English

approximation

gb/əpɹˌɑksəmˈeɪʃən/ us/əpɹˌɑksəmˈeɪʃən/
B2 English
Senses
0 senses
Noun B2 abstract
1

Close but inexact estimate

a value or answer that is almost right, but not exact

Usage pattern: an approximation of [a number/amount/value]; an approximation to [something]; a rough/close approximation
Common mistake:
Use approximation of or approximation to, not usually approximation about. Do not use it when you need an exact value.
Synonyms
estimate (more common and general; often about numbers or amounts) | rough estimate (emphasizes that the value is not very precise) | ballpark figure (informal; mainly for approximate numbers, costs, or amounts)
Antonyms
exact value (the precise value rather than a near one) | precise figure (a specific and accurate number)
Collocations
rough approximation |close approximation |good approximation |reasonable approximation |crude approximation |fair approximation |initial approximation |best approximation |accurate approximation |approximation of the cost
Themes
measurement |math |business |planning
Examples
  • The figure of 10,000 is only an approximation, not an official count.
  • Can you give me a rough approximation of the total cost?
  • These measurements are approximations because the equipment is not perfectly accurate.
Learner examples
  • This price is just an approximation.
  • I need an approximation of the distance.
Noun C1 entity
2

Similar but not exact version

something that is like another thing, but not exactly the same

Usage pattern: an approximation of/to [something]; a close/good/poor approximation
Common mistake:
This meaning is about similarity, not necessarily about calculating a number.
Synonyms
imitation (suggests copying and may imply something less authentic) | likeness (emphasizes general or visual similarity) | substitute (something used in place of the real thing) | version (a neutral word for a particular form of something)
Antonyms
original (the real thing rather than a similar replacement) | exact match (something that is completely the same in the relevant way)
Collocations
close approximation |good approximation |fair approximation |poor approximation |rough approximation |loose approximation |visual approximation |reasonable approximation |approximation of reality |approximation to the original
Themes
comparison |art |food |communication
Examples
  • The vegan cheese is a decent approximation of the real thing.
  • The movie offers only a loose approximation of the novel's complex plot.
  • Her accent was a close approximation to British English, but not perfect.
Learner examples
  • The drawing is an approximation of the building.
  • This sauce is a good approximation of the original.
Noun technical C1 abstract
3

Simplified mathematical substitute

in math or science, a simpler answer or model used because the exact one is difficult or unnecessary

Usage pattern: [adjective] approximation; approximation to/of [a function/model]; approximation method
Common mistake:
In technical writing, an approximation is often a deliberate method, not a careless guess.
Synonyms
simplification (emphasizes making a problem or model less complex) | model (a representation used to explain or predict something) | estimate (less technical and usually focused on a value)
Antonyms
exact solution (a complete solution with no approximation) | exact calculation (a calculation that gives the precise result) | closed-form solution (technical; an exact expression using standard mathematical operations)
Collocations
linear approximation |numerical approximation |polynomial approximation |asymptotic approximation |Gaussian approximation |small-angle approximation |approximation method |approximation algorithm |approximation error |approximation theorem
Themes
mathematics |science |computing |engineering
Examples
  • The model uses a linear approximation to predict demand over a small range.
  • Numerical approximations are often the only practical way to solve the equation.
  • The small-angle approximation works well when the angle is very small.
Learner examples
  • We used an approximation because the exact answer was too hard.
  • The approximation was close to the true value.
Grammar
Dictionary form
approximation
IPA
GB/əpɹˌɑksəmˈeɪʃən/
US/əpɹˌɑksəmˈeɪʃən/
Syllables & stress
ap - prox - im - a - tion (5 syllables)
Stress on 4th syllable (a)
Word forms
Noun
  • Base: approximation
  • Plural: approximation, approximations
Expressions

successive approximations

1
/səksˈɛsɪv əpɹˌɑksəmˈeɪʃənz/
fixed phrase technical

Repeatedly improved estimates

a series of tries, with each one getting closer to the right answer or result

Examples
  • The software solves the equation by successive approximations.
  • Children often learn complex skills through successive approximations.
  • The method of successive approximations produced a stable estimate after ten iterations.

to a first approximation

1
/tə ə fˈɚst əpɹˌɑksəmˈeɪʃən/
fixed phrase technical

Rough initial simplification

roughly speaking, if we ignore the details

Examples
  • To a first approximation, the two systems behave the same way.
  • To a first approximation, income rose at the same rate as prices.
  • To a first approximation, the shape can be treated as a sphere.

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