Scientific prefixes: The prefix “giga” (G) represents which power of ten?

Difficulty: Easy

Correct Answer: 10^9

Explanation:


Introduction / Context:
Metric prefixes are ubiquitous in engineering data sheets, process instrumentation, and scientific notation. Knowing the exponent associated with a prefix avoids orders-of-magnitude errors in calculations and reporting.


Given Data / Assumptions:

  • We follow SI prefix conventions.
  • Giga is commonly used for large quantities (e.g., gigapascal, gigajoule).


Concept / Approach:
SI prefixes map a symbol to a power of ten. The sequence around giga is: mega (10^6), giga (10^9), tera (10^12), peta (10^15). Negative exponents include milli (10^-3), micro (10^-6), nano (10^-9), pico (10^-12).


Step-by-Step Solution:

Identify “giga” → 10^9.Cross-check surrounding prefixes to avoid confusion with tera (10^12) and pico (10^-12).


Verification / Alternative check:
Common usage examples: 1 GJ = 10^9 J; 1 GHz = 10^9 cycles/s. These confirm the 10^9 scaling.


Why Other Options Are Wrong:

  • 10^-12: That is pico.
  • 10^12: That is tera.
  • 10^15: That is peta.


Common Pitfalls:
Mixing up giga with tera due to both using capital letters; always confirm the exponent.


Final Answer:
10^9

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