Let's carefully analyze each of the given options to determine the correct answer for what multiplier the word "kilo" represents.
1. Option A: 100
The word "kilo" does not represent a multiplier of 100. Instead, the prefix "hecto" represents 100 in the metric system.
2. Option B: 1,000
The prefix "kilo" is commonly used in the metric system to denote a factor of 1,000. For example, 1 kilometer (km) is 1,000 meters (m), and 1 kilogram (kg) is 1,000 grams (g). This matches the known definition and usage of the prefix "kilo."
3. Option C: [tex]\(\frac{1}{100}\)[/tex]
The prefix "kilo" does not represent a fraction or a division by 100. This prefix indicates a multiplication factor of 1,000 rather than a division.
4. Option D: [tex]\(\frac{1}{10}\)[/tex]
The prefix "kilo" also does not represent a division by 10. Instead, the prefix "deci" represents a division by 10. "Kilo" signifies multiplication, not division.
Based on this analysis, we conclude that the multiplier represented by the word "kilo" in the metric system is:
Correct answer: B. 1,000
