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Lesson 4-7 Pages 181-185 Negative Exponents Lesson Check 4-6
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What you will learn! 1.How to write expressions using negative exponents. 2.How to evaluate numerical expressions containing negative exponents.
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What you really need to know! 4242424216 414141414 404040401 4 -1 4 -2 The pattern shows that a negative exponent means to write the base as the denominator of a fraction with a numerator of 1.
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What you really need to know! We can evaluate algebraic expressions with negative exponents using the definition of negative exponents.
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Example 1: Write each expression using a positive exponent: 3 -4 = 1 34343434
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Example 2: Write each expression using a positive exponent: m -2 = 1 m2m2m2m2
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Example 3: Write each expression using a negative exponent: 1 = 1 = 5 -3 125 53535353
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Example 4: An atom is an incredibly small unit of matter. The smallest atom has a diameter of approximately 1/10 th of a nanometer, or 0.0000000001 meter. Write this decimal as a fraction and as a power of 10.
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0.00000000011 10,000,000,000 1= 10 -10 10 10
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Example 5: Evaluate r -2 if r = -4 1 = 1 = 1 r2r2r2r2 (-4) 2 16
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Page 183 Guided Practice #’s 3-13
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Pages 181-182 with someone at home and study examples! Read:
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Homework: Pages 183-185 #’s 14-52 even #’s 55-56, 61-74, Practice Quiz 2: 1-10 Lesson Check 4-7
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Page 732 Lesson 4-7
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Lesson Check 4-7
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