Medication with strength 1 g/2 mL has been ordered at 10 mg/kg. The patient weighs 166lb. How much should be administered? If less than 1 round to the nearest hundredth otherwise round to the nearest tenth

To determine the correct dose to administer, follow these steps:

1. **Convert the patient's weight from pounds (lb) to kilograms (kg):**
   \[
   1 \, \text{kg} = 2.2 \, \text{lb}
   \]
   So,
   \[
   \text{Weight in kg} = \frac{166 \, \text{lb}}{2.2} = 75.45 \, \text{kg}
   \]

2. **Calculate the required dose based on the weight (10 mg per kg):**
   \[
   \text{Dose} = 10 \, \text{mg/kg} \times 75.45 \, \text{kg} = 754.5 \, \text{mg}
   \]

3. **Convert the ordered dose to milliliters using the strength of the medication (1 g/2 mL or 1000 mg/2 mL):**
   \[
   \frac{1000 \, \text{mg}}{2 \, \text{mL}} = 500 \, \text{mg/mL}
   \]
   The volume to administer is:
   \[
   \text{Volume} = \frac{754.5 \, \text{mg}}{500 \, \text{mg/mL}} = 1.509 \, \text{mL}
   \]

4. **Round the volume:**
   Since the volume is less than 1, round to the nearest hundredth:
   \[
   \text{Final Volume} = 1.51 \, \text{mL}
   \]

So, **1.51 mL** should be administered.

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Do you want any details or further clarifications? 

Here are 5 related questions to explore:
1. How do you convert between different units of medication?
2. What is the importance of rounding in medical dosing?
3. How can weight-based dosing vary for different medications?
4. Why is it important to double-check unit conversions in medication administration?
5. What would happen if the dose was incorrectly calculated?

**Tip:** Always double-check the weight conversion when dosing based on weight, as this can impact the entire calculation.

Medication with strength 1 g/2 mL has been ordered at 10 mg/kg. The patient weighs 166lb. How much should be administered? If less than 1 round to the nearest hundredth otherwise round to the nearest tenth.

Learn how to calculate the correct dose of medication for a patient weighing 166 lb, with a strength of 1 g/2 mL. This example includes weight conversion, dosing based on body weight, and unit conversion. Suitable for Grades 9-12 or healthcare students.

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