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Scientific Notation Calculator

Convert a number to scientific notation, or convert scientific notation back to a decimal number.

About the Sci. Notation Calculator

Scientific notation compactly represents very large or very small numbers as a value between 1 and 10 multiplied by a power of ten — essential in physics, chemistry, and engineering. This calculator converts a regular decimal number into scientific notation, or converts scientific notation back into a standard decimal.

How It Works

Converting to scientific notation, the calculator expresses the number using JavaScript's exponential notation, which normalizes it to a single leading digit followed by a decimal fraction and a power of ten. Converting from scientific notation, it parses the "e" notation format directly back into a plain decimal number.

Scientific Notation: N = a × 10^b, where 1 ≤ |a| < 10. Example format: 6.5e6 means 6.5 × 10⁶.

Example

Scenario: Converting 6,500,000 to scientific notation.

Result: 6.5000e+6, meaning 6.5 × 10⁶.

Assumptions & Limitations

  • Uses the 'e' notation format (like 3.2e5) as both the input and output format for scientific notation, matching how calculators and programming languages commonly represent it.
  • Assumes standard decimal input for the 'to scientific notation' direction.
  • Extremely large or small numbers may already be displayed in scientific notation by the browser before conversion, which is expected behavior for numbers beyond typical decimal display ranges.

Frequently Asked Questions

What does the 'e' mean in scientific notation?
The 'e' stands for 'exponent' and separates the coefficient from the power of ten — for example, 6.5e6 means 6.5 multiplied by 10 to the 6th power, or 6,500,000.
Why use scientific notation instead of writing out the full number?
Scientific notation makes extremely large or small numbers — like the distance to a star or the mass of an atom — much easier to read, compare, and calculate with than writing out every digit.
How do I convert a very small decimal, like 0.000045, to scientific notation?
The same conversion applies with a negative exponent — 0.000045 converts to 4.5e-5, meaning 4.5 × 10⁻⁵.

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