Calculation of Solid Oral Doses and Dosages

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Chapter 7

Calculation of Solid Oral Doses and Dosages

Pretest

Calculate the following problems, determining how many capsules or tablets must be given per dose, and provide the answers in the system given for the dosage available and the dosage form. When labels for medication appear, the label is to indicate the dosage available. Show all of your calculations.

image 1 Dose ordered: phenobarbital 30 mg

image 2 Dose ordered: Tagamet 800 mg

image 3 Dose ordered: digitoxin 0.25 mg

image 4 Dose ordered: Clinoril 400 mg

image 5 Dose ordered: Theophylline 0.4 g

image 6 Dose ordered: K-Clor 0.6 gm

image 7 Dose ordered: aspirin gr x

image 8 Dose ordered: Pepcid 40 mg

image 9 Dose ordered: amoxicillin 1000 mg

image 10 Dose ordered: Haldol 2 mg

image 11 Dose ordered: Synthroid 350 mcg daily _____________________________________________

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image 12 Dose ordered: ferrous sulfate 325 mg ____________________

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image 13 Dose ordered: Glyset 50 mg ____________________

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image 14 Dose ordered: Cogentin 1.5 mg ____________________

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image 15 Dose ordered: Zyvox 0.6 g ____________________

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image 16 Dose ordered: Sinequan 20 mg ____________________

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image 17 Dose ordered: Synthroid 50 mcg ____________________

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image 18 Dose ordered: Aldomet 0.25 g ____________________

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image 19 Dose ordered: Cardizem 60 mg ____________________

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image 20 Dose ordered: cimetidine 400 mg ____________________

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Introduction

Using the oral route for medication administration is the safest and most frequently used means of administering medicines. Oral medications come in solid forms (such as tablets and capsules) and liquid forms. Variations of these solid forms, such as powders and granules, are dissolved in liquids for administration (see Chapters 8 and 9). Other advantages of administering medications orally include convenience for the patient, absence of damage to skin, and reduced cost of manufacturing the medication because the drug does not require the use of sterile technique, allowing the drug to be more economical.

Oral medications are absorbed in the gastrointestinal tract, primarily in the small intestine. Because of the differences in absorption rates due to age, gastric motility, gastric contents, and illnesses, the amount of medication that each patient receives may not be the same amount as the usually prescribed dose, therefore, a prescription or medical order is written to accommodate individual differences. These differences must be considered by the physician and are further checked and verified by the pharmacy professional as a means of checks and balances. Therefore, drug manufacturers often provide drugs in different strengths to meet the needs of each patient and to allow dispensing of the therapeutic dose necessary for each person. When the dose ordered is available in the needed dosage strength and form, fewer errors will occur with administration of the medication. The pharmacy technician must be aware of the various strengths of medications and take care in choosing the correct drug strength when preparing medications for dispensing.

Some medications may be irritating to the intestinal tract and may require eating a meal or snack to aid in absorption or to prevent irritation in the stomach. Others must have special instructions for taking the medicine, such as iron elixir, which can stain teeth and should be administered through a straw, or Fosamax, which requires the person receiving the drug remain in an upright position for at least 30 minutes after administration. Some tablets may be divided or crushed for ease in swallowing; the ability to divide the tablets is usually indicated by the tablet being scored. Remember, capsules should not be crushed or divided, although some may be opened and sprinkled on food for ease of administration after obtaining special permission from the physician.

Because solid oral medications are dispensed according to specific instructions for safety and for providing the correct doses, the pharmacy technician must be aware that calculation of exact dosages is an important factor in administering medications. Many drug dosages will be in the exact amounts that are found on medication labels, whereas others must be calculated to be sure the correct amount of medication is provided for administration. This chapter is designed to ensure that you can calculate doses and dosages from prescriptions and medication orders, using physician’s orders and drug labels.

