Order of magnitude calculator
Estimate the order of magnitude as the nearest power of ten (or floor log₁₀).
Loading tool…
Recommended next step
Related math tools
After using Order of magnitude calculator, continue with 2×2 matrix determinant & inverse.
Continue this path
Tools selected to complete the same task.
Tool guide
Order of magnitude calculator: how it works
Practical information to understand the result and use this tool correctly.
About Order of magnitude calculator
Order of magnitude answers which power of ten best represents a positive quantity.
log₁₀(x), floor(log₁₀), and the nearest integer power are all shown.
Used in physics estimates, astronomy, and quick scale comparisons.
How to use it
- 1Enter a positive number.
- 2Read log₁₀ and the power-of-ten cards.
- 3Compare floor vs nearest for your estimate style.
Frequently asked questions
- Why not zero or negative?
- Real log₁₀ is only defined for positive reals.
- Floor vs nearest?
- Floor matches scientific-notation exponent; nearest rounds the log.