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PRIMARY ARITHMETIC.

BY

G. P. QUACKENBOS, A. M.,

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AUTHOR OF

AN ENGLISH GRAMMAR; "FIRST LESSONS IN COMPOSITION; 99 66 ADVANCED
COURSE OF COMPOSITION AND RHETORIC; "A NATURAL PHILOSO-
"ILLUSTRATED SCHOOL HISTORY OF THE UNITED
STATES; "PRIMARY HISTORY OF THE UNITED

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D. APPLETON AND COMPANY,

443 & 445 BROADWAY.

1864.

1

PREFACE.
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This little book, the first of our Series of Arithmetics, presupposes no knowledge of numbers whatever. It tries to give a correct idea of their value, both absolute and relative, by treating them concretely as well as abstractly from the very outset, pictorial illustrations being freely used for that purpose. We have not sought in its pages to go far, but to go thoroughly. It is therefore confined to the four fundamental operations, a very brief view of fractions, the most important tables of moneys, weights, and measures, and easy exercises under them. These subjects, it is believed, are so treated, as to make the young pupil think for himself, and to lay the right kind of foundation for a mathematical course. One thing is taught at a time, and great care has been taken to present every thing in its proper place. It will be observed that throughout the book slate exercises go hand in hand with mental operations. In the author's opinion, they are indispensable, from the first, for inspiring the beginner with that interest in the subject which is essential to success.

This book imposes no labor on the teacher, in the way of explaining orally, setting sums, &c. It is thought to contain in itself all that is needed. The author would only ask those who use it to be sure that every lesson is thoroughly mastered, before proceeding to the next. Each principle presented, each table, should be perfectly understood and memorized before leaving it, even though .it be necessary to repeat the lesson again and again. Time saved by allowing a single lesson to pass unmastered, will be a tenfold loss in the end.

Entered, according to Act of Congress, in the year 1863, by
D. APPLETON & CO.,

In the Clerk's Office of the District Court of the United States for the

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FIVE.

Touch the fingers and thumb of your left hand. How many do they make?

When we say ONE, TWO, TIIREE, FOUR, FIVE, what do we do?

two.

Answer. We count.

Count five; count four; count three; count

What are one, two, three, four, five, called?
Answer. Numbers.

Which is the smallest of these numbers?

Which is the greatest of these numbers?

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