Formula
Find e such that 10^e ≤ |x| < 10^(e+1).
- Use the units shown beside each field.
- Results update automatically whenever you change an input.
- Displayed values use up to four decimal places, or scientific notation for very small or large numbers. Calculations use standard floating-point arithmetic; exact integer and fraction tools identify their own precision rules.
- Uses the floor base-10 exponent convention, not the nearest power of ten. The sign does not affect magnitude. Exact finite-decimal input.
Example Calculation
Example inputs
- Nonzero number: 0.0042
0.0042 is between 10⁻³ and 10⁻², so its magnitude exponent is −3.
Frequently asked questions
How do I use this calculator?
Enter nonzero number. The result updates automatically. Use Reset to restore the example values.
What method does it use?
Find e such that 10^e ≤ |x| < 10^(e+1).. Uses the floor base-10 exponent convention, not the nearest power of ten. The sign does not affect magnitude. Exact finite-decimal input.
Why might a rounded result differ?
The calculation keeps full numeric precision internally, then rounds the displayed result. Rounding intermediate steps by hand can produce a slightly different answer.
Are my inputs saved online?
No. This calculator processes your inputs in your browser. A recently used list stores only calculator names on this device, not your entered values.
Check the assumptions and units before using this result. Read about calculation methods.