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Scientific Notation

Convert numbers to and from scientific notation.

Free to use, no sign-up required. Scientific Notation is one of 198 tools built into Xenition, alongside a chat that can use them for you.

Converts a number into scientific notation, and a number written in e-notation back into an ordinary decimal.

How to use Scientific Notation

  1. Type a number in the box, either as a decimal such as 0.00042 or in e-notation such as 4.2e-4.
  2. Read the Scientific form, written as a mantissa × 10 to a power.
  3. Read the Decimal form, written out in full without thousands separators.

How it works

The number is written as one digit before the decimal point times a power of ten, keeping only the digits it needs, so 4.2 rather than 4.200000. The decimal form shows up to 20 decimal places. Numbers are stored as standard double-precision values, so only about 15 to 17 significant digits are kept.

Example

0.00042 becomes 4.2 × 10^-4. Entering 6.02e23 gives 6.02 × 10^23, which is 602000000000000000000000 as a decimal. −1500 becomes −1.5 × 10^3.

Questions about Scientific Notation

How do I type 4.2 × 10⁻⁴ into a calculator or spreadsheet?

Use e-notation: 4.2e-4. The e stands for “times ten to the power of”, and the same form works in this tool.

Is scientific notation the same as engineering notation?

No. Engineering notation keeps the power of ten a multiple of 3, so 0.00042 would be 420 × 10⁻⁶. Scientific notation always puts exactly one non-zero digit before the point.

Use it from chat

You do not have to open Scientific Notation to use it. Ask Xenition in plain language and it runs the right tool, then carries the answer into whatever you are working on — a document, a spreadsheet, a deck.

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