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

Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. 10.3 Scientific Notation a Convert between scientific notation and decimal notation. b Multiply and divide using scientific notation. c Solve applied problems using scientific notation. c Convert temperatures from Celsius to Fahrenheit and from Fahrenheit to Celsius. Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 3

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

Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. 10.3 Scientific Notation SCIENTIFIC NOTATION a 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. Convert between scientific notation and decimal notation. Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 5

Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. 10.3 Scientific Notation 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). a Convert between scientific notation and decimal notation. Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 6

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

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

Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. 10.3 Scientific Notation a Convert between scientific notation and decimal notation. 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. Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 9

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

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

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

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

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

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

Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. 10.3 Scientific Notation c Solve applied problems using scientific notation. 9 Distance from the Sun to Earth. 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. Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 16

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