Upper Lower Bound Calculator

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Upper and Lower Bound Calculator

Find the possible range of values for a rounded number.

Last updated: June 2026 | By Patchworkr Team

Calculation steps
Divide the accuracy by 2 to find the maximum error.
Subtract and add that amount from the rounded value.
Read the lower and upper bounds.
Bounds
45 to 55
45 ≤ x < 55

What Are Upper And Lower Bounds?

Bounds show the range in which the original value may lie after rounding.

How To Find Bounds

  1. Split the accuracy by 2.
  2. Subtract that amount from the rounded value.
  3. Add that amount to the rounded value.

Frequently Asked Questions

Does accuracy have to be positive?

Yes. The calculator requires a positive accuracy value.

Is the upper bound inclusive?

In this convention the upper bound is exclusive: lower ≤ x < upper.

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