Standard Form Calculator – Convert Numbers to Standard Form
Convert numbers to standard form (scientific notation) or back to ordinary numbers.
Standard Form (Scientific Notation) Explained
Standard form (scientific notation) expresses numbers as a × 10n, where 1 ≤ a < 10 and n is an integer. It makes very large and very small numbers easier to read, compare, and calculate with.
| Ordinary Number | Standard Form | Context |
|---|---|---|
| 0.000001 | 1 × 10−6 | 1 micrometer |
| 0.001 | 1 × 10−3 | 1 millimeter = 10−3 meters |
| 299,792,458 | 2.998 × 108 | Speed of light (m/s) |
| 6,022,000,000,000,000,000,000,000 | 6.022 × 1023 | Avogadro's number |
| 9,460,730,472,580,800 | 9.46 × 1015 | One light-year (meters) |
To multiply in standard form: multiply the coefficients and add the exponents. (3 × 104) × (2 × 103) = 6 × 107. To add or subtract, first convert to the same exponent. Standard form is universally used in physics, chemistry, astronomy, and engineering.
How do I convert to standard form?
Move the decimal point so only one digit is left of the decimal. Count moves right (negative exponent) or left (positive exponent). Example: 0.00456 → 4.56 × 10−3.
What is the difference between standard form and normalized form?
In the UK, "standard form" always means scientific notation (a × 10n). In the US, "standard form" for a linear equation is ax + by = c. Scientific notation is unambiguous internationally.