This textbook is an eighth-grade course in arithmetic. This book completes the ordinary grammar school course in arithmetic, and covers all the work not included in the preceding books of this series. It is suggested, however, that, in places where there are nine grades, some topics should be omitted from the eighth grade and presented in the ninth. The number and variety of problems in each new subject furnish sufficient practice for the complete mastery of that subject. The same system of frequent reviews pursued in the lower books has been followed in this, with many examples in fractions and percentage, in order that the pupils may acquire facility and accuracy in ordinary business computations. The aim has been to furnish material sufficient to meet the demands of any school. The work in algebra has been continued to include a knowledge of the fundamental principles and of the equation. The constructive and inventional work in geometry is continued, and a little demonstrative work introduced.