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Order of Magnitude Calculator.

Find the base-10 order of magnitude of a non-zero value.

On-device calculationNo signup
01

Set your values

Results update as you type.

order: 2

order

0.000000
powerOfTen: 100

powerOfTen

0.000000

Results update automatically as you type.

Use Cases

Scientific Notation and Estimation

Quickly determine the scale of a number for scientific notation or to compare sizes across different magnitudes.

Example: Enter 4500 to see it's on the order of 10^3.

Understanding Data Scales

Use the order of magnitude to grasp the relative size of large or small quantities, such as population, distances, or file sizes.

Example: Enter 0.0008 to see it's on the order of 10^-4.

Frequently Asked Questions

What is the order of magnitude of a number?
The order of magnitude is the power of 10 closest to the number. For example, 500 has an order of magnitude of 10^2 (or 2), because 500 is between 10^2 (100) and 10^3 (1000).
How do I use this calculator?
Simply enter any positive or negative number in the 'Value' field. The calculator will compute the base-10 order of magnitude and display the result as a power of 10.
What if I enter a number less than 1?
For numbers less than 1, the order of magnitude is negative. For example, 0.05 has an order of magnitude of 10^-2 (or -2), because it is between 10^-2 (0.01) and 10^-1 (0.1).

Tips & Common Mistakes

Tips

  • Enter the value exactly as you have it; the calculator handles both positive and negative numbers.
  • For very large or very small numbers, consider using scientific notation (e.g., 1.5e6) if supported.
  • Use the result to quickly compare the scale of different numbers without doing complex math.
  • Remember that the order of magnitude is based on the logarithm base 10, so each step represents a tenfold increase or decrease.

Common Mistakes to Avoid

  • Confusing the order of magnitude with the number itself; for 500, the order is 2, not 500.
  • Forgetting that numbers between 1 and 10 have an order of magnitude of 0 (since 10^0 = 1).
  • Assuming the order of magnitude is always the exponent in scientific notation; it's actually the rounded logarithm, so 500 gives 2, not 3.

Last updated: August 13, 2026