"by approximation" vs "using approximation"

Question

"by approximation" vs "using approximation"

Both "by approximation" and "using approximation" are correct phrases, but they are used in slightly different contexts. "By approximation" is commonly used to indicate an estimation or rough calculation, while "using approximation" is more specific and implies the actual process of employing approximations in a calculation or analysis.

Last Updated: March 15, 2024

This phrase is used to convey that something is being done approximately or as an estimate, without exact precision.

Examples:

The final answer was obtained by approximation.
We can determine the value by approximation.

Alternatives:

roughly
approximately
estimating
ballpark figure
in the vicinity of

This phrase is used when describing the method of utilizing approximations in a specific calculation or analysis.

Examples:

The complex integral was solved using approximation techniques.
The model was built using approximation methods.

Alternatives:

employing approximations
utilizing approximations
applying approximations
making use of approximations
using rough estimates

Answer 1

by approximation

This phrase is correct and commonly used in English to indicate an estimation or rough calculation.

Answer 2

using approximation

This phrase is correct and is used to indicate the process of employing approximations in a calculation or analysis.

"by approximation" vs "using approximation"

by approximation

using approximation

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