Scientific Notation Calculator
Convert a number between standard decimal form and scientific notation, showing the exponent and coefficient clearly.
Your results
Calculation breakdown
- To scientific notation
- coefficient × 10^exponent, with 1 ≤ |coefficient| < 10
- From scientific notation
- coefficient × 10^exponent
Worked example
6,500,000 in scientific notation is 6.5 × 10^6.
Assumptions
- Zero is shown as 0 × 10⁰ as a special case.
- Only the direction you select is used; the other fields are ignored.
How this calculator works
This calculator converts a plain number into scientific notation (a coefficient between 1 and 10 multiplied by a power of ten), or converts a coefficient and exponent back into standard decimal form.
Frequently asked questions
What is scientific notation used for?
It's a compact way to write very large or very small numbers, commonly used in science and engineering.
What if I enter zero?
Zero is a special case and is shown as 0 × 10⁰ rather than causing an error.
Can I convert back from scientific notation?
Yes, switch the conversion direction and enter the coefficient and exponent to see the standard decimal number.
Editorial review and responsibility
Reviewed by the CalcAussie editorial team on 21 September 2026. Review scope: Method, Australian terminology, material assumptions, source links and user-facing limitations.
Calculator results remain estimates based on the figures entered. Check material decisions against current official information and report a suspected error so it can be reproduced and corrected.