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"A Key To The Improved Edition (mongan's) Of Walkingame's Arithmetic" is a companion guide designed to aid students and educators in mastering the principles of arithmetic as presented in Francis Walkingame's renowned textbook. This key offers solutions and explanations to the exercises within Walkingame's arithmetic, facilitating a deeper understanding of mathematical concepts. James Roscoe Mongan's improved edition seeks to enhance the clarity and effectiveness of the original work, making this key an indispensable resource for anyone studying or teaching arithmetic in the context of 19th-century educational practices. It provides valuable insights into the pedagogical approaches of the time and offers a structured method for tackling arithmetic problems, ensuring that learners can confidently navigate the subject matter. 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.