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Definition of approximation : 1. A continual approach or coming nearer to a result; as, to solve an equation by approximation.
2. A value that is nearly but not exactly correct.
3. An approach to a correct estimate, calculation, or conception, or to a given quantity, quality, etc.
4. The act of approximating; a drawing, advancing or being near; approach; also, the result of approximating.

Synonyms:

contiguity, estimate, nearness, idea, precise, approach, melodic theme, similarity, bringing close together, conjecture, resemblance, neighborhood, theme, mind, musical theme, propinquity

estimation, statistics, calculus, gauge, thought, arithmetic, value, consideration, judgement, mathematics, tally, evaluation, account, supposition, presumption, count, rank, calculation, assessment, method, conclusion, schedule, appraisal, program, study, plot, enumeration, system, computation, quantification, score, inference, algorithm, guess, multiplication, sum, deduction, plan, reckoning, valuation, determination, triangulation, division, algebra, scheme, measurement, total

carving, effigy, duplication, likeness, cast, bust, illustration, statue, metaphor, imitation, model, silhouette, drawing, image, copy, facsimile, portrayal, impression, picture, depiction, pastiche, analogy, miniature, photograph, replica, snapshot, representation, cartoon, outline, rendering, figurine, idol

inaccuracy, inexactitude, inexactness, inaccurateness, imprecision

Usage examples:

• Just a young brood, no more than suckling infants- if suckling was the word, or even some kind of wild approximation. - "The World That Couldn't Be", Clifford Donald Simak.
• Complete data for this method are often not available; but in the early years of a field, before production curves are established, this method may serve for a rough approximation. - "The Economic Aspect of Geology", C. K. Leith.
• It has been said, not truly, but with a possible approximation to truth, " That in 1802 every hereditary monarch was insane". - "The English Constitution", Walter Bagehot.