Calculating Solid Oral Medication Doses

To provide the necessary medication for the administration of a solid oral dose, the label must be read carefully and the correct medication must be used in dispensing the drug. After choosing the appropriate medication, the pharmacy technician must be sure to calculate the amount of medicine to be given to the patient both in the individual dose and the entire amount of medication, or dosage. Care is necessary to supply the treatment prescribed for patient safety. The calculation of a dose depends on the amount of medicine that has been ordered at a given time, whereas dosage indicates the total amount of medicine that is necessary for the complete order or prescription. This chapter covers calculating both doses and dosages. Just as a reminder, the label on the medication provided and the prescribed medication must be either in the same measurement system or a form that can be converted to provide the prescribed medicine dose and dosage. Another important rule of thumb is that when converting among measurement systems, be sure the final conversion is in the same measurement system as that found on the label of the medication. In other words, if you are converting between milligrams and grams and the label on the medication is in grams per tablet, the final answer should be in grams per tablet or the number of tablets. Finally, be sure that the medication names are exactly the same, because many medications have sound-alike or look-alike names that are similar. If there is ever a doubt about the medicine to be used or if the calculation does not seem to be what you expected it to be, obtain clarification from the pharmacist before preparing the medicine, a practice that is always safe, important, and acceptable. The pharmacist—the person ultimately responsible for dispensing the medication—would prefer to answer questions before medication preparation rather than make a medication error by dispensing incorrect doses or medications.

More rules that should be considered when calculating medication dosage follow:

Drug calculations may be obtained by using one of three methods. The method that you feel the most comfortable using is the correct method for you to use. One method is using ratio and proportion (discussed in Chapter 2). Dimensional analysis is an extended form of ratio and proportion and may also be used for calculating a dose of medication. Finally, the following formula may be used for calculations:

< ?xml:namespace prefix = "mml" />DD(Dose desired)DH(Dose on hand)×Qty(Quantity or form)=Dose to be given(DG)

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In the next section, each problem will be calculated using each of the three methods. Again, find the method with which you feel the most comfortable and use it for all your calculations. Always using the same methodology for calculations will assist in avoiding possible confusion during calculations.

Calculating Medications Using Ratio and Proportion

When using the proportional method of calculating doses, the dosage strength available (DA) and the dosage form (DF) must be one ratio, and the dose ordered (DO) and the dose to be given (DG) must be the second ratio in the proportion. Remember that in using a mathematical equation for ratio and proportion, the ratio shows the relationship between two numbers, and proportion shows the relationship between two ratios. When setting up a problem for calculation by ratio and proportion, the formula then appears as follows:

DA(Dosage available):DF(Dosage form)::DO(Dose ordered):DG(Dose to be given)

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Remember that these relationships may also be written as fractional units if this is easier for your calculations. A fractional formula is as follows:

DADF=DODG

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Also remember that when part of the ratio is missing, the unknown number is represented by “x”. If a calculation is necessary and one of the components of the proportion is missing, the missing part or x can be found by filling in the known parts of the proportion and then completing the problem as with any proportional problem. To use proportion, the dosage available (DA) and the dose ordered (DO) must be in the same measurement system. If the systems differ, conversion must be done to bring these components into the same system. (See Chapter 4 for help in remembering the measurement systems and Chapter 5 for help in converting among systems.) Later in this chapter you will calculate problems requiring conversion. Now you can begin performing calculations with medications in the same system.

Let’s try another medication order as an example, but this time we will use measurements in the apothecary system.

Calculating Medications Using Dimensional Analysis

Dimensional analysis is actually just an elongated form of ratio and proportion using multiple fractional units. To use dimensional analysis, ratios must allow for the cancellation of measurements from one ratio into the next. (See Chapter 5 for a review of dimensional analysis basics.)

If the previous problems were calculated in dimensional analysis, the first problem would read as follows:

Calculating Medications Using the Formula Method

Many professionals use the formula method to calculate doses. Using the formula, replace each component of the formula with the correct information and then calculate the problem. This is the same means of replacement as is used with ratio and proportion, but the formula is used for placing the given amounts. The formula follows:

DD(Dose desired)DH(Dose on hand[DA])×Qty(Quantity[DF])=Dose to be given(DG)

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Quantity in solid medications will appear as capsules or tablets, whereas in liquid form the quantity may be found in the number of mg, g, or other weight measurement in the volume of medication, or may be given mL, drops, or other liquid volume measurements.

