Quick guide
How to use this calculator
- Enter a nonzero finite decimal.
- Read its normalized scientific form.
- The exponent is the order of magnitude used here.
Calculation method
Normalize the leading digit
The decimal marker is positioned so the mantissa magnitude is at least 1 and below 10. The number of positions moved is the exponent.
Worked example
A small decimal
Moving the decimal point three places right turns 0.00452 into 4.52, so the compensating power is −3.
0.00452 = 4.52 × 10⁻³
Supported inputs
Precision and limits
Exact decimal input
Finite decimals use integer-scaled arithmetic, with no binary floating-point conversion.
Input boundary
Unless stated otherwise, use at most 200 digits total and 100 digits after the decimal marker.
Zero
Zero has no unique normalized base-ten exponent, so it returns an undefined state.