A Practical Arithmetic for Elementary Schools (Classic Reprint)

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Publisher : Forgotten Books
ISBN 13 : 9780484737142
Total Pages : 152 pages
Book Rating : 4.7/5 (371 download)

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Book Synopsis A Practical Arithmetic for Elementary Schools (Classic Reprint) by : James Currie

Download or read book A Practical Arithmetic for Elementary Schools (Classic Reprint) written by James Currie and published by Forgotten Books. This book was released on 2018-02-11 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from A Practical Arithmetic for Elementary Schools This treatise of Arithmetic is designed to comprise all that is needed by the pupils of common schools, and by those of higher schools till they have completed their elementary education. It is not one Of theory, since the instruction of pupils of their standing must be, in the main, practical; nor, on the other hand, is it a mere collection of examples, since the only practical instruction worthy of the name is that which sets the processes before them in a rational way. It aims throughout at that just combination of theory with practice which is the greatest merit of an elementary text-book.. The explanations are given concisely, and in the form in which they are likely to be soonest apprehended by the pupil; whilst the exer cises for practice will be found to be very numerous and carefully graduated. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

The Natural Arithmetic

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Publisher : Forgotten Books
ISBN 13 : 9781527947665
Total Pages : 140 pages
Book Rating : 4.9/5 (476 download)

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Book Synopsis The Natural Arithmetic by : Zalmon Richards

Download or read book The Natural Arithmetic written by Zalmon Richards and published by Forgotten Books. This book was released on 2017-09-15 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from The Natural Arithmetic: Specially Prepared for Elementary Schools The Natural Arithmetic has been prepared to meet a demand which has grown out of the experience of live, progressive teachers during the last ten years. Many educators have learned that a large part of the matter in common arithmetics is of no practical use to nine tenths of the children in our elementary schools; and that the fundamental principles involved in the use of numbers are few but that they are enshrouded in many blind and useless rules. At least one half of the time usually spent in studying arithmetic is wasted in memorizing rules and processes, and in unraveling mysteries which yield no profit even when solved. The study of arithmetic is required, not only for its practical value, but also because of its supposed disciplinary advantages. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

The Natural Arithmetic: Specially Prepared for Elementary Schools

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Author :
Publisher : Wentworth Press
ISBN 13 : 9780469530225
Total Pages : 200 pages
Book Rating : 4.5/5 (32 download)

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Book Synopsis The Natural Arithmetic: Specially Prepared for Elementary Schools by : Zalmon Richards

Download or read book The Natural Arithmetic: Specially Prepared for Elementary Schools written by Zalmon Richards and published by Wentworth Press. This book was released on 2019-02-23 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

High School Arithmetic

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Publisher : Forgotten Books
ISBN 13 : 9780265366691
Total Pages : 516 pages
Book Rating : 4.3/5 (666 download)

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Book Synopsis High School Arithmetic by : G. A. Wentworth

Download or read book High School Arithmetic written by G. A. Wentworth and published by Forgotten Books. This book was released on 2017-10-15 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from High School Arithmetic: Wentworth and Hill's Practical Arithmetic It is hoped that young teachers will derive great advantage from studying the systematic arrangement of the arithmetical work, for such attention has been paid to this as the limitation of the page would allow. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Elementary Arithmetic

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Publisher : Forgotten Books
ISBN 13 : 9780656119004
Total Pages : 324 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis Elementary Arithmetic by : Samuel Hamilton

Download or read book Elementary Arithmetic written by Samuel Hamilton and published by Forgotten Books. This book was released on 2018-02-08 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Elementary Arithmetic: For Graded and Ungraded Schools The Elementary Arithmetic is intended to cover the w'ork of the first five years. It is divided into four parts. Part One includes the work ordinarily done during the first and second years. Part Two includes the work of the third year. It is devoted mainly to the presentation of the elementary facts and tables of arithmetic. The text-book should be placed in the hands of the pupil when he enters upon the work found in Part Two. Part Three covers the work of the fourth year. Its pur pose is to give a mastery of the fundamental operations, and, through the study of problems, to develop the ability to use these operations in a practical way. Part Four includes the work 'of the fifth year. It gives an elementary treatment of Fractions, Decimals, Percentage, Interest, Denominate Numbers, and Practical Measurements. The aim of this course is twofold: first, to give the child mathematical skill; second, to give him mathematical power. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

