Convenient number


The concept of convenient numbers is related to that of preferred numbers. A structure is defined to build a set of numbers that are convenient for use by humans in counting or measuring.
National Bureau of Standards defined a set of convenient numbers during the 1970s when it was developing procedures for metrication in the United States. The NBS technical note describes that system of convenient metric values as the 1-2-5 series in reverse, with assigned preferences for those numbers which are multiples of 5, 2, and 1, excluding linear dimensions above 100 mm, from which the Schedule of Convenient Numbers Between 10 and 100 below is reproduced.
The NBS technical note also states that "Basically, integers are more convenient than expressions which include decimal parts . Furthermore, where measuring devices are used, values which represent numbered subdivisions on such instruments are more useful than values which have to be interpolated. For example, where a tape or a scale is graduated in intervals of 5, any value that represents a multiple of 5 is more "convenient" to measure or verify than one which is not. In addition, where operations involve the subdivision of quantities into two or more equal parts, any number that is highly divisible has an explicit advantage."

Schedule of convenient numbers between 10 and 100

Notes:
  1. Numbers are shown once only, in the highest applicable preference column..
  2. In some contexts, 25 and 75 may become 2nd preferences rather than 4th preferences.
The Technical Note also states, "In the practical application of a "convenient numbers approach" to the selection of suitable metric values, it is desirable to start with the highest possible preference and then to gradually refine the difference until an acceptable and convenient metric value has been found."