Boneyard Tools

Scientific Notation Converter

Switch a number between standard decimal form and scientific notation. Type a plain number to get its coefficient and power of ten, or paste scientific or E notation to read it back as a decimal.

How to convert scientific notation

  1. Pick a mode: enter a number to convert to scientific notation, or enter scientific notation to convert to a decimal.
  2. Type or paste your value. Scientific input accepts forms like 1.23e4, 1.23E-3 or 5 x 10^2.
  3. Read the result and copy it with one click.

Examples

Large number to scientific notation

12345
1.2345 x 10^4

Scientific notation to decimal

1.2 x 10^-3
0.0012

Frequently asked questions

What is scientific notation?

Scientific notation writes a number as a coefficient between 1 and 10 multiplied by a power of ten, such as 1.2345 x 10^4 for 12,345. It keeps very large and very small numbers short and easy to compare. It is also called standard form.

What is E notation and how does it differ?

E notation is the plain-text version used by calculators and code, where the letter e stands for 'times ten to the power of'. So 1.2345 x 10^4 is written 1.2345e+4, and 1.2 x 10^-3 is written 1.2e-3. The math is identical; only the formatting changes.

What range should the coefficient (mantissa) be in?

In normalized scientific notation the coefficient, also called the mantissa, is at least 1 and less than 10, so it always has a single nonzero digit before the decimal point. This converter normalizes your input to that range automatically.

How does it handle very large or very small numbers?

Large numbers get a positive exponent and small numbers (less than 1) get a negative exponent. For example 6,000,000 becomes 6 x 10^6 and 0.00004 becomes 4 x 10^-5. Results carry up to 15 significant digits, the precision a standard number can represent.

Does it handle negative numbers and zero?

Yes. The sign stays on the coefficient, so -45,000 becomes -4.5 x 10^4. Zero is a special case with no normalized form, so it is shown as 0 x 10^0.

Is my data private?

Yes. The conversion runs entirely in your browser and nothing you type is uploaded or stored.

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