Convert any number to scientific notation — and back
This scientific notation converter rewrites any number as a × 10ⁿ, where the coefficient a is at least 1 and less than 10. Type a long decimal such as 0.000045 or a huge value like 602,214,076,000,000,000,000,000 and you instantly see it in scientific notation, E notation, engineering notation and SI-prefix form — or paste 6.02e23 or 6.02 × 10^23 to get the full decimal back.
Scientific notation is called standard form in UK and Indian schools and exponential notation on many calculators. Whatever you call it, the converter explains each result in plain words, lets you round to a chosen number of significant figures, and works with exact digit strings, so even 400-digit numbers convert without rounding errors.
How to use the Scientific Notation Converter
- Type or paste a number. Decimal, E notation (6.02e23), caret form (6.02 × 10^23) and superscript form (1.5×10⁻⁴) are all understood.
- Leave “Significant figures” on Auto to keep your digits, or pick a number to round the coefficient.
- Read the scientific-notation answer at the top, with the decimal value underneath.
- Scroll the cards for E notation, engineering notation, SI prefix, decimal, spreadsheet and LaTeX versions — each has its own Copy button.
- Use the examples (Avogadro’s number, the speed of light, the mass of an electron) to see how real scientific constants are written.
Scientific Notation Converter features
Every common format
Scientific, E, engineering and SI-prefix notation, plus full decimal, calculator and LaTeX forms in one place.
Reads messy input
Accepts ×, x, *, ^, superscript digits, LaTeX \times, commas and spaces, so you can paste numbers from almost anywhere.
Significant-figure control
Round the coefficient to 1–15 significant figures, with correct carrying (9.99 → 1.0 × 10¹ at 2 s.f.).
Exact for huge and tiny numbers
Digits are handled as text, not binary floating point, so nothing is lost even far beyond a calculator’s 10-digit display.
Plain-English explanations
Each format explains how it was produced — which way the decimal point moved and why the exponent has its value.
How to write a number in scientific notation
Converting back is the same process in reverse: a positive exponent moves the decimal point to the right (making the number bigger), and a negative exponent moves it to the left. 7.2 × 10⁻³ = 0.0072, and 7.2 × 10⁴ = 72,000.
A quick sanity check: a number bigger than 10 always has a positive exponent, a number between 0 and 1 always has a negative exponent, and the exponent tells you roughly how many digits the number has. 3.844 × 10⁸ has nine digits before the decimal point, one more than the exponent.
Numbers that are already between 1 and 10 have an exponent of 0, because 10⁰ = 1. Negative numbers keep their sign on the coefficient: −0.0032 = −3.2 × 10⁻³. A negative exponent does not mean a negative number — it means a small one.
- Find the first non-zero digit and place the decimal point just after it. For 0.000045 that gives 4.5; for 384,400,000 it gives 3.844.
- Count how many places the decimal point moved. 0.000045 → 4.5 moves 5 places right; 384,400,000 → 3.844 moves 8 places left.
- Moving left makes a positive exponent, moving right a negative one. So 0.000045 = 4.5 × 10⁻⁵ and 384,400,000 = 3.844 × 10⁸.
- Drop zeros that are only placeholders. Keep zeros that are significant measurements, such as the final zero in 2.50 × 10³.
Scientific, engineering and E notation compared
Engineering notation restricts the exponent to multiples of three, so the coefficient falls between 1 and 1,000: 0.000045 becomes 45 × 10⁻⁶, which reads naturally as 45 micro-units. That is why engineers and electronics datasheets prefer it — the exponent maps straight onto an SI prefix such as kilo, mega, milli or nano.
E notation is the keyboard-friendly version used by calculators, Excel, Google Sheets and programming languages. The letter E stands for “times ten to the power”, so 4.5E-5 means 4.5 × 10⁻⁵. If a spreadsheet shows a long ID number as 1.23E+15, format the cell as text or as a number with zero decimal places to see every digit.
| Decimal | Scientific | E notation | Engineering | SI prefix |
|---|---|---|---|---|
| 0.000045 | 4.5 × 10⁻⁵ | 4.5E-5 | 45 × 10⁻⁶ | 45 µ (micro) |
| 0.0072 | 7.2 × 10⁻³ | 7.2E-3 | 7.2 × 10⁻³ | 7.2 m (milli) |
| 384,400,000 | 3.844 × 10⁸ | 3.844E+8 | 384.4 × 10⁶ | 384.4 M (mega) |
| 602,214,076,000,000,000,000,000 | 6.02214076 × 10²³ | 6.02214076E+23 | 602.214076 × 10²¹ | 602.214076 Z (zetta) |
Significant figures in scientific notation
Scientific notation makes precision unambiguous. Written as 1,200, a measurement could have two, three or four significant figures; written as 1.2 × 10³, 1.20 × 10³ or 1.200 × 10³, there is no doubt. Every digit in the coefficient is significant. That is why lab reports and physics exams usually ask for answers in standard form to a stated number of significant figures. For rounding ordinary decimals, the rounding calculator covers decimal places and nearest multiples too, and the exponent calculator evaluates powers such as 10⁻⁵ directly.
Scientific Notation Converter FAQ
How do I convert a number to scientific notation?
Move the decimal point until exactly one non-zero digit is in front of it, then multiply by 10 raised to the number of places you moved — positive if you moved left, negative if you moved right. The scientific notation converter does this instantly and shows the working in words.
What is 0.000045 in scientific notation?
4.5 × 10⁻⁵. The decimal point moves five places to the right to reach 4.5, so the exponent is −5. In E notation that is 4.5E-5, and in engineering notation 45 × 10⁻⁶ (45 micro).
Is standard form the same as scientific notation?
In the UK, India and many other countries, “standard form” means scientific notation (a × 10ⁿ with 1 ≤ a < 10). In the US, “standard form” sometimes means the ordinary decimal form instead, so check which your teacher means.
What does E mean in a number like 1.5E+8?
E means “times ten to the power of”. 1.5E+8 is 1.5 × 10⁸ = 150,000,000, and 3E-4 is 3 × 10⁻⁴ = 0.0003. Calculators and spreadsheets switch to this form when a number is too long for the display.
What is the difference between scientific and engineering notation?
Scientific notation keeps the coefficient between 1 and 10 with any whole-number exponent. Engineering notation keeps the exponent a multiple of 3, so the coefficient is between 1 and 1,000 and matches SI prefixes such as kilo (10³) and micro (10⁻⁶).
How do I enter scientific notation on a calculator?
Most scientific calculators have an EXP, EE or ×10ˣ key. To enter 6.02 × 10²³, type 6.02, press that key, then type 23. Do not type “× 10” yourself as well, or the calculator will multiply by ten an extra time. In Excel or Google Sheets, type 6.02E23 directly into a cell.
Can I type superscript or caret exponents?
Yes. 6.02 × 10^23, 6.02×10²³, 6.02*10^23, 6.02x10^23 and 6.02e23 are all read the same way. Commas and spaces inside the number are ignored.