High School

Which of the following shows the prefixes in the correct descending order of power?

A. mega, giga, kilo, nano
B. giga, kilo, mega, nano
C. giga, mega, kilo, nano
D. nano, kilo, giga, mega

Answer :

The correct descending order of power for the given prefixes is giga, mega, kilo, nano.

A more detailed explanation of the prefixes and their descending order of power:

1. Giga (G): Giga is a prefix used to denote one billion (1,000,000,000) units. It is often used in relation to large quantities or measurements, such as gigabytes (GB) for computer storage or gigawatts (GW) for power.

2. Mega (M): Mega represents one million (1,000,000) units. It is commonly used to describe large-scale quantities, such as megabytes (MB) for file sizes or megahertz (MHz) for processor speeds.

3. Kilo (k): Kilo signifies one thousand (1,000) units. It is frequently used to measure smaller quantities, such as kilobytes (KB) for data storage or kilowatts (kW) for power consumption.

4. Nano (n): Nano represents one billionth (1/1,000,000,000) of a unit. It is used to describe extremely small measurements, such as nanometers (nm) for length or nanoseconds (ns) for time.

Therefore, the correct descending order of power for the given prefixes is giga, mega, kilo, nano.

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Final answer:

In the SI units or metric system, the descending order of power for the prefixes is Giga (10⁹), Mega (10⁶), Kilo (10³), and Nano (10⁻⁹). For example, a gigameter represents 10⁹ meters, while a nanometer represents 10⁻⁹ meters.

Explanation:

The SI units or metric system uses various prefixes to express factors of 10 for different quantities. These prefixes are given in descending order from highest to lowest: Giga (10⁹), Mega (10⁶), Kilo (10³), and Nano (10⁻⁹). Therefore, from the options provided, the correct descending order of power for the prefixes is: Giga, Mega, Kilo, Nano.

To make this clearer, let's consider the example of a distance. If you have a gigameter (Gm), you have 10⁹ meters. A megameter (Mm) is 10⁶ meters, a kilometer (Km) is 10³ meters, and a nanometer (nm) is 10⁻⁹ meters. As you can see, this is a decrease in power of 10 moving from Giga to Nano, just as we stated above.

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