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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Additional info for Elementary and Intermediate Algebra: Graphs and Models, 4th Edition
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.