Understanding Metric Prefixes and Their Order

The question asks us to arrange several metric prefixes in a logical and meaningful order. A logical order for metric prefixes is typically based on the magnitude of the power of 10 they represent. These prefixes are used in the International System of Units (SI) to denote multiples or submultiples of base units.

Let's examine the given prefixes and their corresponding values in powers of 10:

To arrange these prefixes in a logical order based on their magnitude, we can sort them from the smallest value to the largest value. Comparing the powers of 10:

• nano: $10^{-9}$ (smallest)
• milli: $10^{-3}$
• centi: $10^{-2}$
• mega: $10^{6}$
• giga: $10^{9}$ (largest)

Arranging the prefixes in increasing order of magnitude:

1. nano ($10^{-9}$)
2. milli ($10^{-3}$)
3. centi ($10^{-2}$)
4. mega ($10^{6}$)
5. giga ($10^{9}$)

Now, let's map this ordered list back to the original numbers assigned to each word in the question:

• nano is word 2
• milli is word 1
• centi is word 3
• mega is word 5
• giga is word 4

Therefore, the logical and meaningful arrangement of the words in order of increasing magnitude is 2, 1, 3, 5, 4.

Let's check the given options to see which one matches this arrangement:

• Option 1: 4, 3, 2, 1, 5
• Option 2: 4, 5, 2, 3, 1
• Option 3: 2, 1, 3, 5, 4
• Option 4: 2, 4, 5, 3, 1

The arrangement 2, 1, 3, 5, 4 corresponds to Option 3.

Thus, the correct arrangement of the given words in a logical and meaningful order based on the magnitude of the metric prefixes is nano, milli, centi, mega, giga.

Revision Table: Metric Prefixes Order

The final ordered sequence of original numbers is 2, 1, 3, 5, 4.

Additional Information on Metric Prefixes

Metric prefixes are essential for expressing very large or very small quantities in a concise way. They are powers of 10, making conversions straightforward. The SI system uses a standard set of prefixes. Some common prefixes include:

• yocto ($10^{-24}$)
• zepto ($10^{-21}$)
• atto ($10^{-18}$)
• femto ($10^{-15}$)
• pico ($10^{-12}$)
• nano ($10^{-9}$)
• micro ($10^{-6}$)
• milli ($10^{-3}$)
• centi ($10^{-2}$)
• deci ($10^{-1}$)
• deka ($10^{1}$)
• hecto ($10^{2}$)
• kilo ($10^{3}$)
• mega ($10^{6}$)
• giga ($10^{9}$)
• tera ($10^{12}$)
• peta ($10^{15}$)
• exa ($10^{18}$)
• zetta ($10^{21}$)
• yotta ($10^{24}$)

Understanding these prefixes and their magnitudes is fundamental in various scientific and engineering fields.