A Practical Arithmetic, Designed for Grammar Schools (Classic Reprint)

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Publisher : Forgotten Books
ISBN 13 : 9780483666641
Total Pages : 328 pages
Book Rating : 4.6/5 (666 download)

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Book Synopsis A Practical Arithmetic, Designed for Grammar Schools (Classic Reprint) by : Geo E. Seymour

Download or read book A Practical Arithmetic, Designed for Grammar Schools (Classic Reprint) written by Geo E. Seymour and published by Forgotten Books. This book was released on 2018-01-22 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from A Practical Arithmetic, Designed for Grammar Schools Entered according to Act of Congress, in the year 1880, by george E. Seymour, In the Othee of the Librarian of Congress. At Washington. The Elementary Arithmetic and the Practical Arithmetic are de signed to embrace all those subjects usually found in the more voluminous series of Arithmetics now in very general use. By a methodical arrangement of topics, all unnecessary repetition has been avoided; and by giving prominence to those subjects alone which are the key to the science of Arithmetic, brevity has been secured without sacrificing either fulness or clearness of treatment. No attempt has been made to make the book either a complete dictionary of mathematical terms or a mere encyclopaedia of useful mathematical knowledge. Arithmetic should be regarded in the school-room both as a science and as an art: as a science, so far as it deals with the principles which underlie its processes and its rules; and as an art, so far as it exemplifies these rules and these processes in their varied applications in solving problems that arise in the business of every-day life. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

High School Arithmetic (Classic Reprint)

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Publisher : Forgotten Books
ISBN 13 : 9781528350211
Total Pages : 386 pages
Book Rating : 4.3/5 (52 download)

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Book Synopsis High School Arithmetic (Classic Reprint) by : James B. Dodd

Download or read book High School Arithmetic (Classic Reprint) written by James B. Dodd and published by Forgotten Books. This book was released on 2017-09-12 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from High School Arithmetic The greater portion of the following work, under the title of Elementary and Practical Arithmetic, was published about two years ago, and has met with the most gratifying reception from eminent Teachers wherever it has become known. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

A Practical Arithmetic (Classic Reprint)

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Publisher : Forgotten Books
ISBN 13 : 9781334615672
Total Pages : 348 pages
Book Rating : 4.6/5 (156 download)

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Book Synopsis A Practical Arithmetic (Classic Reprint) by : George Payn Quackenbos

Download or read book A Practical Arithmetic (Classic Reprint) written by George Payn Quackenbos and published by Forgotten Books. This book was released on 2016-12-13 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from A Practical Arithmetic A Practical Arithmetic should deserve its name, and we have kept this in view throughout. We have asked, What appli cations of Arithmetic is the pupil likely to need in life? What are the shortest methods, and those actually used by business men? The branches of Mercantile Arithmetic have received special attention, - the making out of bills, the casting of interest, partial payments, operations in profit and loss, averaging accounts, equation of payments, due. Much collateral information on busi ness subjects has been embodied. In a word, the author has weighed every line, with the view of giving what would be most useful and best prepare the learner for the duties of the counting room. The great distinguishing feature of this book is that it is adapted to the present state of things. The last five years have been five years of financial changes; specie payments have been suspended, prices have doubled, the tariff has been altered, a national tax Rivied, &c. N o Arithmetic that ignores these changes should be placed in the hands of our youth. Time is too precious to be wasted in learning things wrong, only to unlearn them on enter ing into active life. Our examples are adapted to the present: the prices given are those of to-day; the difference between gold and currency is recognized and taught; the rates of duties agree with the present tariff; the mode of computing the national ih come taxis explained; a full description is given of the different classes of United States securities, with examples to show the comparative results of investments in them. These are matters that children, as well as adults, ought to know and understand. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

The New Elementary Arithmetic (Classic Reprint)

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Publisher : Forgotten Books
ISBN 13 : 9780266390084
Total Pages : 324 pages
Book Rating : 4.3/5 (9 download)

