,600 cm

A measure of 1,433 mm equals how many meters?

1.433 m

A measure of 11.455 m equals how many centimeters?

1,145.5 cm

A measure of 72,594 mg equals how many kilograms?

<p>0.072594 kg</p> Signup and view all the answers

A measure of 0.027565 g equals how many micrograms?

<p>27,565 mcg</p> Signup and view all the answers

A measure of 18,455.7 g equals how many kilograms?

<p>18.4557 kg</p> Signup and view all the answers

The most widely used system of measurement in the world is the?

<p>metric system</p> Signup and view all the answers

The gram is the basic unit of _____ in the metric system.

<p>weight</p> Signup and view all the answers

The basic unit of length in the metric system is the?

<p>meter</p> Signup and view all the answers

The basic unit of volume in the metric system is the?

<p>liter</p> Signup and view all the answers

Which of the following is the correct metric notation for five and three-fourths of a liter?

<p>5.75 L</p> Signup and view all the answers

Which of the following is the correct notation for eighty-four and six tenths milliliters?

<p>84.6 mL</p> Signup and view all the answers

The correct metric notation for five and forty-five thousandths liters is?

<p>5.045 L</p> Signup and view all the answers

What is the correct metric notation for twenty-five and fourteen thousandths kilograms?

<p>25.014 kg</p> Signup and view all the answers

The correct notation for two hundred fifty-five and seven hundredths millimeters is?

<p>255.07 mm</p> Signup and view all the answers

The correct metric notation for eighty-two and twenty-three hundredths micrograms is?

<p>82.23 mcg</p> Signup and view all the answers

There are _____ centimeter(s) in a meter.

<p>100</p> Signup and view all the answers

A kiloliter equals _____ liter(s).

<p>1,000</p> Signup and view all the answers

A _____ is 11,000 of a liter.

<p>milliliter</p> Signup and view all the answers

How many grams are in 1 microgram?

<p>0.000001 grams</p> Signup and view all the answers

Convert 78,450 mg to grams.

<p>78.45 g</p> Signup and view all the answers

Convert 34 cm to millimeters.

<p>340 mm</p> Signup and view all the answers

Convert 45,880 mL to liters.

<p>45.88 L</p> Signup and view all the answers

Convert 8.09 L to milliliters.

<p>8,090 mL</p> Signup and view all the answers

When a meter is divided by 100, the result is?

<p>1 centimeter</p> Signup and view all the answers

A meterstick is approximately _____ inches longer than a yardstick.

<p>3</p> Signup and view all the answers

A volume of 6 teaspoons equals, to the nearest milliliter,?

<p>30 mL</p> Signup and view all the answers

A volume of 843 mL equals, to the nearest hundredth of a quart,?

<p>0.88 qt</p> Signup and view all the answers

Rounded to the nearest tenth of a pound, 56 kg is equal to?

<p>123.2 lb</p> Signup and view all the answers

Using the conversion factor of 30 g/1 oz, rounded to the nearest hundredth of an ounce, 74.5 g is equal to?

<p>2.48 oz</p> Signup and view all the answers

Using the conversion factor 30 mL/fl oz, rounded to the nearest hundredth of a fluid ounce, the volume of 85 mL is equal to?

<p>2.83 fl oz</p> Signup and view all the answers

Rounded to the nearest tenth of a liter, the volume of 7.5 cups is equal to?

<p>1.8 L</p> Signup and view all the answers

A daily dose of 40 mL, to the nearest teaspoon, is equal to?

<p>8 tsp</p> Signup and view all the answers

Using the conversion factor 30 g/1 oz, a dose of 2.5 ounces, when rounded to the nearest gram, is equal to?

<p>75 g</p> Signup and view all the answers

A dose of 0.5 cup, when rounded to the nearest milliliter, is equal to?

<p>120 mL</p> Signup and view all the answers

Using the conversion factor 30 g/1 oz, a dose of 400 mg, when rounded to the nearest thousandth of an ounce, is equal to?

