How it works
Convert a number to normalized scientific notation and back.
Enter a number to convert it to coefficient × 10^exponent form, or enter a coefficient and exponent to recover the full number.
Formula
x = a × 10^b, with 1 ≤ |a| < 10 (normalized). b = floor(log10(|x|)).
x- The number
a- Coefficient (mantissa)
b- Exponent (order of magnitude)
Examples
- 12,345 in scientific notationNumber 123451.2345 × 10^4
Frequently asked questions
What is normalized scientific notation?
The coefficient is kept between 1 and 10 (in absolute value), so each number has a unique representation.
How is zero handled?
Zero is represented as 0 × 10^0 (coefficient 0, exponent 0).
How to read the result
The exponent indicates the order of magnitude: positive for large numbers, negative for small ones.
Limitations
Numbers with magnitude up to about 10^300 (field limits).
Source: Standard scientific (exponential) notation convention.