92 Chapter 1 The Set of Real Numbers Calculator Connections Topic: Evaluating Exponential Expressions with Positive and Negative Bases Be particularly careful when raising a negative number to an even power on a calculator. For example, the expressions 1422 42 1422 16 42 16 and have different values.That is, and .Verify these expressions on a calculator. Scientific Calculator: To evaluate 1422 Enter: 4 Result: To evaluate on a scientific calculator, it is important to square 4 first and then take its opposite. 42 Enter: 4 Result: Graphing Calculator: 16 16 The graphing calculator allows for several methods of denoting the multiplication of two real numbers. For example, consider the product of and 4. 8 Calculator Exercises Simplify the expression without the use of a calculator. Then use the calculator to verify your answer. 5 625 152152152152 1524 4 2 5.2 2.6 6152 30 1. 2. 3. 625 4. 625 5. 6. 5.76 7. 5.76 8. 9. 4 10. 90152122 8.4 1 1 2.1 2.42 12.422 12112112 36 For additional exercises, see Classroom Activities 1.5A–1.5D in the Student’s Resource Manual at www.mhhe.com/moh. Section 1.5 Practice Exercises Study Skills Exercise Look through the text, and write down a page number that contains: a. An Avoiding Mistakes box __________________ b. A Tip box ________________ c. A key term (shown in bold) ________________ Vocabulary and Key Concepts 1. a. If a is a nonzero real number, then the reciprocal of a is ________________. ab b. If either a or b is zero then the product ab ________________. 0 c. If a 0, and b 0, then __________________. 1 a 0 Writing Translating Expression Geometry Scientific Calculator Video
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