Please notice that both of these problems are done within the same measurement system. After the practice problems, you will begin working between measurement systems for calculating doses and dosages.

Practice Problems A

Calculate the practice problems below. Show all your calculations. Remember to use the method of conversion that is most comfortable for you. Indicate how the medication order would be shown on a prescription label.

1. imageOrder: Synthroid 175 mcg po daily in am

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2. imageOrder: ferrous sulfate gr image po qam

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3. imageOrder: ciprofloxacin 1.5 gm po qam

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4. imageOrder: digoxin cap 0.1 mg po qam image P ↑ 60 until changed by MD

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5. imageOrder: Lopid 1.2 gm qam image am meal

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6. imageOrder: Dilantin 0.5 gm bid image breakfast and evening meal

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7. imageOrder: metformin HCl 1 gm po bid image meals. Ck BS before taking medication

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8. imageOrder: Biaxin 500 mg po bid image food

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9. imageOrder: pravastatin 20 mg po daily hs*

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10. imageOrder: Ativan 0.5 mg po q6-8h or hs prn anxiety*

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11. imageOrder: Retrovir 200 mg po qhs*

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12. imageOrder: ASA gr x × po q4-6h prn aching; do not exceed 8 tab q24h

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13. imageOrder: cephalexin 0.75 gm po bid image breakfast and hs

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14. imageOrder: Decadron 0.75 mg daily @ same time

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15. image imageOrder: promethazine 0.0375 gm q4-6h prn N&V

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16. imageOrder: Lotrel 5/20 daily in am

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17. imageOrder: isoniazid 250 mg tid image meals

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18. imageOrder: Evista 0.12 gm po daily

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19. imageOrder: Voltaren 0.05 gm bid image meals

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20. imageOrder: carbamazepine 0.2 gm qid with meals and hs*

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*These abbreviations are found on the TJC Do Not Use List and ISMP’s List of Error-Prone Abbreviations, Symbols, and Dose Designations due to medication safety issues. They should not be used. You are being tested on them here because these abbreviations may still appear in the pharmacy setting.

*These abbreviations are found on the TJC Do Not Use List and ISMP’s List of Error-Prone Abbreviations, Symbols, and Dose Designations due to medication safety issues. They should not be used. You are being tested on them here because these abbreviations may still appear in the pharmacy setting.

*These abbreviations are found on the TJC Do Not Use List and ISMP’s List of Error-Prone Abbreviations, Symbols, and Dose Designations due to medication safety issues. They should not be used. You are being tested on them here because these abbreviations may still appear in the pharmacy setting.

Calculating Solid Medications Among Different Measurement Systems

Remember from Chapter 5 that conversions among measurement systems are approximates, and amounts are often not exact but as close as possible with the medications ordered and medications available. To figure the dose to be given, you must first convert so that the medication ordered (DO) and the medication on hand (DA) are in the same measurement system. (Solid medications taken orally do not require the use of conversions to the household system, so this is covered in Chapter 8.)

Following the conversion, the amount necessary is 150 mg of ASA, so now the formula, ratio and proportion, or dimensional analysis calculation may be used to figure the number of tablets necessary for the dose ordered.

Formula Method

150mg(DD)81mg(DA)×1tabs(DF)=Dose to be given(DG)

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(150÷81)×1=Dose to be given(DG)

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Dose to be given=1.85round to1.9or2tablets(see Tech Note above.)

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In some cases you must convert within a system such as micrograms to milligrams or milligrams to grams or vice versa. If so, make the conversion within the system before converting between systems.

Practice Problems B

Calculate the following problems, using the method that is most comfortable for you. Show all calculations. Indicate how the medication order would appear on the prescription label.

1. imageA physician orders ferrous sulfate gr v po bid. The available medication is labeled ferrous sulfate 325 mg tabs.

