College

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

[tex]\[

\begin{tabular}{|c|c|c|c|c|c|c|}

\hline

\multicolumn{7}{|c|}{\text{Metric Table}} \\

\hline

\text{kilo-} & \text{hecto-} & \text{deka-} & \text{unit} & \text{deci-} & \text{centi-} & \text{milli-} \\

\hline

1,000 & 100 & 10 & 1 & 0.1 & 0.01 & 0.001 \\

\hline

\end{tabular}

\][/tex]

A. There are 0.35 hectoliters in 35 deciliters.
B. There are 7.62 centiliters in 762 liters.
C. There are 6.8 kiloliters in 68 hectoliters.
D. There are 0.75 deciliters in 7.5 liters.

Answer :

To determine which statement about converting metric units is true, let's analyze them one by one:

1. There are 0.35 hectoliters in 35 deciliters.
- To convert hectoliters to deciliters:
- 1 hectoliter = 100 liters
- 1 liter = 10 deciliters
- Therefore, 1 hectoliter = 100 10 = 1,000 deciliters
- Convert 0.35 hectoliters to deciliters:
- 0.35 hectoliters = 0.35
1,000 deciliters = 350 deciliters
- Thus, this statement is true because 350 deciliters is correct for 0.35 hectoliters.

2. There are 7.62 centiliters in 762 liters.
- To convert liters to centiliters:
- 1 liter = 100 centiliters
- Convert 762 liters to centiliters:
- 762 liters = 762 100 centiliters = 76,200 centiliters
- Thus, this statement is false because 7.62 centiliters does not match 762 liters.

3. There are 6.8 kiloliters in 68 hectoliters.
- To convert hectoliters to kiloliters:
- 10 hectoliters = 1 kiloliter
- Convert 68 hectoliters to kiloliters:
- 68 hectoliters = 68 / 10 kiloliters = 6.8 kiloliters
- Thus, this statement is true.

4. There are 0.75 deciliters in 7.5 liters.
- To convert liters to deciliters:
- 1 liter = 10 deciliters
- Convert 7.5 liters to deciliters:
- 7.5 liters = 7.5
10 deciliters = 75 deciliters
- Thus, this statement is false because 0.75 deciliters does not match 7.5 liters.

In conclusion, statements 1 and 3 are true, while statements 2 and 4 are false.