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 about converting metric units of measurement is true, we can analyze each statement using the metric table you provided.

1. There are 0.35 hectoliters in 35 deciliters.

   • 1 hectoliter (hL) = 100 liters (L)
   • 1 deciliter (dL) = 0.1 liters (L)
   • 35 deciliters = 35 × 0.1 L = 3.5 L
   • Converting 3.5 liters to hectoliters: 3.5 L = 0.035 hL (since 1 hL = 100 L)
   • This statement is false.

2. There are 7.62 centiliters in 762 liters.

   • 1 centiliter (cL) = 0.01 liters (L)
   • 762 liters = 762 × 100 cL = 76,200 cL
   • This statement is false (actually there are 76,200 cL in 762 liters).

3. There are 6.8 kiloliters in 68 hectoliters.

   • 1 kiloliter (kL) = 1,000 liters (L)
   • 1 hectoliter (hL) = 100 liters (L)
   • 68 hectoliters = 68 × 100 L = 6,800 L
   • Converting to kiloliters: 6,800 L = 6.8 kL (since 1 kL = 1,000 L)
   • This statement is true.

4. There are 0.75 deciliters in 7.5 liters.

   • 7.5 liters = 7.5 × 10 dL = 75 dL (since 1 dL = 0.1 L)
   • This statement is false.

The only true statement is: "There are 6.8 kiloliters in 68 hectoliters."