2. imageA physician orders phenobarbital grimagetab po hs.* The medication available is labeled phenobarbital 60 mg tabs.

3. imageA physician orders codeine sulfate 60 mg q4-6h prn pain. The medication available is labeled codeine sulfate gr image tab.

4. imageA physician orders Nitrostat gr 1/150 SL q5min up to 3 doses prn angina. The medication available is labeled Nitrostat 0.4 mg tab.

5. imageThe physician orders aspirin gr x po q4-6h prn high fever or aching for a patient with influenza. The medication available is labeled aspirin-DS 650 mg tab.

6. imageA physician orders ferrous sulfate 650 mg bid image breakfast and evening meal. The medication available is labeled ferrous sulfate gr v tab.

7. imageA physician orders codeine sulfate grimagepo q4h prn pain or cough. The medication available is labeled codeine sulfate 15 mg tab.

8. imageA physician orders phenobarbital 30 mg po tid and hs* for epilepsy. The medication available is labeled gr image tab.

9. imageA physician orders Nitrostat 0.6 mg SL q5min × 3 doses prn angina; call 911 if no relief. The medication available is labeled Nitrostat gr 1/100 tab.

10. imageA physician orders codeine sulfate 90 mg po q4-6h prn pain in left hip. The medication available is codeine sulfate gr 3/4 tab.


*These abbreviations are found on the TJC Do Not Use List and ISMP’s List of Error-Prone Abbreviations, Symbols, and Dose Designations due to medication safety issues. They should not be used. You are being tested on them here because these abbreviations may still appear in the pharmacy setting.

*These abbreviations are found on the TJC Do Not Use List and ISMP’s List of Error-Prone Abbreviations, Symbols, and Dose Designations due to medication safety issues. They should not be used. You are being tested on them here because these abbreviations may still appear in the pharmacy setting.

Calculate Total Dosages Of Medication From Physician’s Orders

Physicians may state an order for a medication to be given so many times a day over a desired length of time. To be able to complete this order in an inpatient setting, the order will be dispensed on a daily basis for the desired time. If this same prescription is provided in a retail environment, the pharmacy technician will be required to calculate the number of doses that will be necessary for dispensing the complete prescription to the patient. This will require the pharmacy technician to find the number of doses in a specific day and then multiply this by the days that the medication is necessary.

Practice Problems C

Interpret the orders and calculate the number of tablets or capsules necessary for each order. Show all calculations. Indicate how the prescription label would read.

1. imageDr. Jones orders naproxen 500 mg bid × 30 d. The available dose is Naprosyn 500 mg tablets.

2. imageDr. Ho orders KCl 20 mEq to be given daily with furosemide for 30 days. The available medication is KCl 10 mEq tablets.

3. imageDr. Assad orders Flagyl 250 mg po bid × 7 days. Available are Flagyl 500 mg tabs.

4. imageDr. Mills orders Decadron 0.75 mg on a declining scale of 0.75 mg tid × 3 d, 0.75 mg bid × 3 d, 0.75 mg daily × 3 d. Available medication is Decadron 0.75 mg tablets.

5. imageA physician orders Coumadin 5 mg on even days and Coumadin image mg on odd days. The dose available is Coumadin 5 mg tablets.

6. image imageMrs. Jones is having difficulty sleeping. In the past she has taken Valium 5 mg for anxiety. Dr. Santo wants her to take 5 mg daily qam for anxiety and image mg hs* for sleep. The medication available is Valium 5 mg scored tablets.

7. imageMr. Casto has lower back pain. Dr. Gero prescribes Skelaxin 400 mg tid × 10 days. Available dosage is Skelaxin 800 mg scored tablets.

8. imageDr. Burke wants Johnny to take prednisone 5 mg in descending doses beginning with 7 tabs on the first day, 6 tabs on the second day, and decreasing one tablet daily until only one tablet is taken for 2 days.

