Metric prefixes: Arrange the following from smallest magnitude to largest magnitude. 1. Hecto (10^2) 2. Centi (10^-2) 3. Deca (10^1) 4. Kilo (10^3) 5. Deci (10^-1)

Introduction / Context:
Metric prefixes denote powers of ten and are widely used in science and engineering. Ordering them by magnitude tests your familiarity with place values and exponential notation.

Given Data / Assumptions:

• Centi = 10^-2, Deci = 10^-1, Deca = 10^1, Hecto = 10^2, Kilo = 10^3.
• Task: Sort from smallest to largest magnitude.
• Use standard SI meanings for the prefixes.

Concept / Approach:
Compare exponents numerically. More negative exponents indicate smaller values; larger positive exponents indicate larger values. We arrange ascending by exponent value: -2, -1, +1, +2, +3.

Step-by-Step Solution:

Verification / Alternative check:
Insert a reference 10^0 between Deci and Deca to confirm order, then remove it; the surrounding positions remain consistent.

Why Other Options Are Wrong:

• 1, 3, 4, 5, 2 / 1, 5, 3, 4, 2 / 5, 2, 1, 4, 3: These mix ascending and descending powers, misplacing negative and positive exponents.

Common Pitfalls:
Confusing deci with deca due to similar spelling; forgetting that centi is 1/100 while hecto is 100 times the base unit.

Final Answer:
2, 5, 3, 1, 4