Problem 64 - Calculate With Confidence

Question

A client received 17.5 milligrams (mg) of medication in tablet form. Each tablet contains 2.5 mg of medication. How many tablets were given to the client? ___________________________

Step-by-Step Solution

Answer

The client received 7 tablets.

Step 1: Understand the Problem

We are given that a client received 17.5 mg of medication. Each tablet contains 2.5 mg. We need to determine how many tablets make up these 17.5 mg.

Step 2: Set Up the Division Problem

Since each tablet contains 2.5 mg and the total amount of medication received is 17.5 mg, we will divide the total medication by the amount per tablet. This can be expressed as:\[ \text{Number of tablets} = \frac{\text{Total medication}}{\text{Medication per tablet}} = \frac{17.5}{2.5} \]

Step 3: Perform the Division

Now, divide 17.5 by 2.5 to find out how many tablets are needed. Complete the division:\[ 17.5 \div 2.5 = 7 \]

Step 4: Validate Your Solution

To ensure correctness: Multiply the number of tablets by the amount per tablet to check if it equals the total medication:\[ 7 \times 2.5 = 17.5 \]The calculation confirms our solution.

Key Concepts

Medication Administration

Administering medication is a critical task in healthcare that requires precision and accuracy. The goal is to ensure the patient receives the correct amount of medication needed for effective treatment. Various forms of medication, such as tablets, syrups, or injections, have specific instructions for usage, and each requires careful dosage calculations for safe administration.

• In this particular exercise, the role of medication administration comes into focus as we assess the dosage needed for a patient.
• Understanding the amount of active ingredient in each medication unit is vital. This ensures the total prescribed dose is accurately dispensed.
• Healthcare professionals frequently perform calculations to convert a doctor's prescription into the precise number of tablets or other forms needed.

Errors in this process can lead to underdosing or overdosing, both of which could be harmful. Thus, practicing dosage calculation methods is an essential skill for healthcare providers.

Division in Mathematics

Division is a fundamental arithmetic operation crucial to various fields, including healthcare. When calculating medication dosages, division helps determine how many medication units, like tablets, are necessary for a specific dose.
In the given problem, we perform a division to find out how many tablets of 2.5 mg each totals up to 17.5 mg.

• To solve, you set up the division problem by dividing the total dose needed by the dose per tablet: \( \frac{17.5}{2.5} \).
• This division gives a whole number quotient of 7, meaning 7 tablets are needed.
• It's important to ensure that the result is a whole number because you cannot administer partial tablets without specific instructions.

By mastering division, you can efficiently solve dosage problems and confirm your calculations, ensuring they align with medical standards.

Tablets Dosage

Tablets are one of the most common forms of oral medication. Correctly determining the number of tablets required is crucial for effective treatment. Dosage refers to the measured quantity of a therapeutic agent to be taken at one time or at stated intervals.
In this problem, each tablet contains 2.5 mg of medication. Given a total dose of 17.5 mg, the exercise teaches how to calculate the exact number of tablets needed.

• Start by confirming the total dosage needed by evaluating the prescription or doctor's order.
• Next, divide the total dose by the dosage in each tablet to find how many tablets make up the total dose.
• In this case, dividing 17.5 mg by 2.5 mg per tablet indicates that the client received 7 tablets.

These calculations ensure the patient receives their intended treatment, maintaining both efficacy and safety. Tablet dosage calculations must always be double-checked for accuracy to avoid potential medical errors.