Elementary and Intermediate Algebra: Graphs and Models, 4th by Marvin L. Bittinger, David J. Ellenbogen, Barbara L. Johnson

By Marvin L. Bittinger, David J. Ellenbogen, Barbara L. Johnson

The Bittinger Graphs and versions sequence is helping readers research algebra via making connections among mathematical strategies and their real-world functions. plentiful functions, a lot of which use actual info, provide scholars a context for studying the mathematics. The authors use a number of instruments and techniques—including graphing calculators, a number of ways to challenge fixing, and interactive features—to interact and encourage all kinds of rookies.

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Sample text

We stop when we have already included the next natural number in a factorization. 1 # 18 1 is a factor of every number. 2#9 2 is a factor of 18. 3 #6 3 is a factor of 18. 4 is not a factor of 18. 5 is not a factor of 18. 6 is a factor of 18, but we have already listed it in the product 3 # 6. We need check no additional numbers, because any natural number greater than 6 must be paired with a factor less than 6. *A similar collection of numbers, the whole numbers, includes 0: 0, 1, 2, 3, Á . S E CT I O N 1.

38 CHA PT ER 1 Introduction to Algebraic Expressions ABSOLUTE VALUE There is a convenient terminology and notation for the distance a number is from 0 on the number line. It is called the absolute value of the number. Absolute Value We write ƒ a ƒ , read “the absolute value of a,” to represent the number of units that a is from zero. 2 ƒ ; (c) ƒ 0 ƒ . SOLUTION a) ƒ - 3 ƒ = 3 since - 3 is 3 units from 0. 2 units from 0. c) ƒ 0 ƒ = 0 since 0 is 0 units from itself. 2 units 1 2 3 4 5 6 7 8 Try Exercise 63.

4 3 Removing a factor equal to 1: # # 2 2 ‫؍‬1 2 2 Simplifying Rewriting horizontally. Remember that a fraction bar indicates division. 3 29 Fraction Notation Fraction Notation and Menus Some graphing calculators can perform operations using fraction notation. Others can convert answers to fraction notation. Often this conversion is performed using a command found in a menu. Menus A menu is a list of options that appears when a key is pressed. To select an item from the menu, highlight its number using the up or down arrow keys and press [ or simply press the number of the item.

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