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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 :

A. There are 0.35 hectoliters in 35 deciliters

C. There are 6.8 kiloliters in 68 hectoliters.

Given the table of metrics

We start by analyzing each statement using the metric conversion table

Statement A:

Conversion from deciliters (deci-) to hectoliters (hecto-) involves moving two steps up the metric table (deci -> unit -> hecto).

1 deciliter = 0.01 hectoliters.

35 deciliters = 35 × 0.01 = 0.35 hectoliters.

This statement is true

Statement B:

Conversion from liters (unit) to centiliters (centi-) involves moving two steps down the metric table (unit -> deci -> centi).

1 liter = 100 centiliters.

762 liters = 762 × 100 = 76,200 centiliters.

This statement is false

Statement C:

Conversion from hectoliters (hecto-) to kiloliters (kilo-) involves moving one step up the metric table (hecto -> kilo).

1 hectoliter = 0.1 kiloliters.

68 hectoliters = 68 × 0.1 = 6.8 kiloliters.

This statement is true

Statement D

Conversion from liters (unit) to deciliters (deci-) involves moving one step down the metric table (unit -> deci).

1 liter = 10 deciliters.

7.5 liters = 7.5 × 10 = 75 deciliters.

This statement is false

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

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.

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