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

Solution Steps

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 \(10^3\).

• 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.

• 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.

• 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