10.5 The Order of Operations What are your objectives for Section 10.5? How can you accomplish each objective? 1 Use Signed Numbers with Exponents • If a negative number is being raised to a power, it is always in parentheses. • Review Section 2.6 on exponents. • Complete the given examples on your own. • Complete You Trys 1 and 2 2 Use the Order of Operations with Signed • Write the Order of Operations in your own words. • Review the Be Careful! box on page 750. • Complete the given examples on your own. • Complete You Trys 3–5. Read the explanations, follow the examples, take notes, and complete the You Trys. 1 Use Signed Numbers with Exponents We have learned that an exponent can be used to represent repeated multiplication. For example, 2 2 2 23 d Exponent or power Base where the base is 2 and the exponent, or power, is 3. Note If an exponent is used to represent repeated multiplication of a negative number, we must put the number in parentheses. Write each multiplication problem using an exponent. a) 6 (6) (6) b) 9 (9) (9) (9) Solution a) 6 (6) (6) (6)3 The factor of 6 is multiplied 3 times. 166626663 3 factors of 6 b) 9 (9) (9) (9) (9)4 The factor of 9 is multiplied 4 times. 144666626666443 4 factors of 9 Numbers EXAMPLE 1 YOU TRY 1 Write each multiplication problem using an exponent. a) 7 (7) (7) (7) b) 2 (2) (2) (2) (2) 748 CHAPTER 10 Signed Numbers www.mhhe.com/messersmith
messersmith_power_basic_college_1e_ch4_7_10
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