<p>0.013 oz</p> Signup and view all the answers

An infant weighs 7.8 pounds, which is equal to?

<p>124.8 oz</p> Signup and view all the answers

A daily dose of a medicinal syrup is equal to 6 tsp. This quantity is equal to how many fluid ounces?

<p>1 fl oz</p> Signup and view all the answers

1 oz = ___gr

<p>480 gr</p> Signup and view all the answers

1 lb =____g

<p>454 g</p> Signup and view all the answers

1 tsp =__mL

<p>5 mL</p> Signup and view all the answers

1 c=____fl oz

<p>8 fl oz</p> Signup and view all the answers

1 g =___gr

<p>15 gr</p> Signup and view all the answers

1 gr =____mg

<p>60 mg or 65 mg</p> Signup and view all the answers

1 kg =___lb

<p>2.2 lb</p> Signup and view all the answers

1 fl.oz.=_____tbsp

<p>2 tbsp</p> Signup and view all the answers

1 lb =___oz

<p>16 oz</p> Signup and view all the answers

1 t = mL

<p>15 mL</p> Signup and view all the answers

Which of the following is the same in both the apothecary system and the household system?

<p>ounce</p> Signup and view all the answers

Which of the following is a standard abbreviation for teaspoon?

<p>t</p> Signup and view all the answers

The abbreviation for tablespoon is?

<p>tbsp</p> Signup and view all the answers

Which type of units are preferred for most dosage calculations?

<p>metric</p> Signup and view all the answers

The standard abbreviation for a gallon in the household system of measurement is?

<p>gal</p> Signup and view all the answers

The correct apothecary notation for five and one-half grains is?

<p>gr 5 1/2</p> Signup and view all the answers

The abbreviation for drop is?

<p>gtt</p> Signup and view all the answers

The correct abbreviation for minims in the apothecary system is?

<p>minim</p> Signup and view all the answers

The notation gr vii means?

<p>7 grains</p> Signup and view all the answers

Bella weighs 55 lb. How many kilograms does she weigh?

<p>25 kg</p> Signup and view all the answers

32 ounces equals?

<p>2 pounds</p> Signup and view all the answers

3.75 ounces equals _____ grains.

<p>1,800</p> Signup and view all the answers

Six drams equals _____ fluid ounce(s).

<p>0.75</p> Signup and view all the answers

210 minims is how many drams?

<p>3.5 drams</p> Signup and view all the answers

Three and one-half fluid ounces equals _____ drams.

<p>28</p> Signup and view all the answers

The physician ordered 45 mL of a medication. How many tablespoons is this?

<p>3 tbsp</p> Signup and view all the answers

The patient received a pint of medication from the pharmacy. This is equivalent to?

<p>16 fluid ounces</p> Signup and view all the answers

Taylor's mother is supposed to give him 2 tablespoons of a medication. She only has a teaspoon measure available. How many teaspoons should she give him?

<p>6 teaspoons</p> Signup and view all the answers

A stock bottle of liquid medication contains 2 pints of medication. At different times, 6 doses of 2 tbsp were removed from the bottle. How many fluid ounces of medication remain in the bottle?

<p>26 fl oz</p> Signup and view all the answers

Sam has a prescription for a medication that says to take 3 fl oz for each dose. He has a measuring spoon set and will use the tablespoon measure. How many tablespoons of medication will he need to take the prescribed dose?

<p>6 tablespoons</p> Signup and view all the answers

Sodium, potassium, and other electrolytes are often measured based on their equivalent weight using a unit called?

<p>milliequivalents</p> Signup and view all the answers

A patient drank 1 cup of coffee, one-half cup of juice, and three 8-ounce glasses of water. How many liters of fluid did the patient drink?

<p>1.08 L</p> Signup and view all the answers

During the last 8 hours, a hospital patient drank 2 cups of water, 8 ounces of orange juice, and 12 ounces of coffee. He has also received 640 mL of fluid through an IV. Altogether, how many liters of fluid has the patient received during the 8 hours?

