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How many 10-milliliter doses of liquid medication can be given from a vial containing 5 deciliters?

**Metric Measures of Capacity:**

- 1 milliliter (mL) = 0.001 liter
- 1 centiliter (cL) = 0.01 liter
- 1 deciliter (dL) = 0.1 liter
- 1 liter (L) = 1.0 liter (the basic unit)
- 1 dekaliter (daL) = 10 liters
- 1 hectoliter (hL) = 100 liters
- 1 kiloliter (kL) = 1000 liters

**Note:**
- 1 liter = 1000 milliliters (mL)
- 1 cL = 10 mL
- 1 mL = 1 cm³
- 1 L = 1000 cm³

Answer :

Sure! Let's work through the problem step-by-step to find out how many 10-milliliter doses can be given from a vial containing 5 deciliters.

1. Understand the units:
- We are given the capacity of the vial in deciliters (dL).
- We want the number of doses, where each dose is 10 milliliters (mL).

2. Convert deciliters to milliliters:
- We know that 1 deciliter (dL) is equal to 100 milliliters (mL).
- The vial has a capacity of 5 deciliters.

[tex]\[
\text{Capacity in milliliters} = 5 \, \text{dL} \times 100 \, \text{mL/dL} = 500 \, \text{mL}
\][/tex]

3. Determine the number of doses:
- Each dose is 10 milliliters.
- To find out how many full 10-milliliter doses can be given from the vial, divide the total milliliters by the dose size:

[tex]\[
\text{Number of doses} = \frac{500 \, \text{mL}}{10 \, \text{mL/dose}} = 50 \, \text{doses}
\][/tex]

Thus, you can give 50 doses of 10 milliliters from a vial containing 5 deciliters of liquid medication.

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