9. image Dr. Shu, a urologist, orders Septra DS for Mr. King for a urinary tract infection. Dr. Shu wants Mr. King to take Septra DS bid × 7 days and then daily × 21 days.

10. image Dr. Green orders metformin for Mrs. Forrester to be taken 1000 mg qam and 500 mg hs.* Metformin is available in 500 mg tablets or 750 mg tablets.


*These abbreviations are found on the TJC Do Not Use List and ISMP’s List of Error-Prone Abbreviations, Symbols, and Dose Designations due to medication safety issues. They should not be used. You are being tested on them here because these abbreviations may still appear in the pharmacy setting.

*These abbreviations are found on the TJC Do Not Use List and ISMP’s List of Error-Prone Abbreviations, Symbols, and Dose Designations due to medication safety issues. They should not be used. You are being tested on them here because these abbreviations may still appear in the pharmacy setting.

Patient Safety When Calculating Doses And Dosages

As a pharmacy technician, you must always be aware that patient safety and accurate calculations are a necessity when preparing medications for dispensing. Medication orders or prescriptions are the physician’s determination of the medication and the amount that should be safe for the patient. The triangulation among the physician, pharmacist, and pharmacy technician or other health care team member is necessary to ensure this safety. In the center of the triangle is the patient, who is dependent on health care professionals to provide medications that are as risk-free as possible.

To be certain that the medication is correct and in the correct dosage, you should follow certain safety rules.

• Always check calculations after the dose has been figured. To do this, the procedure necessary for accurate calculations should be learned to confidence level so that you do not have to depend on any of your co-workers to do the calculation for you; ultimately, you are responsible for the medication you prepared for dispensing.

• If you have any question about the dosage or your calculations, check with the pharmacist. Remember that he or she is responsible for the medication that is dispensed.

• As you work from either a medication order or a prescription, verify that what you have on hand is the medication ordered and that it is in a dosage form that can be used.

• Check labels three times before providing the prescription for dispensing—before taking the medication from the shelf, before preparing the medication, and before returning the medication to the stock area or passing to the pharmacist after preparation.

• Compare the labels on the medication with the order from the physician. Be sure these are the same, being careful of sound-alike and spell-alike medications. Do not allow yourself to be distracted when examining the labels; keep your full attention on the task at hand.

• If you are working with unit dose medications, be sure that you are preparing the medication for dispensing in the unit dose, not the multidose amount.

• Know your medications and the approximate dose that is usually given to a patient of the age, gender, and size of the person for whom the prescription or medication order is made. If in doubt of the usual dose, read the drug insert or other reference materials related to the medications before preparing the medicine so that you are aware of the usual dose for the specific medication.

• Finally, remember that the pharmacist would rather have you ask a question than have the incorrect medication dispensed for the patient.

Review

When calculating solid oral medication doses, the amount of medication should be calculated to that of the physician’s order. Remember that the DA and the DO must be in the same system before calculating doses. When the medication label contains an amount of medication within one measurement system and the order does not agree with the measurement within the system for the available amount, you calculate the amount of medication necessary for the order by making conversions within the system. However, if the medication order and the available medications are in different measurement systems, you must use conversions as found in Chapter 5 to be sure the medications are converted to the same system. (See Chapter 4 for the measurement in the metric, household, and apothecary systems.) If a conversion must be made, it should be made to the measurement system found on the medication label.

Medication doses can be calculated using ratio and proportion (using the equation below):

DA(Dosage available):DF(Dosage form)::DO(Dose ordered):DG(Dose to be given)

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OR

Medication doses can also be calculated using dimensional analysis in which the available medication should begin the ratios found in the proportional equation with the necessary conversions following your initial entry.

OR

The formula method, using the formula shown below may be used:

DD(Dose desired)DH(Dose on hand)×Qty(Quantity or form)=Dose to be given

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As a pharmacy technician, you should find the method that is most comfortable for you and use it for all calculations.

A physician may give an order that requires the calculation of the total amount of medication necessary for dispensing a medication. To make this calculation, find the number of doses necessary in a day and then multiply this total amount by the total number of days that the prescription is to be taken.

