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NEW TWO-BOOK SERIES.

.....

Pages.
...360 Pages.

FIRST BOOK OF ARITHMETIC (three-year course). ..168
NEW COMPLETE ARITHMETIC..

OR-

NEW ELEMENTARY ARITHMETIC (four-year course)......268 Pages.
NEW COMPLETE ARITHMETIC...

.360 Pages.

ORAL LESSONS IN NUMBER (for Teachers)............192 Pages.
(First lessons in number-from first to third school year.
KEY TO NEW COMPLETE ARITHMETIC.............

Price, by mail, 60 Cents.)
....132 Pages.

N. B.-The first book in White's Two-Book Series may be used by pupils as
early as the third school year. Part One is specially adapted to pupils of this grade,
and the use of the book will not only increase the interest of the pupils and
promote their progress, but it will save their eyes from the injurious strain in-
cident to the copying of so many written exercises from the black board-an
important consideration. The study of Part Two should not be begun before
the fourth school year.

HARYARD COLLEGE LIBRARY

GIFT OF THE

GRADUATE SCHOOL OF EDUCATION

Copyright, 1890,

by

VAN ANTWERP, BRAGG, AND COMPANY.

PREFACE.

THIS book presents the elements of arithmetic in a progressive three-year course. It is designed for pupils who have received some oral training in number, and have thus been prepared to use a book with advantage. The introductory oral course is fully presented in the author's Oral Lessons in Number.

Part One presents a progressive series of exercises in elementary processes with small numbers. It aims to secure accuracy and skill, and, to this end, it combines in a natural manner the inverse processes of addition and subtraction, and of multiplication and division. These progressive elementary lessons may easily be mastered by third-year pupils.

Part Two is devoted to the elementary processes with larger integral numbers, and the written processes are more fully developed. The special aim is to secure accuracy and rapidity in fundamental processes. Great pains have been taken to adapt the exercises and problems to the capability of fourth-year pupils. But few definitions and principles are presented, and these, when practicable, are reached inductively.

Part Three presents the more elementary processes with fructional numbers, common and decimal, and their more easy and practical applications. Fractions with small terms are used, and these are treated in both oral and written exercises in a similar manner. The use of the greatest common divisor and the least common multiple, and other like formal methods, is avoided. A full and scientific treatment of fractions is reserved for the author's second book-the New Complete Arithmetic.

The entire book is carefully adapted to the capability of the pupils in the several grades for whom it is designed, and the fact is kept in mind that many of these pupils will not continue in school after the fifth school year.

CINCINNATI, O., May 14, 1890.

(iii)

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1. How many words has Helen written on her slate? If she erase 2 words, how many words will be left?

2. Helen has written 5 words on her slate: if she write 3 more, how many words will then be on her slate?

3. How many words are 4 words and 4 words? 4 words and 5 words? 4 words and 6 words?

4. Ward has 9 marbles; if he give his brother 4 marbles, how many will he have left?

5. How many marbles are 5 marbles and 4 marbles? 5 marbles and 5 marbles? 5 marbles and 3 marbles? 6. How many pencils are 6 pencils and 3 pencils? 6 pencils and 4 pencils? 6 pencils and 2 pencils?

(5)

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