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Practical Arithmetic: Embracing the Science and Applications of Numbers (Classic Reprint) - Couverture souple

Charles Davies

 
9781333514112: Practical Arithmetic: Embracing the Science and Applications of Numbers (Classic Reprint)

Synopsis

Excerpt from Practical Arithmetic: Embracing the Science and Applications of Numbers

Great pains have been taken to make the work practical In its general character, by explaining and illustrating the various applications of Arithmetic in the transactions of business, and by connecting, as closely as possible, every principle or rule, with all the applications which belong to it.

I have great pleasure in acknowledging my obligations to many teachers who have favored me with valuable suggestions in regard to definitions, rules, and methods of illustration. Their generous appreciation of my labors has been both an encourage ment and a reward.

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Présentation de l'éditeur

It is the foundation of the exact and mixed sciences, and the first subject, in a well-arranged course of instruction, to which the reasoning powers of the mind are directed. Because of its great uses and applications, it has become the guide and daily companion of the mechanic and man of business. In the present work, a few general principles are laid down, to which all the operations in numbers may be referred :1st. The unit 1is regarded as the base of every number, and the consideration of it is the first step in the analysis of every question relating to numbers. 2d. Every number is treated as a collection of units, or as made up of sets of such collections; each collection having its own base, which is either 1, or some number derived from 1. 3d. The number expressing the relation between two different units of a number, is called the SCALE ;and the employment of this term enables us to generalize the laws which regulate the formation of numbers. 4th. By employing the term fractional unit the same principles are made applicable to fractional numbers; for all fractions are but collections of fractional units, these units having a known relation to 1. 5th. The presentation of the fractional units to the minds of young pupils, by means of a diagram, as exhibited in the Primary and Intellectual A rithmetics, has greatly simplified the operations in fractions; and they may now be placed before Denominate Numbers, where, in a purely scientific arrangement, they properly belong.
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