Table of Contents

Topic Page #...

8.1 Exponent Properties 838.2 Exponents w/ Quotients 848.3 Zero and Negative Exponents 858.4 Scientific Notation 86

Scientific Notation:a number is written in scientific notation when it is of the form c x 10n where 1 10c

Number Standard Form Scientific Form

Two million 2,000,000 2 x 106

Five thousandths 0.005 5 x 10-3

Ex #1: Write the number in scientific notation.

a. 42,590,000

4.259 710

Ex #1: Write the number in scientific notation.

b. 539,000

5.39 510

Ex #1: Write the number in scientific notation.

c. 0.0000574

5.74 510

Ex #1: Write the number in scientific notation.

d. 0.00406

4.06 310

Ex #2: Write the number in standard form

a. 62.0075 10

2 007500,,

0 0

Ex #2: Write the number in standard form

b. 3.03 104

30300,

0 0

Ex #2: Write the number in standard form

c. 41.865 10000

.0001865

Ex #2: Write the number in standard form

d. 54.5 10000

.000045

0

Ex #3: Order numbers from smallest to largest

a.

8103,400,000;7.8 10 ; 80,706,000and

780000000,,

80,706,000; 7.8 108

103,400,000;

Ex #3: Order numbers from smallest to largest

b.

5 42.7 10 ;3.401 10 ; 27,500and

27,500; 43.401 10 ; 52.7 10

42.75 10

Ex #4: Compare using <, > or =

5404,000.1______ 4.04001 10

404001,

<

Ex #5: Compare using <, > or =

30.003309 ______ 3.309 10

0.003309

=

Ex #5: Compute with numbers in scientific notation

231.5 10

2 61.5 10

2.25 610

a.

Ex #5: Compute with numbers in scientific notation

2 68.5 10 1.7 10

2 68.5 1.7 10 10

14.45 810

1.445 910

b.

Ex #5: Compute with numbers in scientific notation

0.75 107

7.5 106

c.

1.2 104

1.6 10 3

Ex #6: Oregon has an area of approximately 2.5 x 105 square kilometers. In 2000, the population of Oregon was approximately 3.45 x 106 people. How many people were there per square kilometer in Oregon in 2000?

6

5

3.45 10

2.5 10 11.38 10

13.8 people