Understanding the Arrangement of Metric Prefixes

The question asks us to arrange a given list of metric prefixes in a logical and meaningful order. The most common logical order for metric prefixes is based on their magnitude relative to the base unit. This usually means arranging them from the smallest magnitude to the largest magnitude, or vice versa. Let's identify the prefixes provided and their values.

The given prefixes are:

1. Deci
2. Mili
3. Kilo
4. Hecto
5. Centi
6. Deca

Identifying Metric Prefix Magnitudes

Each metric prefix represents a specific power of 10 by which the base unit is multiplied. Understanding these values is key to arranging them logically.

Arranging Prefixes in Logical Order

A logical order for these prefixes, moving from smallest magnitude to largest magnitude, would be:

• Mili (\(10^{-3}\))
• Centi (\(10^{-2}\))
• Deci (\(10^{-1}\))
• Deca (\(10^{1}\))
• Hecto (\(10^{2}\))
• Kilo (\(10^{3}\))

Note that the standard SI prefixes include powers of 10 like \(10^{0}\) (base unit), which falls between Deci and Deca, but the base unit itself was not listed in the question.

Matching the Order to the Given Numbers

Now, let's match this logical order to the numbers assigned in the question:

1. Mili corresponds to number 2
2. Centi corresponds to number 5
3. Deci corresponds to number 1
4. Deca corresponds to number 6
5. Hecto corresponds to number 4
6. Kilo corresponds to number 3

Therefore, the logical arrangement of the given words in order of increasing magnitude is 2, 5, 1, 6, 4, 3.

Comparing with Options

Let's check which option matches this sequence:

• Option 1: 1, 2, 6, 5, 4, 3
• Option 2: 4, 3, 5, 1, 2, 6
• Option 3: 2, 5, 1, 6, 4, 3
• Option 4: 2, 1, 5, 6, 4, 3

The sequence we derived, 2, 5, 1, 6, 4, 3, matches Option 3.

Conclusion

Arranging the metric prefixes Mili, Centi, Deci, Deca, Hecto, and Kilo by their magnitude from smallest to largest gives the order Mili, Centi, Deci, Deca, Hecto, Kilo. This corresponds to the numerical sequence 2, 5, 1, 6, 4, 3 based on the numbering in the question.

Revision Table: Metric Prefix Order

Additional Information on Metric Prefixes

Metric prefixes are used in the International System of Units (SI) to denote decimal multiples and submultiples of base units. They are a convenient way to express very large or very small quantities without writing out many zeros. Here are a few more common prefixes:

• Micro (\(\mu\)): \(10^{-6}\)
• Nano (n): \(10^{-9}\)
• Pico (p): \(10^{-12}\)
• Mega (M): \(10^{6}\)
• Giga (G): \(10^{9}\)
• Tera (T): \(10^{12}\)

Understanding the power of 10 each prefix represents helps in converting between different units (e.g., converting meters to centimeters or kilometers). The prefixes form a scale, usually increasing or decreasing by factors of \(10^3\), although centi, deci, and deca are exceptions, representing factors of \(10^2\), \(10^1\), and \(10^1\) respectively relative to the base unit.