Question

Which statements are true? Select all that apply.
Centigrams are larger than decigrams.
Hectometers are smaller than kilometers.
Dekaliters are larger than kiloliters.
Grams are smaller than dekagrams.
A 2-column table with 7 rows. Column 1 has entries kilo, hecto, deka, unit, deci, centi, milli. Column 2 has entries 1,000, 100, 10, 1, 0.1, 0.01, 0.001.

Answer 1

Let's evaluate each statement based on the metric conversion system, where the prefixes represent specific factors of the base unit.

1. **Centigrams are larger than decigrams.**
- **False**: Centigrams are 0.01 grams, while decigrams are 0.1 grams. Therefore, decigrams are larger than centigrams.

2. **Hectometers are smaller than kilometers.**
- **True**: Hectometers (100 meters) are smaller than kilometers (1,000 meters).

3. **Dekaliters are larger than kiloliters.**
- **False**: Dekaliters (10 liters) are smaller than kiloliters (1,000 liters).

4. **Grams are smaller than dekagrams.**
- **True**: A dekagram is 10 grams, so grams are indeed smaller than dekagrams.

Now, summarizing the true statements:

- Hectometers are smaller than kilometers.
- Grams are smaller than dekagrams.

So, the true statements are:
- Hectometers are smaller than kilometers.
- Grams are smaller than dekagrams.