A Textbook For Math: Bronx Community College

ARITHMETIC:
A Textbook for Math 01
3rd edition (2012)
Anthony Weaver
Department of Mathematics and Computer Science
Bronx Community College

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3rd Edition. Copyright c 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.

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2.2.2 Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
2.3 Mixed Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
2.3.1 Converting an improper fraction into a mixed or whole number
2.3.2 Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
2.3.3 Converting a mixed or whole number to an improper fraction .
2.3.4 Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
2.4 Multiplication of Fractions . . . . . . . . . . . . . . . . . . . . . . .
2.4.1 Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
2.5 Equivalent Fractions . . . . . . . . . . . . . . . . . . . . . . . . . . .
2.5.1 Cancellation and Lowest Terms . . . . . . . . . . . . . . . . .
2.5.2 Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
2.6 Prime Factorization and the GCF . . . . . . . . . . . . . . . . . . . .
2.6.1 Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
2.6.2 Finding the GCF . . . . . . . . . . . . . . . . . . . . . . . . .
2.6.3 Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
2.6.4 Cancelling the GCF for lowest terms . . . . . . . . . . . . .
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2.9.1 Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
2.10 Division of Fractions . . . . . . . . . . . . . . . . . . . . . . . . . . .
2.10.1 Reciprocals . . . . . . . . . . . . . . . . . . . . . . . . . . .
2.10.2 Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
2.10.3 Division is Multiplication by the Reciprocal of the Divisor . . .
2.10.4 Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
2.11 Mixed Numbers and Mixed Units . . . . . . . . . . . . . . . . . . . .
2.11.1 Vertical Addition and Subtraction . . . . . . . . . . . . . . .
2.11.2 Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
2.11.3 Measurements in Mixed Units . . . . . . . . . . . . . . . . .
2.11.4 Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
2.12 Combined operations with fractions and mixed numbers . . . . . . . .
2.12.1 Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
3 Decimals and Percents
3.1 Decimal place values . . .
3.1.1 Exercises . . . . . .
3.2 Significant and Insignificant
3.3 Comparing Decimals . . . .
3.3.1 Exercises . . . . . .

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