【Worth】 , 【value】 are close synonyms in more than one of their senses, often differentiated by demands of idiom rather than differences of meaning or connotation.
Both 【worth】 and 【value】 denote the equivalent in money or sometimes in goods or services given or asked in exchange for another thing; thus, the 【value】 or 【worth】 of these coins to collectors is much greater than their monetary 【worth】 or 【value】 .
When, however, 【worth】 and 【value】 mean the quality of being useful, important, excellent in its kind, or highly desirable or meritorious, they do not always come so closely together. In such use 【worth】 more often than 【value】 applies to what is excellent intrinsically (as by being superior morally, spiritually, intellectually, or aesthetically).
【Value】 , on the other hand, applies more frequently than 【worth】 to the qualities (as excellence, usefulness, or importance) imputed to a person or thing or to the degree in which that person or thing is regarded as excellent, useful, or important especially in its relation to other things.
Further, 【value】 may be applied, as 【worth】 is not, to something (as a principle, a quality, a condition, or a substance) which is regarded as important, useful, desirable, or of 【value】 , sometimes in its relation to other things, sometimes in the degree which seems proper or fitting to it, and sometimes absolutely.
