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1: Foundations

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Aug 24, 2020
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- 1.1: Prelude to Foundations of Algebra

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1.1: Prelude to Foundations of Algebra
Just like a building needs a firm foundation to support it, your study of algebra needs to have a firm foundation. To ensure this, we begin this book with a review of arithmetic operations with whole numbers, integers, fractions, and decimals, so that you have a solid base that will support your study of algebra.
1.2: Introduction to Whole Numbers
As we begin our study of elementary algebra, we need to refresh some of our skills and vocabulary. This chapter will focus on whole numbers, integers, fractions, decimals, and real numbers. We will also begin our use of algebraic notation and vocabulary.
- 1.2E: Exercises
1.3: Use the Language of Algebra
In algebra, we use letters of the alphabet to represent variables. The letters most commonly used for variables are x,y,a,b, and c .
- 1.3E: Exercises
1.4: Add and Subtract Integers
- 1.4E: Exercises
1.5: Multiply and Divide Integers
- 1.5E: Exercises
1.6: Visualize Fractions
- 1.6E: Exercises
1.7: Add and Subtract Fractions
- 1.7E: Exercises
1.8: Decimals
Decimals are another way of writing fractions whose denominators are powers of 10.
- 1.8E: Exercises
1.9: The Real Numbers
- 1.9E: Exercises
1.10: Properties of Real Numbers
- 1.10E: Exercises
1.11: Systems of Measurement
- 1.11E: Exercises
1.12: Chapter 1 Review Exercises

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