4-2 Negative Exponents

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