<p>1.72 L</p> Signup and view all the answers

An infant weighed 7 lb, 6 oz at birth. During the first week, she gained 4 oz; during the second week, she gained 6 oz; during the third week, she gained 7 oz; and during the fourth week, she gained 7 oz. How much did she weigh at the end of the 4 weeks?

<p>8 lb, 14 oz</p> Signup and view all the answers

At a wellness checkup in June, a 2-year-old child weighed 22 lb, 4 oz. By September, the child had gained 1 lb, 12 oz, and by December the child had gained another 1 lb, 8 oz. How much did the child weigh at the December checkup?

<p>25 lb, 8 oz</p> Signup and view all the answers

The conversion factor for milligrams (mg) to micrograms (mcg) is _______.

<p>1,000 mcg/1 mg</p> Signup and view all the answers

The conversion factor to convert from milligrams to grams is _______.

<p>1 g/1,000 mg</p> Signup and view all the answers

The conversion factor for ounces to grams is _______.

<p>30 g/1 oz</p> Signup and view all the answers

The conversion factor to convert from milliliters (mL) to teaspoons (tsp) is _______.

<p>1 tsp/5 mL</p> Signup and view all the answers

The conversion factor for grams to pounds is _______.

<p>1 lb/454 g</p> Signup and view all the answers

The conversion factor for fluid ounces to liters is _______.

<p>3 L/100 fl oz</p> Signup and view all the answers

Using proportions, convert 17 kg to pounds.

<p>37.4 lb</p> Signup and view all the answers

Using proportions, convert 22.5 pints to milliliters.

<p>10,800 mL</p> Signup and view all the answers

Using dimensional analysis, convert 2 L to cups.

<p>8.33 cups</p> Signup and view all the answers

The weight of the medication in a particular dose is equivalent to 0.05 oz. What is this quantity in grams?

<p>1.5 grams</p> Signup and view all the answers

An amount of a certain cough syrup is equal to 10 mL. If the patient will use a tablespoon to take this amount, how many tablespoons need to be administered?

<p>0.67 tbsp</p> Signup and view all the answers

An IV infusion delivers 0.0025 oz of medication every hour. Using dimensional analysis, what is the equivalent of this flow rate in milligrams per hour?

<p>75 mg/hr</p> Signup and view all the answers

A _____ is made of two quantities that are equal to each other but expressed in different units.

<p>conversion factor</p> Signup and view all the answers

A(n) _________________ is a fraction or ratio made of two quantities that are equal to each other but expressed in different units.

<p>conversion factor</p> Signup and view all the answers

When writing a conversion factor, the quantity of units you wish to convert to is placed in the?

<p>numerator</p> Signup and view all the answers

The conversion factor for converting tablespoons to milliliters is?

<p>15 mL/1 tbsp</p> Signup and view all the answers

Which of the following is the correct conversion factor for converting milliliters to fluid ounces?

<p>1 fl oz/30 mL</p> Signup and view all the answers

Which is the correct conversion factor for grams to ounces?

<p>1 oz/30 g</p> Signup and view all the answers

A conversion factor used for converting cups to milliliters is?

<p>240 mL/1 c</p> Signup and view all the answers

The conversion factor for converting kilograms to pounds is?

<p>2.2 lb/1 kg</p> Signup and view all the answers

Which of the following is a correct conversion factor for converting milliliters to tablespoons?

<p>1 tbsp/15 mL</p> Signup and view all the answers

Which is the correct equation using ratios for converting 45 oz to milliliters?

<p>x mL : 45 oz = 30 mL : 1 oz</p> Signup and view all the answers

To avoid making calculation errors, it is important to _________ units when using conversion factors.

<p>cancel</p> Signup and view all the answers

Which equation is correct for converting 450 lb to kg?

<p>x/450 lb = 1 kg/2.2 lb</p> Signup and view all the answers

Which is the correct equation for converting 6 fl oz to cups?

