By James Stewart, Lothar Redlin, Saleem Watson

This top promoting writer crew explains recommendations easily and obviously, with no glossing over tough issues. challenge fixing and mathematical modeling are brought early and bolstered all through, offering scholars with an effective beginning within the ideas of mathematical pondering. accomplished and frivolously paced, the ebook presents entire insurance of the functionality thought, and integrates an important quantity of graphing calculator fabric to assist scholars enhance perception into mathematical rules. The authors' cognizance to aspect and readability, almost like present in James Stewart's market-leading Calculus publication, is what makes this ebook the marketplace chief.

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Player A also has a higher batting average than player B for the second half of the season. Is it necessarily true that player A has a higher batting average than player B for the entire season? 6. Coffee and Cream A spoonful of cream is taken from a pitcher of cream and put into a cup of coffee. The coffee is stirred. Then a spoonful of this mixture is put into the pitcher of cream. Is there now more cream in the coffee cup or more coffee in the pitcher of cream? 7. Wrapping the World A ribbon is tied tightly around the earth at the equator.

2. Perform all multiplications and divisions, working from left to right. 3. Perform all additions and subtractions, working from left to right. EXAMPLE 2 Evaluating an Arithmetic Expression Find the value of the expression 3a 8 ϩ 10 ϩ 4 b Ϫ 215 ϩ 92 2#3 S O L U T I O N First we evaluate the numerator and denominator of the quotient, since these are treated as if they are inside parentheses: 3a 8 ϩ 10 18 ϩ 4 b Ϫ 215 ϩ 92 ϭ 3 a ϩ 4 b Ϫ 215 ϩ 92 # 2 3 6 NOW TRY EXERCISE 7 Evaluate numerator and denominator ϭ 313 ϩ 42 Ϫ 215 ϩ 92 Evaluate quotient ϭ 3 # 7 Ϫ 2 # 14 Evaluate parentheses ϭ 21 Ϫ 28 Evaluate products ϭ Ϫ7 Evaluate difference ■ 4 CHAPTER P | Prerequisites ▼ Properties of Real Numbers We all know that 2 ϩ 3 ϭ 3 ϩ 2.

Mailing a Package The post office will accept only packages for which the length plus the “girth” (distance around) is no more than 108 inches. Thus for the package in the figure, we must have (a) Will the post office accept a package that is 6 in. wide, 8 in. deep, and 5 ft long? What about a package that measures 2 ft by 2 ft by 4 ft? (b) What is the greatest acceptable length for a package that has a square base measuring 9 in. by 9 in? ■ 68. Irrational Numbers and Geometry Using the following figure, explain how to locate the point 12 on a number line.