Scientific Notation Calculator
Write any number in scientific notation (a × 10ⁿ), engineering notation (exponent a multiple of 3) and E-notation, and see its order of magnitude.
Move the decimal point until one non-zero digit is in front of it and count the moves: 149,600,000 = 1.
How the scientific notation calculator works
Move the decimal point until one non-zero digit is in front of it and count the moves: 149,600,000 = 1.496 × 10⁸. Engineering notation uses powers of 1,000 so the prefix (kilo, mega, milli…) can be read off: 149.6 × 10⁶.
Formula: x = a × 10ⁿ with 1 ≤ |a| < 10
Worked examples
| Inputs | Scientific notation | Note |
|---|---|---|
| 149,600,000 (km to the Sun) | 1.496 × 10^8 | 1.496 × 10⁸ |
| 0.000000123 | 1.23 × 10^-7 | 1.23 × 10⁻⁷, 123 nano |
| 6.022e23 | 6.022 × 10^23 | Avogadro's number |
FAQFrequently asked questions
Why use scientific notation?
To write very large or small numbers compactly and to show precision explicitly through significant figures.
What is engineering notation?
Scientific notation restricted to exponents that are multiples of 3, matching SI prefixes: 4.7 × 10⁻³ becomes 4.7 milli.
What does 1e8 mean?
1 × 10⁸ = 100,000,000. The e is how calculators and programs write "times ten to the".
How do I multiply numbers in scientific notation?
Multiply the mantissas and add the exponents: (2 × 10³)(3 × 10⁴) = 6 × 10⁷.
What is an order of magnitude?
The power of ten: two numbers differ by an order of magnitude when one is about ten times the other.
Where these figures come from
- NIST Digital Library of Mathematical Functions — reference definitions for elementary and special functions
- Wolfram MathWorld — definitions and formulas for every topic on this page
- NIST/SEMATECH e-Handbook of Statistical Methods — the statistical formulas (mean, variance, z, confidence intervals, sample size)
- Common Core State Standards — Mathematics — the terms and methods taught in US schools
Last checked: September 2026. Formulas are fixed by mathematics and do not change with tax years or regulations.