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THE

PROGRESSIVE ARITHMETIC

PART II

BOSTON

BY

WILBUR F. NICHOLS, M. A.

SUPERVISING PRINCIPAL OF EATON DISTRICT, NEW HAVEN, Conn.,
AUTHOR OF
"" GRADED LESSONS IN ARITHMETIC," "ARITHMETICal Problems,"
"TOPICS IN GEOGRAPHY."

THOMPSON, BROWN & CO.,
NEW YORK

CHICAGO.

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PREFACE.

THIS is the second of a series of three books.

The topics presented in the first book are reviewed and extended to problems of greater difficulty. This increase in difficulty, however, is gradual, as each problem has been carefully selected with reference to what has preceded, and to what is to follow.

The elementary principles of common fractions, decimal fractions, and percentage are developed and illustrated in this book, but the more difficult phases of those subjects are reserved for the next book.

The simpler geometric forms are introduced and so illustrated that clear conceptions are formed, and the principles thus developed are then applied in many practical problems.

The classification and plan of presentation is the same as that of Part I, including statements which require original and independent thinking on the part of the pupils, and including also the miscellaneous lessons which give constant review and are far more beneficial to the pupils than examples all classified and labeled.

While this book contains much new matter, the author has drawn largely from his "Graded Lessons in Arithmetic," a series which has been so favorably received, consisting of a separate book for each school year.

The author wishes here to express his indebtedness to the many teachers, supervisors, and superintendents, who have tested the problems, criticised the work, and given many helpful suggestions.

NEW HAVEN, March 1, 1903.

iii

W. F. NICHOLS.

TABLE OF CONTENTS.

Circle, 154, 155, 156, 157.

Circumference, 154.

Common Fractions changed to Deci-
mals, 214.

Cone, Surface of, 248.

Cord, 165.

Cost of Articles at 331, 20, each, 86.

Cubic Measure, 166.

Cubic Contents, 175.

Cylinder, Surface of, 247.
Decimal Fractions, 73, 74, 76, 77, 78,
79, 80, 81, 82, 83, 115, 116, 148,
214, 256.

Decimal Fractions changed to Com-

mon Fractions, 148.

Denominate Numbers, 58, 67, 112, 124,
133, 165, 166, 235, 236, 262.
Denominate Numbers, Addition of,
235.

Denominator, 49.

Diameter, 154, 155.

Fractions, Changed from Decimals,

148.

Fractions, Changed to Decimals, 214.

Fractions, Division of, 145, 146, 199.

Fractions, Multiplication of, 52, 53,

54, 55, 68, 196, 197.

Fractions, Review of, 68, 141, 149, .
200, 238, 257.

Fractions, Subtraction of, 24, 50, 51,
54, 68.

Gross, 133.

House, Surface of, 184.

Measurements, 43, 44, 56, 128, 138,
209, 241, 242, 254, 259, 263.
Miscellaneous Problems, 1, 10, 11, 17,

46, 47, 59, 70, 71, 85, 91, 92, 109,

110, 113, 118, 119, 121, 122, 127,

130, 131, 134, 136, 139, 140, 142,

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