Question

Is one tenth of a foot a common unit of measurement?

Answer 1

Hint: In order to solve this problem, we need to know about the various systems of units and measurements. We have to find out that foot is the unit under which system of units, which is the FPS system. Then, we check the list of all the units of length of the FPS system and find out if there is a mention of one tenth of a foot or not.

Complete step by step answer:
We know that a unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity. We can express any other quantity of that kind as a multiple of the unit of measurement. For example, length is a physical quantity. The metre is a unit of length that represents a definite predetermined length.
Now, in a system of units, for example the SI system, we link various units together by generally a multiplying factor. For example, one centimetre is one hundredth of a metre and so on. In the FPS system, the common unit is a foot. An inch is one twelfth of a foot. In the list of all the units of length of the FPS system, we can nowhere find the mention of any unit which is one tenth of a foot.
Thus, we can conclude that one tenth of a foot is not a common unit of measurement.

Note: In the various systems of units, we must be careful about the various multiplication factors. For example, the common multiplying factors in the SI system are the multiples of $10$ and in the FPS system, they are the multiples of $3$ . We also should remember that an inch is one twelfth of a foot and not one tenth.