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Book Synopsis The New Elementary Arithmetic (Classic Reprint) by : John Williston Cook

Download or read book The New Elementary Arithmetic (Classic Reprint) written by John Williston Cook and published by Forgotten Books. This book was released on 2017-10-16 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from The New Elementary Arithmetic The elementary arithmetic is the result of the ex perience of a supervisor of primary schools in a leading American city. Finding it quite impossible to secure satisfactory results by the use of such elementary arith metics as were available, she began the experiment of supplying supplementary material. An effort was made to prepare problems that should be in the highest degree practical, that should develop the subject systematically, and that should appeal constantly to the child's ability to think. The accumulations of several years have been care fully re-examined, re-arranged, and supplemented, and are now presented to the public for its candid consideration. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

An Elementary Arithmetic, Oral and Written

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Publisher :
ISBN 13 :
Total Pages : 266 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis An Elementary Arithmetic, Oral and Written by : Frank H. Hall

Download or read book An Elementary Arithmetic, Oral and Written written by Frank H. Hall and published by . This book was released on 1899 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Arithmetic for High Schools

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Publisher : Forgotten Books
ISBN 13 : 9781528363334
Total Pages : 362 pages
Book Rating : 4.3/5 (633 download)

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Book Synopsis Arithmetic for High Schools by : James B. Dodd

Download or read book Arithmetic for High Schools written by James B. Dodd and published by Forgotten Books. This book was released on 2017-09-16 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Arithmetic for High Schools: Containing the Elementary and the Higher Principles and Applications of the Science; A New and Improved Edition, With an Appendix on Standard Measures and Weights, &C The first ten Chapters of this work, with an Appen dix containing Geometrical Definitions and Practical Mensuration, constitute the author's revised Elemen tary and Practical Arithmetic. With the additional Chapters, the work will be found to contain a very complete arrangement of principles and exercises, adapted alike to elementary and to higher education in this Science. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Intermediate Arithmetic for Graded Schools (Classic Reprint)

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Publisher : Forgotten Books
ISBN 13 : 9780265707562
Total Pages : 276 pages
Book Rating : 4.7/5 (75 download)

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Book Synopsis Intermediate Arithmetic for Graded Schools (Classic Reprint) by : Samuel Hamilton

Download or read book Intermediate Arithmetic for Graded Schools (Classic Reprint) written by Samuel Hamilton and published by Forgotten Books. This book was released on 2017-10-24 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Intermediate Arithmetic for Graded Schools This Intermediate Arithmetic is intended for fifth and sixth years. It is divided into two parts. Part One includes the work of the fifth year. It gives an elementary treatment of Fractions, Decimals, Percentage, Denominate Numbers, and Practical Measurements. Part Two includes the work of the sixth year. It gives a complete treatment of Fractions, Decimals, Denominate Numbers, and an elementary course in Percentage, Practical Measurements, and business forms. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Elementary Arithmetic (Classic Reprint)

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Publisher : Forgotten Books
ISBN 13 : 9780331660432
Total Pages : 254 pages
Book Rating : 4.6/5 (64 download)

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Book Synopsis Elementary Arithmetic (Classic Reprint) by : Charles E. Chadsey

Download or read book Elementary Arithmetic (Classic Reprint) written by Charles E. Chadsey and published by Forgotten Books. This book was released on 2017-11-22 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Elementary Arithmetic The very general slighting of systematic table work in the schools of this country has proved a sad mistake. The combinations of simple numbers in the elementary processes are presented here in tabular form, and without disguise; and they are to be learned in an orderly way. The elimination of the multiplication tables from some arithmetics, and the half hearted and almost furtive use of them in others, are not easily explained. Teachers complain that much that is called addition in school work is really only counting; that the pupil who is to add together two simple numbers will begin with one of these, and mentally count through the units of the other. This evil is almost universal. But who is to blame for it? The pupil? No. He has been taught to do that very thing. Either he has not been taught the difference between adding and counting in combining two or more numbers, or no substitute for counting has been given him. In this series, addition in arithmetic is defined to be adding without counting; and in all sincerity and good faith the pupil is told that he must learn some combinations before he can add in this way. He is not first taught to add by counting and then reproved for doing what he was taught to do. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Primary Arithmetic

