ARITHMETIC: A Textbook for Math 01 3rd edition (2012) Anthony Weaver Department of Mathematics and Computer Science Bronx Community College Page 2 c 3rd Edition. Copyright !Anthony Weaver, June 2012, Department of Mathematics and Computer Science, CPH 315, Bronx Community College, 2155 University Avenue, Bronx, NY 10453. Thanks to the following colleagues for various combinations of proof-reading, technical help, improvements in pedagogy and/or exposition: Nikos Apostolakis, Luis Fernandez, Marie Hercule, Uma Iyer, Toni Kasper, Alexander Kheyfits, Roman Kossak, George Leibman, Emanuel Paki, Maria Psarelli, Philipp Rothmaler, Camilo Sanabria. Responsibility for errors remains with me. – A.W. June, 2012. Page 3 Page 4 Contents 1 Whole Numbers 1.0.1 Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . 1.1 Adding Whole Numbers . . . . . . . . . . . . . . . . . . . . . . 1.1.1 Commutativity, Associativity, Identity . . . . . . . . . . 1.1.2 Multi-digit addition . . . . . . . . . . . . . . . . . . . . 1.1.3 Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . 1.2 Subtracting Whole Numbers . . . . . . . . . . . . . . . . . . . 1.2.1 Commutativity, Associativity, Identity . . . . . . . . . . 1.2.2 Multi-digit subtractions . . . . . . . . . . . . . . . . . . 1.2.3 Checking Subtractions . . . . . . . . . . . . . . . . . . 1.2.4 Borrowing . . . . . . . . . . . . . . . . . . . . . . . . . 1.2.5 Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . 1. ...
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