Questions: Complete the table below. mL = 9 L 7 Ms = s 900 cm = m dg = 5 g

Complete the table below. mL = 9 L 7 Ms = s 900 cm = m dg = 5 g
Transcript text: Complete the table below. \begin{tabular}{|rr|} \hline$\square \mathrm{mL}=$ & 9 L \\ \hline $7 \mathrm{Ms}=$ & $\square \mathrm{s}$ \\ \hline $900 \mathrm{~cm}=$ & $\square \mathrm{m}$ \\ \hline$\square \mathrm{dg}=$ & 5 g \\ \hline \end{tabular}
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Solution

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Solution Steps

To complete the table, we need to convert between different units of measurement.

  1. Convert liters to milliliters: 1 liter is equal to 1000 milliliters.
  2. Convert megaseconds to seconds: 1 megasecond is equal to 1,000,000 seconds.
  3. Convert centimeters to meters: 1 meter is equal to 100 centimeters.
  4. Convert grams to decigrams: 1 gram is equal to 10 decigrams.
Step 1: Convert Liters to Milliliters

To convert from liters to milliliters, use the conversion factor \(1 \, \text{L} = 1000 \, \text{mL}\). Therefore, for \(9 \, \text{L}\):

\[ 9 \, \text{L} \times 1000 \, \frac{\text{mL}}{\text{L}} = 9000 \, \text{mL} \]

Step 2: Convert Megaseconds to Seconds

To convert from megaseconds to seconds, use the conversion factor \(1 \, \text{Ms} = 1,000,000 \, \text{s}\). Therefore, for \(7 \, \text{Ms}\):

\[ 7 \, \text{Ms} \times 1,000,000 \, \frac{\text{s}}{\text{Ms}} = 7,000,000 \, \text{s} \]

Step 3: Convert Centimeters to Meters

To convert from centimeters to meters, use the conversion factor \(1 \, \text{m} = 100 \, \text{cm}\). Therefore, for \(900 \, \text{cm}\):

\[ 900 \, \text{cm} \times \frac{1 \, \text{m}}{100 \, \text{cm}} = 9.0 \, \text{m} \]

Step 4: Convert Grams to Decigrams

To convert from grams to decigrams, use the conversion factor \(1 \, \text{g} = 10 \, \text{dg}\). Therefore, for \(5 \, \text{g}\):

\[ 5 \, \text{g} \times 10 \, \frac{\text{dg}}{\text{g}} = 50 \, \text{dg} \]

Final Answer

  • \( \boxed{9000 \, \text{mL}} = 9 \, \text{L} \)
  • \( 7 \, \text{Ms} = \boxed{7,000,000 \, \text{s}} \)
  • \( 900 \, \text{cm} = \boxed{9.0 \, \text{m}} \)
  • \( \boxed{50 \, \text{dg}} = 5 \, \text{g} \)
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