Scientific Notation Calculator
This scientific notation calculator converts in both directions. Type a plain number to get its scientific notation, or paste a scientific form like 6.02e23 to get the standard number back. You'll see the scientific notation, the E notation calculators use, engineering notation, and the full decimal form, with the steps that show how the decimal point moved, and it'll handle the very large and the very small with ease.
- Both directions
- E notation
- Engineering notation
- Standard form
- Steps shown
Last updated June 16, 2026 coefficient × 10 to a power Reviewed by the Calcowa math team
Type a plain number like 0.0042, or a scientific form like 4.2e-3 or 4.2 × 10^-3.
Enter a number or a scientific notation value.
45000 → move the point 4 places left → 4.5 × 10⁴
What is scientific notation?
Scientific notation writes a number as a coefficient between 1 and 10, times a power of 10. So 45,000 becomes 4.5 × 10⁴, and 0.0023 becomes 2.3 × 10⁻³. It's a compact way to handle numbers that are awkwardly big or small, and it makes them easy to compare at a glance, which is why science, engineering, and calculators all use it. It's the standard for big and small numbers everywhere.
How to write a number in scientific notation
Here's how to convert 45,000:
- 1
Place the decimalPut the decimal after the first nonzero digit: 4.5.
- 2
Count the movesYou moved the point 4 places left to get there.
- 3
Write the powerLeft moves are positive, so it's 4.5 × 10⁴.
For a small number like 0.0023, you move the point the other way, to the right, which makes the power negative, so it's 2.3 × 10⁻³.
Scientific notation to standard form, and E notation
When you're going back to a plain number, move the decimal point by the exponent: right for a positive power, left for a negative one. So 4.5 × 10⁴ becomes 45,000 and 2.3 × 10⁻³ becomes 0.0023. Calculators write the same thing as E notation, swapping "× 10^" for the letter e, so you'll see 4.5e4 and 2.3e-3. This tool reads either form you type and shows all of them, so you don't lift a finger converting back and forth.
Engineering notation
Engineering notation is scientific notation with one rule added: the exponent is always a multiple of 3. That lines it up with the metric prefixes, so you'll recognize 10³ as kilo, 10⁶ as mega, and 10⁻³ as milli. It means 45,000 shows as 45 × 10³ rather than 4.5 × 10⁴, which reads naturally as 45 kilo-units. The result panel shows the engineering form next to the standard scientific one. For raw powers of ten, the exponent calculator works them out.
Scientific notation examples
| Number | Scientific notation |
|---|---|
| 4,500 | 4.5 × 10³ |
| 0.0023 | 2.3 × 10⁻³ |
| 6,022,000 | 6.022 × 10⁶ |
| 0.000 000 5 | 5 × 10⁻⁷ |
| 93,000,000 | 9.3 × 10⁷ |
Frequently asked questions
Is standard form the same as scientific notation?
In the UK, "standard form" is the name for scientific notation, so they mean the same thing. Confusingly, in the US "standard form" can also mean the ordinary written-out number. This calculator labels the plain number as standard form and the powers form as scientific notation, so there's no mix-up.
Move the decimal point so one nonzero digit sits in front of it, count how many places you moved, and that count is the power of 10. For 4,500 you move the point 3 places left to get 4.5, so it's 4.5 × 10³. Moving left gives a positive power, moving right gives a negative one, and it's quick once you've done a couple.
Scientific notation writes a number as a coefficient between 1 and 10 times a power of 10, like 4.5 × 10³. It keeps very large and very small numbers short, so they're easy to compare, which is why science and engineering lean on it so heavily.
E notation is how calculators and computers show scientific notation, replacing "× 10^" with the letter e. So 4.5 × 10³ becomes 4.5e3, and 2.3 × 10⁻³ becomes 2.3e-3. The number after the e is the exponent, and you'll see both forms here.
Move the decimal point by the exponent: right for a positive power, left for a negative one, filling in zeros as needed. So 4.5 × 10³ moves the point 3 places right to 4,500, and 2.3 × 10⁻³ moves it 3 places left to 0.0023. Type the scientific form above and you'll get the plain number back.
Engineering notation is like scientific notation, but the exponent is always a multiple of 3, so it lines up with units like kilo, mega, and milli. So 45,000 is 45 × 10³ in engineering notation rather than 4.5 × 10⁴. The result above shows it alongside the standard scientific form, so you've got both.
Yes. You can type a plain number like 0.0042, or a scientific form like 4.2e-3 or 4.2 × 10^-3, and the calculator reads either one. It'll then show the scientific notation, E notation, engineering notation, and the standard decimal form together.
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