chapter 10 exponents and polynomials slide 2copyright 2012, 2008, 2004, 2000 pearson education, inc....
TRANSCRIPT
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.
Slide 4Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.
Scientific notation is especially useful when calculations involve very large or very small numbers.
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.
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).
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.
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.
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
Slide 14Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.
EXAMPLE
10.3 Scientific Notation
b Multiply and divide using scientific notation.
8
Slide 15Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.
EXAMPLE
10.3 Scientific Notation
c Solve applied problems using scientific notation.
9 Distance 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.
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.