Question

Which statement about converting metric units of measurement is true? Use the metric table to help answer the question.

Metric Table
kilo-
hecto-
deka-
unit
deci-
centi-
milli-
1,000
100
10
1
0.1
0.01
0.001
There are 0.35 hectoliters in 35 deciliters.
There are 7.62 centiliters in 762 liters.
There are 6.8 kiloliters in 68 hectoliters.
There are 0.75 deciliters in 7.5 liters.

Answer 1

To determine which statement is true, let's convert the values in each statement based on the metric table provided:

1. **There are 0.35 hectoliters in 35 deciliters.**
- \( 35 \, \text{deciliters} = 3.5 \, \text{hectoliters} \) (since 1 hectoliter = 100 deciliters)
- So this statement is false.

2. **There are 7.62 centiliters in 762 liters.**
- \( 762 \, \text{liters} = 76,200 \, \text{centiliters} \) (since 1 liter = 100 centiliters)
- So this statement is false.

3. **There are 6.8 kiloliters in 68 hectoliters.**
- \( 68 \, \text{hectoliters} = 6.8 \, \text{kiloliters} \) (since 1 kiloliter = 100 hectoliters)
- So this statement is true.

4. **There are 0.75 deciliters in 7.5 liters.**
- \( 7.5 \, \text{liters} = 750 \, \text{deciliters} \) (since 1 liter = 10 deciliters)
- So this statement is false.

Thus, the true statement is: **There are 6.8 kiloliters in 68 hectoliters.**