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

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.