Scientific Notation Converter
Convert numbers to scientific notation and back: 0.000045 = 4.5 × 10⁻⁵. Exact decimal form, E notation, engineering notation with SI prefixes and significant figures.
Significant figures as typed: 2. Write in calculators and spreadsheets as 4.5E-5.
Powers of ten and SI prefixes
| Power | Decimal | Prefix | Symbol |
|---|---|---|---|
| 10¹² | 1,000,000,000,000 | tera | T |
| 10⁹ | 1,000,000,000 | giga | G |
| 10⁶ | 1,000,000 | mega | M |
| 10³ | 1,000 | kilo | k |
| 10⁰ | 1 | — | — |
| 10⁻³ | 0.001 | milli | m |
| 10⁻⁶ | 0.000001 | micro | µ |
| 10⁻⁹ | 0.000000001 | nano | n |
| 10⁻¹² | 0.000000000001 | pico | p |
How scientific notation works
A number in scientific notation is a coefficient from 1 up to (but not including) 10, times 10 raised to a whole-number power. Move the decimal point until one non-zero digit is left of it; the number of places moved is the exponent — positive if you moved left (big numbers), negative if you moved right (small numbers). 123,000 → 1.23 × 10⁵; 0.000045 → 4.5 × 10⁻⁵.
This converter does the arithmetic on the digits themselves rather than in floating point, so long values such as 602214076000000000000000 or 0.00000000015 come back exactly, with no stray 0.0000000001 errors.
E notation, engineering notation and SI prefixes
Calculators and spreadsheets write × 10ⁿ as "e": 6.02e+23 means 6.02 × 10²³. Engineering notation keeps the exponent a multiple of 3 so it lines up with SI prefixes — 0.000047 F is 47 × 10⁻⁶ F, or 47 µF. The prefix names and symbols (kilo k 10³, mega M 10⁶, micro µ 10⁻⁶, nano n 10⁻⁹ and so on, up to quetta Q 10³⁰) follow NIST Special Publication 811, Table 5.
Frequently asked questions
How do I write 0.0005 in scientific notation?
5 × 10⁻⁴. The decimal point moves 4 places to the right to reach 5, so the exponent is −4.
What is 3.2 × 10^6 in standard form?
3,200,000. A positive exponent moves the decimal point that many places to the right.
What does 1e-6 mean?
It is E notation for 1 × 10⁻⁶, which is 0.000001 — one millionth, the SI prefix micro (µ).
How many significant figures does 0.00450 have?
Three: 4, 5 and the trailing 0 (it is after the decimal point, so it was measured). Leading zeros never count. In scientific notation it is 4.50 × 10⁻³.
What is the difference between scientific and engineering notation?
Scientific notation has one digit before the point (4.7 × 10⁻⁵). Engineering notation uses exponents that are multiples of 3 (47 × 10⁻⁶) so the value reads straight off as an SI prefix (47 µ).
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