Arrange metric prefixes by increasing magnitude relative to the base unit: Items: a. Centi (10^-2) b. Deca (10^1) c. Kilo (10^3) d. Deci (10^-1) Choose the correct smallest-to-largest order.

Introduction / Context:Metric prefixes denote powers of ten. We arrange them from the smallest factor to the largest.

Given Data / Assumptions:

• centi = 10^-2.
• deci = 10^-1.
• deca = 10^1.
• kilo = 10^3.

Concept / Approach:Order by exponent value: negative exponents (fractions of base) come before positive exponents (multiples of base).

Step-by-Step Solution:

Verification / Alternative check:Compare numerically: 0.01 < 0.1 < 10 < 1000 — consistent.

Why Other Options Are Wrong:

• Any order placing kilo before deca or negative exponents after positives is inconsistent with magnitudes.

Common Pitfalls:Mixing “deci” and “deca” due to similar spelling; note opposite sides of the base unit.

Final Answer:a, d, b, c