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D. H. CRUTTENDEN'S MATHEMATICAL SERIES.

No. III.

THE

THEORETICAL AND PRACTICAL

SYSTEMATIC ARITHMETIC;

OR,

ARITHMETIC ARRANGED IN ITS NATURAL ORDER.

BEING ADAPTED TO ASSIST THE TEACHER IN TRAINING
PUPILS OF ALL AGES TO HABITS OF STRICT

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Entered, according to Act of Congress, in the year 1853,

By D. H. CRUTTENDEN,

in the Clerk's Office of the District Court of the United States, in and for the Southern District of New York.

CAJORI

STEREOTYPED BY C. C. SAVAGE,

13 Chambers Street, N. Y.

PREFACE.

A SKILFUL workman prefers good tools.

Those, who are in the habit of teaching Arithmetic by subjects, or by short, familiar lectures, accompanied with lemonstrations on the blackboard, often feel the need of a text-book suitably arranged for this purpose, and furnished with fitting examples. The author of this work, being engaged in teaching, and experiencing this difficulty, commenced an investigation of the subject, with a view to its remedy. To the result of his labors he respectfully asks the attention of all those interested in the cause of general education, believing that the system, which he offers for their consideration, is better adapted to the manner of teaching above-mentioned, than any system yet offered to the public, and in other respects equally adapted to general use.

The First objection to the text-books now in use is the strange practice adopted by the earlier, and imitated by the later writers, of combining the parts of different subjects, simply because the principles of the one are employed in demonstrating those of the other. For instance, the Reduction of Compound Numbers to Vulgar or to Decimal Fractions, and vice versa, being found in Decimal Fractions Federal Money, combined with the Simple Rules, or immediately succeeding them, etc., etc. Now, 918266

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