Last updated: October 2026
What is scientific notation?
Short answer: scientific notation writes very large or very small numbers as a number between 1 and 10 multiplied by a power of 10 — for example, 4,500,000 becomes 4.5 × 106 and 0.0000456 becomes 4.56 × 10-5. The converter above (also called a scientific notation calculator) goes both ways: decimal to scientific notation, and scientific notation back to standard form.
How to convert to scientific notation
Converting a decimal to scientific notation takes four steps:
- Find the first non-zero digit — in 0.0000456 that's the 4.
- Put the decimal point right after it — 0.0000456 becomes 4.56.
- Count how many places the point moved — that's your exponent. Moved left (big numbers) gives a positive exponent: 4,500,000 → 4.5 × 106. Moved right (small decimals) gives a negative exponent: 0.0000456 → 4.56 × 10-5.
- Drop trailing zeros — 4.560 becomes 4.56.
The tool above follows exactly these steps, but with exact string math instead of floating-point arithmetic — so even 30-digit numbers convert without rounding errors.
Scientific notation examples
| Standard form | Scientific notation |
|---|---|
| 4,500,000 | 4.5 × 106 |
| 0.0000456 | 4.56 × 10-5 |
| 299,792,458 (speed of light, m/s) | 2.99792458 × 108 |
| 0.00000000006674 (gravitational constant) | 6.674 × 10-11 |
| -12,300 | -1.23 × 104 |
E notation vs scientific notation
E notation is just scientific notation for small screens. Calculators, spreadsheets and programming languages can't show superscripts, so they write 4.56E-5 instead of 4.56 × 10-5 — the E means "times ten to the power of". Lowercase e means the same thing: 4.56e-5.
This scientific notation converter accepts E notation input (4.56e-5, 1.2E10, even 2.5×10^7) in the second box and always shows you both the × 10n form and the E form in the results — so whatever format your calculator spits out, you'll recognize it here.
Powers of 10 and metric (SI) prefixes
The exponents in scientific notation line up with the metric prefixes you already use. 103 is a kilo, 10-3 is a milli, and so on — which is why scientists and engineers love this system: the exponent tells you the scale at a glance.
| Power of 10 | Value | Prefix | Symbol |
|---|---|---|---|
| 109 | 1,000,000,000 | giga | G |
| 106 | 1,000,000 | mega | M |
| 103 | 1,000 | kilo | k |
| 10-3 | 0.001 | milli | m |
| 10-6 | 0.000001 | micro | µ |
| 10-9 | 0.000000001 | nano | n |
| 10-12 | 0.000000000001 | pico | p |
Frequently asked questions
How do I convert a number to scientific notation?
Move the decimal point until exactly one non-zero digit sits before it, then count how many places it moved — that count is the exponent. Moved left gives a positive exponent (4,500,000 → 4.5 × 106); moved right gives a negative one (0.0000456 → 4.56 × 10-5). The converter above does it instantly.
How do I convert scientific notation back to a normal number?
Move the decimal point right by the exponent for positive exponents, left for negative ones, filling with zeros. So 4.56 × 105 becomes 456,000 and 4.56 × 10-5 becomes 0.0000456. Paste E notation like 4.56e-5 into the second box above to expand it.
What is E notation?
E notation is the compact way calculators and computers write scientific notation: 4.56E-5 means 4.56 × 10-5. The E simply stands for "times ten to the power of". This converter accepts both lowercase e and uppercase E, and always shows the E-notation form alongside the × 10n form.
What's the difference between scientific notation and standard form?
They're the same value written differently. Standard form is the ordinary decimal you write every day (4,500,000); scientific notation is the compact a × 10n version (4.5 × 106). Scientists and engineers prefer scientific notation because the exponent instantly shows the order of magnitude.
Can this converter handle very large or very small numbers?
Yes. It uses exact string arithmetic instead of floating-point math, so numbers with 15, 30 or even hundreds of digits convert without rounding errors — try Avogadro's number or the gravitational constant from the examples above.
Why does my calculator show E instead of × 10?
Small calculator and spreadsheet displays can't show superscripts, so they use E as shorthand: 2.5E8 is exactly 2.5 × 108. It means the same thing — this page shows you both forms so there's no confusion.
Does it work for zero and negative numbers?
Yes. Zero converts to plain 0, and negative numbers keep their sign — for example, -12,300 becomes -1.23 × 104.
What is engineering notation?
Engineering notation is a cousin of scientific notation where the exponent is always a multiple of 3, so it lines up with metric prefixes: 35,000 becomes 35 × 103 (35 kilo) instead of 3.5 × 104. The coefficient ranges from 1 to 1,000 instead of 1 to 10. Electrical and mechanical engineers prefer it because a reading like 4.7 × 103 Ω reads directly as 4.7 kΩ.
What is normalized notation?
Normalized notation is the strict form of scientific notation where the coefficient is always between 1 and 10 (never 10 or more, never less than 1) — for example, 1.5 × 105, not 15 × 104. That's exactly the form this converter produces.
How do I multiply or divide numbers in scientific notation?
Multiply the coefficients and add the exponents: (3 × 104) × (2 × 103) = 6 × 107. To divide, divide the coefficients and subtract the exponents: (8 × 106) ÷ (2 × 102) = 4 × 104. Renormalize the coefficient back into the 1–10 range afterward if needed.
What are the most common scientific notation mistakes?
The top three: using the wrong sign for the exponent (103 vs 10-3 — one is a thousand, the other is a thousandth), moving the decimal point the wrong direction during conversion, and leaving the coefficient outside the 1–10 range. Double-check by expanding your result back to a plain number — if the size looks wrong, the exponent sign is the usual culprit.
How do I enter scientific notation on a calculator?
Most scientific calculators have an EXP, EE or EEX key — press 4.56, then EXP, then -5 to enter 4.56 × 10-5 without typing × 10 at all. Basic calculators accept E notation directly: 4.56E-5. In spreadsheets, typing 4.56E-5 also works and is stored as the number 0.0000456.
Is my data private?
Completely. Conversion runs entirely in your browser — nothing is uploaded, stored or tracked.