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ARITHMETIC

PART SECOND

FOR SIXTH, SEVENTH, AND EIGHTH GRADES

BY

GEORGE E. ATWOOD

BOSTON, U.S.A.:

D. C. HEATH & CO., PUBLISHERS.

1899.

615064
C

Entered according to Act of Congress, in the year 1893, by

GEORGE E. ATWOOD,

in the Office of the Librarian of Congress, at Washington, D.C.

C. J. PETERS & SON,
TYPE-SETTERS AND ELECTROTYPERS,
BOSTON, U S.A.

PREFACE.

THIS book continues the course in arithmetic begun in Part First, and contains the work for the Sixth, Seventh, and Eighth Grades. The course of study and contents show the kind and amount of work in each grade. Beginning with the Seventh Grade, the plan is slightly different from that of the preceding grades. The lessons are generally limited to one subject, although there are rarely two problems in succession involving the same principle or requiring the same solution. No effort or labor has been spared to make the work as thorough and comprehensive as that of Part First. The number and variety of problems in each subject furnish sufficient practice for the complete mastery of that subject. The work of teaching the business forms of arithmetic is not left to accident or the thoughtfulness of teachers. Pupils have frequent practice in making bills, writing receipts, all kinds of promissory notes, drafts, and indorsements, until they become perfectly familiar with all these forms. Special attention is called to the oral exercises in percentage following the work of Seventh Grade, First Term; also the exercises in simple interest following the work of Seventh Grade, Second Term. A little daily practice on this

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work will result in increasing power, and will train pupils not always to resort to paper and pencil in the solution of questions in arithmetic.

The work is submitted to teachers with the hope that it may lighten their labors in this department and thus supply a long-felt need.

TARRYTOWN, N.Y.,

August, 1893.

GEORGE E. ATWOOD.

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The sum of two numbers and the fraction or number of times that
one is of the other given, to find the numbers.

SIXTH GRADE-SECOND TERM.

PREVIOUS WORK CONTINUED.

Reduction ascending.

Reduction descending.

Find the fractional part that one denominate number is of another.
Reduction of denominate fractions, common or decimal, to integers,
decimals, or common fractions of lower denominations.

Reduction of integers, decimals, or common fractions to decimals
or common fractions of higher denominations.

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