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Math & AlgebraGenerated accuracy model review: 2026-05-06
Scientific Notation accuracy and testing
This page documents how Calwarden builds trust for this calculator: source notes, regression-style default tests, limitations, assumptions, unit handling, rounding, and visible change history.
Formula source
- The decimal point is moved until only one non-zero digit remains to the left. The number of places moved becomes the exponent. * **Large Numbers:** Moving decimal left makes exponent positive (1000 -> $1 \times 10^3$). * **Small Numbers:** Moving decimal right makes exponent negative (0.001 -> $1 \times 10^{-3}$).
Test cases
Default input regression check
Generated from the checked-in default inputs and calculate function.
Inputs
- Number: 123,456
Expected outputs
- Scientific: 1.2346 x 10^5
- Standard Decimal: 123456
Known limitations
- This page documents the checked-in calculator logic and does not certify results for every real-world edge case.
- Use the result as a planning estimate unless the calculator page states a stricter purpose.
Assumptions
- This calculator formats numeric inputs; it does not parse a separate scientific-notation text mode.
- Outputs use JavaScript number formatting, so extremely large or tiny values follow normal floating-point limits.
- The scientific output is rounded to four digits after the decimal in the coefficient.
- The decimal output is shown as a plain decimal string instead of locale-shortened formatting.
Unit handling
- Number accepts numeric values.
Rounding rules
- Number displays use up to 2 decimal places in the calculator UI.
Version history
1.0.0 - 2026-05-06
Generated accuracy and testing page from the current scientific-notation-converter calculator definition.
Change log
2026-05-06
Published default regression test documentation and metadata fallbacks for Scientific Notation.
Calculator transparency
Accuracy pages are generated from checked-in calculator definitions and can be upgraded with curated review metadata over time.