Recognizing proper scientific notation Evaluate the statement: “The number 560,000, as written, is already in scientific notation.”

Introduction / Context:
Scientific notation standardizes how we write large and small numbers: a × 10^n with 1 ≤ a < 10. This convention improves readability, prevents zeros from being dropped or added accidentally, and facilitates clear comparison of magnitudes in datasheets and calculations.

Given Data / Assumptions:

• Number given: 560,000.
• No unit specified; the concept is unit-agnostic.
• We test compliance with strict scientific notation, not “approximate” styles.

Concept / Approach:
In scientific notation, the mantissa a must be at least 1 and less than 10. The exponent n is an integer. Writing 560,000 does not show a power of ten or a normalized mantissa. The correct scientific notation is 5.6 × 10^5 (or 5.600 × 10^5 if more significant digits are justified by measurement).

Step-by-Step Solution:

Verification / Alternative check:
Engineering notation groups powers by 3: 560,000 = 560 × 10^3. This is engineering notation (mantissa between 1 and 999), not scientific notation. Both are valid formats, but the rules differ; the prompt asked about scientific notation specifically.

Why Other Options Are Wrong:

Common Pitfalls:
Assuming any compact form qualifies; omitting the exponent; confusing engineering notation (steps of 10^3) with scientific notation (1 to 10 mantissa).

Final Answer:
Incorrect