infinitesimal

/ˌɪnfɪnɪˈtesɪməl/ · in-fin-ih-TES-ih-muhladjective

Extremely small; approaching zero in size or amount.

Use infinitesimal for a quantity or difference so tiny that it is almost negligible, especially in scientific or mathematical contexts.

What infinitesimal Really Means

The word becomes easier to use when its closely related senses are separated and compared.

1

Nearly immeasurable quantity

An amount too small to matter at an ordinary scale.

Example

The treatment produced only an infinitesimal change in average temperature.

2

Mathematical increment

A value considered arbitrarily close to zero.

Example

The proof examines an infinitesimal change in the curve's position.

3

Tiny practical effect

A difference whose real-world impact is negligible.

Example

For most users, the two designs differ by an infinitesimal amount.

Use infinitesimal Naturally

Notice how the surrounding noun or clause reveals the exact shade of meaning.

The treatment produced only an infinitesimal change in average temperature.

An infinitesimal crack can expand under repeated pressure.

The probability of that exact sequence is infinitesimal.

Precision Matters

Infinitesimal overlaps with several common words, but each carries a different emphasis.

infinitesimal

Often suggests a quantity approaching zero.

vs.
minute

Means extremely small but not necessarily negligible.

infinitesimal

Describes actual size or amount.

vs.
imperceptible

Describes inability to be perceived.

infinitesimal

Concerns magnitude.

vs.
trivial

Concerns importance or consequence.

infinitesimal

Is vanishingly small.

vs.
substantial

Is considerable in size or importance—the contrast.

Test infinitesimal in Context

The difference is extremely small and effectively negligible.

1

Although the instrument detected a difference between the samples, the change was so ___ that it could not affect the study's practical conclusion.

Prepared byFirst Academy
Editorial responsibilityFirst Academy Academic Team
Updated2 August 2026
Selection and reviewRead our methodology