26. ANSWER: 4-2 Negative Exponents Write each expression using a positive exponent. 14. 28. ANSWER: ANSWER: 46. Multiple Representations In this problem, you will explore negative exponents when using powers of 10, −1 10 16. = or 0.1. ANSWER: 18. ANSWER: 20. ANSWER: a. Table Copy and complete the table shown. b. Reasoning Do you notice a pattern between the negative powers of 10 and their decimal equivalents? Explain. c. Words Write a rule that could be used to find the decimal equivalent of any negative power of 10. d. Numbers Use the rule from part c to find the −12 Write each fraction as an expression using a negative exponent other than −1. 22. value of 10 . ANSWER: a. ANSWER: 24. ANSWER: 26. ANSWER: 28. ANSWER: eSolutions Manual - Powered by Cognero 46. Multiple Representations In this problem, you will b. yes; Sample answer: As the exponents decrease, the number of zeros in the decimal places increase. c. Sample answer: The number of zeros in the decimal equivalent is equal to one less than the absolute value of the negative exponent. For −3 example, 10 = 0.001. −12 d. 10 = 0.000000000001 48. Find the Error Mahala is evaluating the expression −2 2 • 4 . Find her mistake and correct it. Page 1 decimal equivalent is equal to one less than the absolute value of the negative exponent. For −3 example, 10 = 0.001. −12 d. 10 = 0.000000000001 4-2 Negative Exponents 48. Find the Error Mahala is evaluating the expression −2 2 • 4 . Find her mistake and correct it. ANSWER: Mahala added parentheses to the numbers in the expression. The correct solution is −5 54. When simplified, 2 following? F −32 or . is equal to which of the G − H J 32 ANSWER: H eSolutions Manual - Powered by Cognero Page 2
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