•	Drug M is supplied 800 mg/3 ml. You need to administer 1.6 g of Drug M. How many milliliters will you give using a medicine cup?

To calculate the number of milliliters to administer, follow these steps:

1. **Convert 1.6 g to milligrams (mg)**:
   - \( 1.6 \, \text{g} = 1600 \, \text{mg} \) since \( 1 \, \text{g} = 1000 \, \text{mg} \).

2. **Set up a proportion** based on the drug's supplied concentration (800 mg/3 ml):

\[
\frac{800 \, \text{mg}}{3 \, \text{ml}} = \frac{1600 \, \text{mg}}{x \, \text{ml}}
\]

3. **Solve for \( x \)**:

\[
x = \frac{1600 \, \text{mg} \times 3 \, \text{ml}}{800 \, \text{mg}} = 6 \, \text{ml}
\]

So, you will need to administer **6 milliliters** of Drug M.

Would you like more details on any of the steps? Here are some related questions to deepen your understanding:

1. How do you convert between grams and milligrams?
2. What is the formula for solving proportions?
3. What are other ways to express drug concentration?
4. How would you adjust the dose if you only had a 5 ml syringe?
5. How can you calculate the dose if the concentration changes?

**Tip:** Always double-check conversions between units, especially when administering medications!

Drug M is supplied 800 mg/3 ml. You need to administer 1.6 g of Drug M. How many milliliters will you give using a medicine cup?

Learn how to calculate the correct dose of Drug M by using a simple proportion. This example involves converting grams to milligrams and applying the proportionality theorem to determine how many milliliters you need to administer. Suitable for Grades 6-8 math learners.

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