Section 1.7 Exponents, Square Roots, and the Order of Operations 67 Section 1.7 Practice Exercises Study Skills Exercise Look over the notes that you took today. Do you understand what you wrote? If there were any rules, definitions, or formulas, highlight them so that they can be easily found when studying for the test. You may want to begin by highlighting the order of operations. Vocabulary and Key Concepts 1. a. Given the expression 54, the is 5 and the exponent is . b. The values 101, 102, 103, and so on are called of 10. c. The positive of 81 is denoted by . The value of is 9 because . 9 9 181 181 d. The of is a process used to simplify expressions involving more than one mathematical operation. e. A is a letter or symbol such as x, y, or z that represents a number. Quantities that do not change such as 5 and 11 are called . f. The or average of a set of numbers is found by taking the sum of the values and then dividing by the number of values. Review Exercises For Exercises 2–8, write true or false for each statement. 2. Subtraction is associative; for example, 3. Addition is commutative; for example, 10 13 22 110 32 2. 5 3 3 5. 4. Subtraction is commutative; for example, 5 3 3 5. 5. 6 0 6 6. 0 8 0 7. 0 8 0 8. 5 0 is undefined. Concept 1: Exponents 9. Write an exponential expression with 9 as the base and 4 as the exponent. 10. Write an exponential expression with 3 as the base and 8 as the exponent. 11. Write an exponential expression with 7 as the exponent and 2 as the base. 12. Write an exponential expression with 5 as the exponent and 6 as the base. For Exercises 13–16, write the repeated multiplication in exponential form. Do not simplify. 13. 3 3 3 3 3 3 14. 7 7 7 7 15. 4 4 4 4 2 2 2 16. 5 5 5 10 10 10 For Exercises 17–20, expand the exponential expression as a repeated multiplication. Do not simplify. 17. 84 18. 26 19. 48 20. 62
miller_basic_college_math_3e_ch1_3
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