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CHAPTER 10 Exponents and Polynomials Slide 2Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. 10.1Integers as Exponents 10.2Working with Exponents 10.3Scientific Notation 10.4Addition and Subtraction of Polynomials 10.5Introduction to Multiplying and Factoring Polynomials

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OBJECTIVES 10.3 Scientific Notation Slide 3Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. aConvert between scientific notation and decimal notation. bMultiply and divide using scientific notation. cSolve applied problems using scientific notation.

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10.3 Scientific Notation a Convert between scientific notation and decimal notation. Slide 4Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Scientific notation is especially useful when calculations involve very large or very small numbers.

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10.3 Scientific Notation SCIENTIFIC NOTATION Slide 5Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Scientific notation for a number is an expression of the type where n is an integer, M is greater than or equal to 1 and less than 10 and M is expressed in decimal notation.

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Title 10.3 Scientific Notation Slide 6Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. In scientific notation, a positive power of 10 indicates a large number (greater than or equal to 10) and a negative power of 10 indicates a small number (between 0 and 1).

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10.3 Scientific Notation a Convert between scientific notation and decimal notation. Slide 7Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Converting from scientific notation to decimal notation involves multiplying by a power of 10. To convert to decimal notation, we move the decimal point.

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EXAMPLE 10.3 Scientific Notation a Convert between scientific notation and decimal notation. Slide 8Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.

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10.3 Scientific Notation a Convert between scientific notation and decimal notation. Slide 9Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. We reverse the process when converting from decimal notation to scientific notation. To convert a number to scientific notation, we write it in the form where M looks like the original number but with exactly one nonzero digit to the immediate left of the decimal point.

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EXAMPLE 10.3 Scientific Notation a Convert between scientific notation and decimal notation. Slide 10Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.

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10.3 Scientific Notation b Multiply and divide using scientific notation. Slide 11Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.

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EXAMPLE 10.3 Scientific Notation b Multiply and divide using scientific notation. 5 Slide 12Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.

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10.3 Scientific Notation b Multiply and divide using scientific notation. Slide 13Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.

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EXAMPLE 10.3 Scientific Notation b Multiply and divide using scientific notation. 8 Slide 14Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.

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EXAMPLE 10.3 Scientific Notation b Multiply and divide using scientific notation. 8 Slide 15Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.

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EXAMPLE 10.3 Scientific Notation c Solve applied problems using scientific notation. 9Distance from the Sun to Earth. Slide 16Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Light from the sun traveling at a rate of 300,000 km/s (kilometers per second) reaches Earth in 499 sec. Find the distance, expressed in scientific notation, from the sun to Earth.

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EXAMPLE 10.3 Scientific Notation c Solve applied problems using scientific notation. 9Distance from the Sun to Earth. Slide 17Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.

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