<p>x c = 1 c/8 fl oz X 6 fl oz/1</p> Signup and view all the answers

Which of the following is a correct conversion factor for converting fluid ounces to milliliters?

<p>30 mL/1 oz</p> Signup and view all the answers

Which of the following is the correct equation for converting 4 tbsp to milliliters?

<p>x mL/4 tbsp = 15 mL/1 tbsp</p> Signup and view all the answers

Study Notes

Metric Conversions

  • 2.566 km equals 256,600 cm.
  • 1,433 mm equals 1.433 m.
  • 11.455 m equals 1,145.5 cm.
  • 72,594 mg equals 0.072594 kg.
  • 0.027565 g equals 27,565 mcg.
  • 18,455.7 g equals 18.4557 kg.

Basic Units of Metric System

  • The most widely used measurement system worldwide is the metric system.
  • The basic unit of weight in the metric system is the gram.
  • The basic units of length, volume, and weight are meter, liter, and gram respectively.

Metric Notation

  • Five and three-fourths of a liter is noted as 5.75 L.
  • Eighty-four and six-tenths milliliters is noted as 84.6 mL.
  • Five and forty-five thousandths liters is noted as 5.045 L.
  • Twenty-five and fourteen thousandths kilograms is noted as 25.014 kg.
  • Two hundred fifty-five and seven hundredths millimeters is noted as 255.07 mm.
  • Eighty-two and twenty-three hundredths micrograms is noted as 82.23 mcg.

Conversions & Equivalents

  • There are 100 centimeters in a meter.
  • A kiloliter equals 1,000 liters.
  • A milliliter is 1/1,000 of a liter.
  • 1 microgram is equal to 0.000001 grams.
  • 78,450 mg converts to 78.45 g.
  • 34 cm converts to 340 mm.
  • 45,880 mL converts to 45.88 L.
  • 8.09 L equals 8,090 mL.

Cooking and Measurement Conversions

  • A daily dose of 40 mL equals about 8 teaspoons.
  • One cup equals 8 fluid ounces.
  • 1 teaspoon equals 5 mL.
  • 1 fluid ounce equals 2 tablespoons.
  • The conversion factor for milligrams to micrograms is 1,000 mcg/1 mg.
  • The conversion factor for ounces to grams is 30 g/1 oz.

Weight and Mass Conversions

  • 1 lb equals 454 g.
  • 1 g equals 15 grains.
  • 1 grain equals 60 mg (or 65 mg).
  • For fluid ounces to liters: 3 L equals 100 fl oz.
  • The conversion factor for pounds to kilograms is 2.2 lb/1 kg.

Dosage and Administration

  • The notation for dosage often involves converting between different units like mg, g, and oz.
  • One IV infusion delivering 0.0025 oz every hour corresponds to 75 mg/hr.
  • To convert 45 mL of medication to tablespoons: it is equivalent to 3 tbsp.
  • An infant's weight can change rapidly, and conversions are necessary for accurate dosing.

Dimensional Analysis

  • Dimensional analysis is a method used for converting units such as 2 L to cups, yielding 8.33 cups as a calculation.
  • Measurement units must be properly canceled during calculations to avoid errors.

Common Abbreviations

  • Standard abbreviations include tsp for teaspoon, tbsp for tablespoon, g for grams, and mL for milliliters.
  • Ounce in both the apothecary and household systems is represented by the same notation.

Important Formulas

  • Using proportions for conversion, like converting 17 kg to pounds: equals 37.4 lb.
  • Equation for converting 450 lb to kg can be set up as x/450 lb = 1 kg/2.2 lb.

Body Weight Changes

  • Tracking weight conversions over time is essential for monitoring growth and health.
  • A patient's daily intake and fluid consumption can be calculated to ensure proper hydration.

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Test your knowledge on math and dosage calculations specifically designed for healthcare professionals. This quiz covers essential conversions and calculations from chapter 4, helping you to master the necessary skills for accurate dosing and measurement.

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