1. It may not be generally known how much more rapidly such operations as multiplying or dividing by π, or reducing metres to yards, etc. can be effected by the methods of “Practice” than by direct multiplication and division.

2. For example, the commonly used approximation for the value of π, though an excellent first approximation, is only true to three significant figures; but (i) is true to five significant figures, and thus yields a second approximation by a correction of the first. The value (ii) which is slightly higher, may be used as a useful check.