Questions: Measurement and Matter Understanding the purpose of SI prefixes Complete the table below. 30 dL= L 6 Mg= g ms= 9 s km= 2000 m

Transcript text: Measurement and Matter Understanding the purpose of SI prefixes Complete the table below. \begin{tabular}{|c|c|} \hline $30 \mathrm{dL}=$ & $\square \mathrm{L}$ \\ \hline $6 \mathrm{Mg}=$ & $\square \mathrm{g}$ \\ \hline $\square \mathrm{ms}=$ & 9 s \\ \hline $\square \mathrm{km}=$ & 2000 m \\ \hline \end{tabular}

Solution

Solution Steps

Step 1: Convert Deciliters to Liters

To convert from deciliters (dL) to liters (L), we use the conversion factor that 1 dL = 0.1 L. Therefore, to convert 30 dL to liters: \[ 30 \, \text{dL} = 30 \times 0.1 \, \text{L} = 3 \, \text{L} \]

Step 2: Convert Megagrams to Grams

To convert from megagrams (Mg) to grams (g), we use the conversion factor that 1 Mg = 1,000,000 g. Therefore, to convert 6 Mg to grams: \[ 6 \, \text{Mg} = 6 \times 1,000,000 \, \text{g} = 6,000,000 \, \text{g} \]

Step 3: Convert Seconds to Milliseconds

To convert from seconds (s) to milliseconds (ms), we use the conversion factor that 1 s = 1,000 ms. Therefore, to convert 9 s to milliseconds: \[ 9 \, \text{s} = 9 \times 1,000 \, \text{ms} = 9,000 \, \text{ms} \]

Step 4: Convert Meters to Kilometers

To convert from meters (m) to kilometers (km), we use the conversion factor that 1 km = 1,000 m. Therefore, to convert 2000 m to kilometers: \[ 2000 \, \text{m} = \frac{2000}{1000} \, \text{km} = 2 \, \text{km} \]

Final Answer

\[ \begin{array}{|c|c|} \hline 30 \, \text{dL} = & \boxed{3 \, \text{L}} \\ \hline 6 \, \text{Mg} = & \boxed{6,000,000 \, \text{g}} \\ \hline \boxed{9,000 \, \text{ms}} = & 9 \, \text{s} \\ \hline \boxed{2 \, \text{km}} = & 2000 \, \text{m} \\ \hline \end{array} \]

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