Excerpt from Bourdon's Arithmetic: Containing a Discussion of the Theory of Numbers; Translated From the French of M. Bourbon, and Adapted, to the Use of the Colleges and Academies of the United States
The first numbers are, one, two, three, four, five, six, seven, eight, nine. These numbers are called Simple units, or, units of the first order. Adding a new unit to the number nine, we form the number ten, which we regard as a new denomination, or, spe cies of unit called a ten, or, a unit of the second order. We count by tens in the same manner as we have counted by smple units. Thus, we say, one ten, two tens, &c., &c. Ten, twenty, thirty, forty, fifty, sixty, 810. Between ten and twenty there are nine other numbers, which in English have the names, eleven, twelve, thirteen, fourteen, fifteen, sixteen, seventeen, eighteen, nine teen; names established by usage, showing by their derivation, the addition of the preceding Simple units successively to the unit of the second order.
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Paperback. Zustand: New. Print on Demand. This book lays the foundation for arithmetic and the higher branches of analysis, revealing the fundamental properties of numbers and their most important applications. The author, an experienced professor, believed a sound understanding of these properties was critical to students' success in algebra and related fields. The book begins with the basics of spoken and written numeration, as well as the four fundamental operations on entire numbers: addition, subtraction, multiplication, and division. It then delves into vulgar fractions, exploring their reduction to a common denominator, simplification, and the four fundamental operations upon them. The book's comprehensive treatment of compound numbers, including systems of weights, coins, and measures, provides a solid base for students to tackle practical problems encountered in everyday life and various professions. The author deftly introduces some of the signs and preliminary definitions of algebra to enhance students' understanding of the connections between the properties of numbers and their applications. The book concludes with a collection of examples and exercises to reinforce learning and develop problem-solving skills. Through this rigorous and accessible approach, the book empowers students with the tools and knowledge necessary to excel in their mathematical studies and navigate the intricacies of numbers and their applications. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Bestandsnummer des Verkäufers 9781333731274_0
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