chapter 10 exponents and polynomials slide 2copyright 2012, 2008, 2004, 2000 pearson education, inc....

CHAPTER

10Exponents and Polynomials

Slide 2Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.

10.1 Integers as Exponents10.2 Working with Exponents10.3 Scientific Notation10.4 Addition and Subtraction of Polynomials10.5 Introduction to Multiplying and Factoring

Polynomials

OBJECTIVES

10.3 Scientific Notation

Slide 3Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.

a Convert between scientific notation and decimal notation.

b Multiply and divide using scientific notation.c Solve applied problems using scientific notation.

10.3 Scientific Notation

a Convert between scientific notation and decimal notation.

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Scientific notation is especially useful when calculations involve very large or very small numbers.

10.3 Scientific Notation

SCIENTIFIC NOTATION

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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.

Title

10.3 Scientific Notation

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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).

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.

EXAMPLE

10.3 Scientific Notation

a Convert between scientific notation and decimal notation.

Slide 8Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.

10.3 Scientific Notation

a Convert between scientific notation and decimal notation.

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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.

EXAMPLE

10.3 Scientific Notation

a Convert between scientific notation and decimal notation.

Slide 10Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.

10.3 Scientific Notation

b Multiply and divide using scientific notation.

Slide 11Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.

EXAMPLE

10.3 Scientific Notation

b Multiply and divide using scientific notation.

5

Slide 12Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.

10.3 Scientific Notation

b Multiply and divide using scientific notation.

Slide 13Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.

EXAMPLE

10.3 Scientific Notation

b Multiply and divide using scientific notation.

8

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EXAMPLE

10.3 Scientific Notation

b Multiply and divide using scientific notation.

8

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EXAMPLE

10.3 Scientific Notation

c Solve applied problems using scientific notation.

9 Distance from the Sun to Earth.

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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.

EXAMPLE

10.3 Scientific Notation

c Solve applied problems using scientific notation.

9 Distance from the Sun to Earth.

Slide 17Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.