Section 5.7 Negative Exponents and Scientific Notation. What is YOUR Share?
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1 Section. Negative Eponents and Scientific Notation What is YOUR Share? In a recent ear there was a budget deficit of about $,0,000,000,000 and there were approimatel 0,000,000 Americans. In this section of the tetbook, we will use eponents and scientific notation to eplore these values. First Steps: Take comprehensive notes from our instructor s lecture and insert our notes into this section of the Learning Guide. Be sure to write down all eamples, definitions, and other ke concepts. Additional learning resources include the Lecture Series on DVD, the PowerPoints, and Section. of our tetbook which begins on page. Complete the Concept and Vocabular Check on page 40 of the tetbook. Guided Practice: Review each of the following Solved Problems and complete each Pencil Problem. Objective #: Use the negative eponent rule. Solved Problem # a. Use the negative eponent rule to write positive eponent and then simplif. with a Pencil Problem # a. Use the negative eponent rule to write positive eponent and then simplif. with a b. Use the negative eponent rule to write a positive eponent and then simplif. ( ) 4 ( ) 4 ( ) 4 with b. Use the negative eponent rule to write ( ) with a positive eponent and then simplif. Copright 0 Pearson Education Inc. 4
2 Introductor Algebra for College Students e c. Use the negative eponent rule to write with a positive eponent and then simplif. c. Use the negative eponent rule to write a positive eponent and then simplif. with 4 d. Write with positive eponents onl. Then simplif, if possible. d. Write 4 with positive eponents onl. Then simplif, if possible. 4 4 e. Write with positive eponents onl. Then simplif, if possible. e. Write with positive eponents onl. Then simplif, if possible. f. Write with positive eponents onl. Then simplif, if possible. f. Write with positive eponents onl. Then simplif, if possible. 44 Copright 0 Pearson Education Inc.
3 Section. a. Simplif: Objective #: Simplif eponential epressions. Solved Problem # Pencil Problem # a. Simplif: 0 0 b. Simplif: b. Simplif: 0z 0 0z c. Simplif: 4 ( ) c. Simplif: 4 ( ) 4 4 ( ) ( ) 4 Copright 0 Pearson Education Inc. 4
4 Introductor Algebra for College Students e d. Simplif: 4 d. Simplif: a. Write Objective #: Convert from scientific notation to decimal notation. Solved Problem #.4 0 in decimal notation. a. Write Pencil Problem #. 0 in decimal notation. The eponent is positive so we move the decimal point nine places to the right..4 0, 400, 000, 000 b. Write.0 0 in decimal notation. b. Write. 0 4 in decimal notation. The eponent is negative so we move the decimal point si places to the left Objective #4: Convert from decimal notation to scientific notation. Solved Problem #4 4a. Write, 40,000,000 in scientific notation., 40, 000, Pencil Problem #4 4a. Write 0,000,000 in scientific notation. 4 Copright 0 Pearson Education Inc.
5 Section. 4b. Write in scientific notation. 4b. Write in scientific notation Objective #: Compute with scientific notation. Solved Problem # a. Perform the indicated computation, writing the answer in scientific notation: (0 )( 0 ) Pencil Problem # a. Perform the indicated computation, writing the answer in scientific notation: (0 )( 0 ) (0 )( 0 ) () (0 0 ) b. Perform the indicated computation, writing the.40 answer in scientific notation: 4 40 b. Perform the indicated computation, writing the 4 0 answer in scientific notation: ( 4).0.0 c. Perform the indicated computation, writing the answer in scientific notation: (4 0 ) c. Perform the indicated computation, writing the 4 answer in scientific notation: ( 0 ) (40 ) 4 (0 ) Copright 0 Pearson Education Inc. 4
6 Introductor Algebra for College Students e Objective #: Solve applied problems using scientific notation. Solved Problem # Pencil Problem #. The cost of President Obama s 00 economic stimulus package was $ billion, or. 0 dollars. If this cost were evenl divided among ever individual in the United States (approimatel.0 0 people), how much would each citizen have to pa?. If there are approimatel. 0 seconds in a ear, approimatel how man ears is. trillion seconds? Each citizen would have to pa about $0. a. 4 Answers for Pencil Problems (Tetbook Eercise references in parentheses): (. #) b. (. #) c. (. #) d. (. #) e. a. (. #) b. z (. #) f. (. # ) c. a.,000 (. #) b (. #) 4a. a.. 0 (. #) 4b..0 0 (. #0) (. # ) (. # 4) d. 0 (. #0) b. 0 (. #) c.. 0 (. #). 4,000 ears (. #4) (. #) Homework: Review the Section. summar on page 4 of the tetbook. Insert our homework into this section of the Learning Guide. Show all work neatl and check our answers. Strive to work through difficulties when possible, making note of an eercises where ou need additional help. Remember, even if our instructor assigns homework through MMathLab, ou should still write out our work. 4 Copright 0 Pearson Education Inc.
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