DIY Cost Tools
Scientific Notation Calculator
Convert a finite decimal number to normalized scientific notation and identify its coefficient and exponent. The prefilled example shows a useful result immediately.
Enter a finite number with magnitude no greater than 10¹⁰⁰. Scientific input such as 1.25e-6 is accepted. All fields are required.
How to use
Enter the required numbers, then select Calculate. Invalid inputs clear previous results and show an explanation. Answers display up to ten significant digits unless an exact integer factorization is shown.
Formula and explanation
x = c × 10ᵉ, where e is an integer and 1 ≤ |c| < 10 for nonzero x. Moving the decimal point left gives a positive exponent; moving it right gives a negative exponent. Zero is displayed with coefficient 0 and exponent 0.
Worked example
123,456 becomes 1.23456 × 10⁵. The coefficient is 1.23456 and exponent is 5.
Important limitations
Shows ten significant digits, so conversion can round longer inputs. Rounding may change the exponent at a power-of-ten boundary. Extremely tiny values below the browser’s numeric range may parse as zero. This does not perform operations between two scientific-notation numbers or preserve arbitrary-precision digits.
Frequently asked questions
What does a negative exponent mean?
It divides by a power of ten: 1.25 × 10⁻⁶ is 0.00000125.
Can the coefficient be negative?
Yes. Negative inputs retain their sign.
What is normalized notation?
For nonzero values, the coefficient magnitude is at least 1 and less than 10.
How is zero handled?
It displays 0 × 10^0; zero has no unique normalized exponent.
Review notes
Reviewed October 1, 2026. Default outputs and boundary cases were independently checked. Blank, nonfinite, excessive, and calculator-specific invalid inputs were tested before publication. This is an educational tool; verify precision and domain assumptions for professional use.