Metric prefixes — arrange these from smaller to larger magnitude: (a) Centi (b) Deca (c) Kilo (d) Deci

Introduction / Context:The metric system uses prefixes for powers of ten. Order them by increasing factor.

Given Data / Assumptions:Centi = 10^-2, Deci = 10^-1, Deca = 10^1, Kilo = 10^3.

Concept / Approach:Compare powers of ten from smallest (most negative) to largest.

Step-by-Step Solution:Centi (a) 10^-2.Deci (d) 10^-1.Deca (b) 10^1.Kilo (c) 10^3.

Verification / Alternative check:SI prefix tables confirm this order.

Why Other Options Are Wrong:They misorder exponents.

Common Pitfalls:Confusing deci (10^-1) with deca (10^1).

Final Answer:a, d, b, c