Questions: Which quantity in each pair is larger? Select the single best answer in each part. Note: Reference the SI prefixes table for additional information. Part 1 of 4 12 cL 12 GL Part 2 of 4 15 Mg 15 mg Part 3 of 4 11 nm 11 m Part 4 of 4 20 ds 20 ks

Which quantity in each pair is larger? Select the single best answer in each part. Note: Reference the SI prefixes table for additional information. Part 1 of 4 12 cL 12 GL Part 2 of 4 15 Mg 15 mg Part 3 of 4 11 nm 11 m Part 4 of 4 20 ds 20 ks
Transcript text: Which quantity in each pair is larger? Select the single best answer in each part. Note: Reference the SI prefixes table for additional information. Part 1 of 4 12 cL 12 GL Part 2 of 4 15 Mg 15 mg Part 3 of 4 11 nm 11 m Part 4 of 4 20 ds 20 ks
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Solution

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Solution Steps

Step 1: Understanding SI Prefixes

To determine which quantity is larger in each pair, we need to understand the SI prefixes:

  • "c" stands for centi, which is \(10^{-2}\).
  • "G" stands for giga, which is \(10^9\).
  • "M" stands for mega, which is \(10^6\).
  • "m" stands for milli, which is \(10^{-3}\).
  • "n" stands for nano, which is \(10^{-9}\).
  • "d" stands for deci, which is \(10^{-1}\).
  • "k" stands for kilo, which is \(10^3\).
Step 2: Comparing Quantities in Part 1
  • 12 cL (centiliters) is \(12 \times 10^{-2}\) L.
  • 12 GL (gigaliters) is \(12 \times 10^9\) L. Since \(10^9\) is much larger than \(10^{-2}\), 12 GL is larger.
Step 3: Comparing Quantities in Part 2
  • 15 Mg (megagrams) is \(15 \times 10^6\) g.
  • 15 mg (milligrams) is \(15 \times 10^{-3}\) g. Since \(10^6\) is much larger than \(10^{-3}\), 15 Mg is larger.
Step 4: Comparing Quantities in Part 3
  • 11 nm (nanometers) is \(11 \times 10^{-9}\) m.
  • 11 m is simply 11 m. Since \(10^{-9}\) is much smaller than 1, 11 m is larger.

Final Answer

\[ \begin{align_} \text{Part 1:} & \quad \boxed{12 \, \text{GL}} \\ \text{Part 2:} & \quad \boxed{15 \, \text{Mg}} \\ \text{Part 3:} & \quad \boxed{11 \, \text{m}} \\ \end{align_} \]

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