Posttest

Before taking the Posttest, retake the Pretest to check your understanding of the materials presented in this chapter.

For the following problems, pick the correct label from the set below and put the label letter in the space indicated. Then, using the label, interpret the order and calculate the ordered medications. On the fourth line, indicate how the order would look on the prescription label. Figure the dose to be given in the dose form (i.e., tabs or caps) and indicate the form in the answer. Months are 30 days unless otherwise stated. Show all calculations.

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image 1 Order: Tagamet 0.8 g bid

image 2 Order: HydroDIURIL 100 mg qam pc am meal

image 3 Order: Tylenol gr x q4-6h prn fever

image 4 Order: ciprofloxacin HCl 0.5 g tid image meals

image 5 Order: cefaclor 0.75 g daily in 3 divided doses

image 6 Order: diltiazem-SR 120 mg po stat then 60 mg po daily

image 7 Order: rifampin 300 mg po daily in 2 divided doses

image 8 Order: Lopressor 100 mg po bid today and then 50 mg po bid × 15 days then 50 mg po qam for the remainder of December. (Today is December 1.)

Using the following labels, interpret the order and calculate the ordered medications. Figure the dose to be given in the dose form (i.e., tabs or caps) and indicate the form in the answer. Months are 30 days unless otherwise stated. Show your calculations.

image 9 Order: tetracycline 500 mg qid × 5 d; then 500 mg bid × 5 d; then 500 mg daily × 5 d for acne

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image 10 Order: codeine phosphate grimagepo stat and q4-6h prn pain

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image 11 Order: nitroglycerin gr 1/150 subl q5min × 3 doses as a maximum dose for chest pain or until ↓ pain

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image 12 Order: Urecholine 20 mg po bid image meals × 10 d

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image 13 Order: Benadryl 50 mg po tid prn itching

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image 14 Order: Cipro 0.75 g po bid × 10 days

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image 15 Order: ampicillin 1 gm po stat, then 500 mg po qid × 12 d

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image 16 Order: temazepam 0.015 g po hs* prn sleep

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image 17 Order: Strattera 0.05 g po daily image breakfast

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image 18 Order: Surfak i or ii cap po qhs* prn

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image 19 Order: Synthroid 0.1 mg qam

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image 20 Order: Aldomet 0.25 g po qam and 0.125 g po @ 5 pm

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*These abbreviations are found on the TJC Do Not Use List and ISMP’s List of Error-Prone Abbreviations, Symbols, and Dose Designations due to medication safety issues. They should not be used. You are being tested on them here because these abbreviations may still appear in the pharmacy setting.

*These abbreviations are found on the TJC Do Not Use List and ISMP’s List of Error-Prone Abbreviations, Symbols, and Dose Designations due to medication safety issues. They should not be used. You are being tested on them here because these abbreviations may still appear in the pharmacy setting.

Review of Rules

Calculating Solid Oral Medications

• Calculations for oral solid medications may be accomplished by using ratio and proportion, dimensional analysis, or formula methods.

• Before beginning calculations, unless using dimensional analysis, the medications must be in the same unit of measure within the same measurement system. If the measurement systems are different, convert to the measurement system that is on the available medication label.

• Solid medications usually have a quantity of a single solid form such as per tablet or package of powder. Remember that scored tablets may be broken at scores or on indented marks.

• To solve using the ratio and proportion method, set the known measurements on one side of the equation with the unknowns on the other side of the equation. Remember to label the units in each ratio so that the units are in the same position in each ratio and the proportion is therefore equal.

• Dimensional analysis is an extended means of ratio and proportion placed in fractional units. See the rules at the end of Chapter 5 for a review of this means of solving dosage.

• The formula method requires the use of the following formula:

DD(Dose desired)DH(Dose on hand)×Qty(Quantity or DF)=Dose to be given(DG)

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• To use this formula, place the correct information from the physician’s order or prescription, the available medication, and the quantity in the correct position. Then calculate the problem.