Scientific Notation Converter

Convert a decimal number to scientific notation, or expand scientific notation back into a plain decimal.

Reviewed by the WorldCalcs team · Methodology · Last reviewed: June 2026

Decimal to scientific

Result

1.2345 × 104

E-notation: 1.2345E4

Scientific to decimal

Result

0.00056

What is scientific notation?

Scientific notation is a compact way to write very large or very small numbers. A number is written as a coefficient between 1 and 10 multiplied by a power of ten — for example, 12 345 becomes 1.2345 × 10⁴, and 0.00056 becomes 5.6 × 10⁻⁴. It is widely used in science and engineering to keep long strings of zeros manageable.

How the conversion works

To convert a decimal to scientific notation, move the decimal point until one non-zero digit remains in front of it, and count the moves: that count is the exponent, positive if the number was large and negative if it was small. To go back, multiply the coefficient by ten raised to that exponent, moving the decimal point the other way. E-notation, such as 1.2345E4, is the same value written for calculators and computers.

Example

12 345 has its decimal point moved four places to the left, giving 1.2345 × 10⁴. The small number 0.00056 has its point moved four places to the right, giving 5.6 × 10⁻⁴. Reversing 5.6 × 10⁻⁴ returns 0.00056.

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Results are estimates and may contain errors — for general information only, not professional advice. Always verify before relying on them. Disclaimer

How to use

Use the top section to turn a plain decimal into scientific notation — enter the number and read the coefficient, exponent and E-notation. Use the bottom section to expand scientific notation back to a decimal by entering the coefficient and exponent.

Frequently asked questions

What is scientific notation used for?+

It expresses very large or very small numbers compactly, avoiding long runs of zeros — useful in science, engineering and computing.

What does the exponent mean?+

The exponent is how many places the decimal point moves. A positive exponent means a large number (point moves left); a negative exponent means a small number (point moves right).

What is E-notation?+

E-notation writes "× 10 to the power b" using the letter E, so 1.2345 × 10⁴ becomes 1.2345E4. Calculators and programming languages use it because it is easy to type.

How do you convert back to a decimal?+

Multiply the coefficient by ten to the power of the exponent. For 5.6 × 10⁻⁴, move the decimal point four places left to get 0.00056.

Should the coefficient always be between 1 and 10?+

In standard ("normalised") scientific notation, yes — the coefficient has exactly one non-zero digit before the decimal point, and this calculator returns that standard form.