Scientific Notation Converter

Science does not produce friendly numbers. Masses come out as 0.00000000000000000000000000167 kilograms, distances as 9,460,730,472,580,800 meters. Every textbook, every calculation, every tool in science lives in scientific notation - the one format that fits both extremes into a readable mantissa and exponent.

Scientific Notation Converter converts exactly, in both directions. A decimal becomes scientific and engineering notation with the mantissa and exponent derived from the digits themselves via BigInt arithmetic - no floating-point guessing. A value in scientific notation expands back into the full number or an exact fraction. E notation, the spreadsheet shorthand, is read and written alongside. Astronomy, physics and homework share one precise converter.

• Exact mantissa and exponent: Derived from the digits via BigInt, never approximated.
• Scientific and engineering forms: Both formats, side by side.
• E notation included: Read and written, with no confusion.
• Reverse conversion: Expand notation back to the full decimal or exact fraction.
• Up to 66 significant digits: Beyond what floating point can even hold.
• Adjustable mantissa precision: 1 to 15 significant digits for display.
• Copy or download: Results ready for reports and code.
• Free and private: Everything runs in your browser; nothing is uploaded.

1. Enter the number - as a decimal like 0.0000000125 or already in notation like 1.25e-8.
2. Read the scientific notation with its exact mantissa and exponent.
3. Read the engineering notation alongside it, with the exponent forced to a multiple of three.
4. Check the expanded form - the full decimal or the exact fraction.
5. Adjust the precision of the mantissa if you need fewer digits.
6. Copy or download the result.

Example 1 - Big. Enter 602200000000000000000000 (Avogadro). The tool returns 6.022 x 10^23 and 602.2 x 10^21 in engineering form.

Example 2 - Small. Enter 0.00000000000000000000000167. The mantissa 1.67 with exponent -24 appears exactly - the mass of a proton, in textbook form.

Example 3 - E notation in. Paste 6.022e23. It is read as Avogadro, expanded in full, and re-written in proper scientific form.

Example 4 - Reverse. Paste 1.6 x 10^-19; the tool expands it to 0.00000000000000000016 and shows the exact fraction 1/6250000000000000000.

Example 5 - Engineering alignment. 2500000000 becomes 2.5 x 10^9 in scientific form and 2.5 x 10^9 in engineering - exponent 9, the giga prefix, aligned with units.

• Exact arithmetic: BigInt-digit derivation, no rounding errors.
• Both standard formats: Scientific and engineering in one view.
• Both directions: In and out of notation.
• Extreme range: 66 significant digits, exact throughout.
• E notation covered: The spreadsheet form is handled too.
• Free and private: Runs entirely in the browser with nothing uploaded.