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BY C. TRACY, A.M.,
PRINCIPAL OF CLASSICAL INSTITUTE, NEW YORK.

PHILADELPHIA :

PUBLISHED BY LIPPINCOTT, GRAMBO, & CO.,

(SUCCESSORS TO GRIGG, ELLIOT & Co.,)
No. 14, NORTH FOURTH STREET.

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Entered, according to Act of Congress, in the year 1850,

By CALVIN TRACY, A.M., In the District Court of the United States, for the Southern District

of New York.

Printed by T. K. & P. G. Collins.

STEREOTYPED BY BILLIN & BRO's,

10 N. WILLIAM-ST.

• INTRODUCTION.

In the preparation of the following treatise, a special object in view has been, to present a work containing pri. mary exercises sufficient for the scholar in his first efforts upon the slate.

There is no good reason why the learner should not acquire the same facility, promptness, and accuracy, in combining figures, that he does in reading his native language; the result in each case being attained by similar instrumentalities.

If however we compare the means, employed for securing each result, we shall not be surprised that what is to so great an extent secured in the one case, often proves a failure in the other. The child's first object, in his educational course, is to learn to read, and his efforts for the attainment of this result are not discontinued during his entire course of study. But how is it with regard to arithmetic ? Take for illustration the exercise of adding, a department of arithmetical operations probably more used in business, than all other numerical operations together. In a matter of such importance, the child should acquire the utmost facility and accuracy. Why, then, is the attainment so seldom made? We apprehend the difficulty lies in the want of equally extensive exercises in combining numbers. Most arithmetics are very limited in practical work in this important department of numerical operations. To remedy this difficulty, was in part the design with which this primary treatise was commenced.

In enumerating some of the more prominent features introduced, we shall restrict our remarks to the more elementary portions of the work.

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