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The table in your image provides the conversion between centigrams (cg) and milligrams (mg). Let's break it down:

- 1,000 centigrams = 10,000 milligrams
- 100 centigrams = 1,000 milligrams
- 10 centigrams = 100 milligrams
- 1 centigram = 10 milligrams

The question asks how many centigrams would be equal to **0.3 milligrams**. Using the ratio:

1 centigram = 10 milligrams

To find the equivalent in centigrams, we set up a proportion:

\[
\frac{1 \, \text{centigram}}{10 \, \text{milligrams}} = \frac{x \, \text{centigrams}}{0.3 \, \text{milligrams}}
\]

Now, solve for \( x \):

\[
x = \frac{1 \, \text{centigram} \times 0.3 \, \text{milligrams}}{10 \, \text{milligrams}} = 0.03 \, \text{centigrams}
\]

So, **0.03 centigrams** would be equal to 0.3 milligrams.

The correct answer is **0.03**.

Would you like more details on this, or have any questions? Here are some follow-up questions:

1. How do you set up a proportion to solve a unit conversion problem?
2. What is the general approach to converting between metric units like centigrams and milligrams?
3. How would the solution change if the question asked for a different value in milligrams?
4. Can you explain why centigrams are larger than milligrams?
5. How would you verify the accuracy of your conversion in other contexts?

**Tip:** Always double-check your conversion factor between units before setting up the proportion.

How many centigrams would be equal to 0.3 milligrams?

Learn how to convert between centigrams and milligrams using a ratio table. This problem involves proportional reasoning and unit conversions, showing how 0.03 centigrams is equal to 0.3 milligrams. Suitable for Grade 7 math students.

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