High School

Which of the following is larger? (Circle your answer)

a. Kilo- or Nano-

b. Milli- or Micro-

c. Kilo- or Mega-

d. All are equal

Answer :

Final Answer:

The following which is larger option: c. Kilo- or Mega-

Explanation:

The correct answer is "c. Kilo- or Mega-." This is because the metric prefixes represent powers of 10, and when comparing kilo (10^3) to mega (10^6), mega is larger. The prefix kilo denotes a factor of a thousand, while mega denotes a factor of a million. Therefore, mega is three orders of magnitude larger than kilo.

In the given options:

a. Kilo- or Nano-: Kilo is larger as it represents 10^3, while Nano represents 10^(-9). Kilo is a positive power of 10, making it larger.

b. Milli- or Micro-: Milli is larger as it represents 10^(-3), while Micro represents 10^(-6). Again, milli is a positive power of 10, making it larger.

c. Kilo- or Mega-: Mega is larger, as explained above.

d. All are equal: This option is incorrect, as the prefixes represent different orders of magnitude, and they are not equal.

In summary, comparing kilo- and mega-, mega- is the larger of the two due to its higher order of magnitude, representing a factor of a million compared to kilo-'s factor of a thousand.

Therefore, the correct answer is: c. Kilo- or Mega-