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Publisher : Forgotten Books
ISBN 13 : 9780265508572
Total Pages : 250 pages
Book Rating : 4.5/5 (85 download)

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Book Synopsis Primary Arithmetic by : Samuel Hamilton

Download or read book Primary Arithmetic written by Samuel Hamilton and published by Forgotten Books. This book was released on 2017-10-19 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Primary Arithmetic: For Graded Schools This Primary Arithmetic is intended to cover the work of the first four years. It is divided into three parts. Part One includes the Work ordinarily done during the first and second years. Part Two includes the work of the third year. It is devoted mainly to the presentation of the elementary facts and tables of arithmetic. The text-book should be placed in the hands of the pupil when he enters upon the work found in Part Two. Part Three covers the work of the fourth year. Its pur pose is to give a mastery of the fundamental operations, and, through the study of problems, to develop the ability to use these Operations in a practical way. The aim of this course is twofold: first, to give the child mathematical skill; second, to give him mathematical power. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

American Elementary Arithmetic (Classic Reprint)

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Publisher : Forgotten Books
ISBN 13 : 9780282992910
Total Pages : 210 pages
Book Rating : 4.9/5 (929 download)

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Book Synopsis American Elementary Arithmetic (Classic Reprint) by : Middlesex Alfred Bailey

Download or read book American Elementary Arithmetic (Classic Reprint) written by Middlesex Alfred Bailey and published by Forgotten Books. This book was released on 2017-10-22 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from American Elementary Arithmetic It is now recognized that suitable apparatus 18 as necessary to the teacher of primary arithmetic as to the teacher of the physi cal sciences. The apparatus called for in this book consists of paper, pasteboard, etc., and of toy money, blocks, and splints, which may be prepared by the teacher, or obtained of any dealer in kindergarten materials. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

An Elementary Arithmetic

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Publisher : Forgotten Books
ISBN 13 : 9781333326180
Total Pages : 210 pages
Book Rating : 4.3/5 (261 download)

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Book Synopsis An Elementary Arithmetic by : Calvin Tracy

Download or read book An Elementary Arithmetic written by Calvin Tracy and published by Forgotten Books. This book was released on 2016-08-23 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from An Elementary Arithmetic: Containing Extensive Exercises for the Slate In Simple Addition, 9. Large amount of practical work is presented for the scholar in his first efforts upon the slate. A peculiarity in this part of the system consists in adding by combination by which mental labor is much dimin ished, while increased expedition and accuracy are seemed. This is a matter of practical importance, both in the school room, and the business operations of every-day life. A second peculiarity will be found in the application of, the principle of Subtraction. After the introductory men tal and slate exercises, a business application of the ciple is introduced by natural and obvious gradations. The first consists in subtracting a single member from the amount of several numbers the second, in subtracting the amount of several numbers from a single member and the third, in subtracting the sum of several numbers from the amount of several others. These three distinct subdivisions, embrace every possible application of the principle of subtraction, and for each, specific directions, illustrations, and explana tions are given; The same general system is carried out in the applica tion of the other simple rules. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Elementary Practical Mathematics (Classic Reprint)

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Publisher : Forgotten Books
ISBN 13 : 9780282727291
Total Pages : 418 pages
Book Rating : 4.7/5 (272 download)

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Book Synopsis Elementary Practical Mathematics (Classic Reprint) by : Frank Castle

Download or read book Elementary Practical Mathematics (Classic Reprint) written by Frank Castle and published by Forgotten Books. This book was released on 2017-06-29 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Elementary Practical Mathematics Readers familiar with the published works of Prof. Perry, and those who have attended his lectures, will at once perceive how much of the plan of the book is due to his inspiration. But while claiming little originality, the writer has certainly endeavoured to give teachers of the subject the results of a long experience in instructing practical men how to apply the methods of the Mathematician to their everyday work. The exercises, which number close upon 1400, are either original or have been selected after careful consideration from public examination papers. The writer is glad to take this opportunity of thanking Mr. F. W. Arnold, for reading through the proof sheets, and to express his indebtedness to Prof. R. A. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.