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Floating point arithmetic

A finite-precision representation and calculation system for approximating real-number values.

The plain-English version

A finite-precision representation and calculation system for approximating real-number values.

Why it matters

Rounding and representable range affect comparison and accumulated error.

Let’s make it click

A financial or scientific calculation uses an appropriate representation and an explicit comparison tolerance.

Vibe Bro’s heads-up

Many decimal fractions are not represented exactly in binary floating point; exact equality may be the wrong test for computed results.

The docs behind it

Editorial review · October 28, 2026

Supported: Finite precision/range and non-exact binary representations of many decimal fractions are correctly stated; comparison tolerance must fit the calculation.

Read the content review record.

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