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Grade 8 McGraw Hill Glencoe - Answer Keys
Chapter 1 - Real Numbers; Lesson 2: Powers and Exponents
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Question 13
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Model with Mathematics Refer to the graphic novel frame below for Exercises a-d.
The metric system is based on powers of 10. For example, one kilometer is equal to 1,000 meters or \(10^{3}\) meters. Write each measurement in meters as a power of 10.
a . hectometers (100 meters)
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Question 13
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b . megameter (1,000,000 meters)
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Question 13
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c . gigameter (1,000,000,000 meters)
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Question 13
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d . petameter (1,000,000,000,000,000 meters)
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H.O.T. Problems H igher O rder T hinking
Question 14
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Identify Structure Write an expression with an exponent that has a value between 0 and 1.
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Question 15
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Identify Repeated Reasoning Describe the following pattern : \(3^{4} = 81\), \(3^{3} = 27\), \(3^{2} = 9\), \(3^{1} = 3\). Then use a similar pattern to predict the value of \(2^{-1}\).
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Question 16
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Reason Abstractly Simplify the expression below to develop a rule for multiplying powers with the same base.
\(2^{2}\cdot2^{3} = 32\text{ or }2^{\text{?}}\) \(3\cdot3^{2} = 27\text{ or }3^{\text{?}}\)
\(4^{3}\cdot4 = 256\text{ or }4^{\text{?}}\) \(\text{x}^{2}\cdot\text{x}^{3} = \text{x}^{\text{?}}\)
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