8 Ch3 Lesson 6 Scientific Notation.notebook October 09, 2017

Scientific NotationChapter 3 Lesson 6

Warm­Up:Evaluate the following expressions using positive exponents.

1.) 3­12 310 =

2.) 8­6 =

.82

Let's complete the table together...

4.7 x 101 = _____

4.7 x 102 = _____

4.7 x 103 = _____

4.7 x 104 = _____ 4.7 x 10­4 = ______

4.7 x 10­2 = ______

4.7 x 10­3 = ______

4.7 x 10­1 = ______

Discuss the relationship between the exponent and the number of times the decimal is moved

8 Ch3 Lesson 6 Scientific Notation.notebook October 09, 2017

Scientific Notation... What does it mean?When a number is written as the _____________ of a factor and an ___________ __________ of ______.

The factor must be _________ ______ or equal to ___ and _____ ______ ____.

productinteger power 10

greater than1 less than 10

Scientific Notation... to standard from SNExamples:

1.) 5.34 x 104 = ___________

2.) 3.27 x 10­3 = ___________

positive exponent ­ when the number is greater than 1

negative exponent ­ when the number is less than 1

8 Ch3 Lesson 6 Scientific Notation.notebook October 09, 2017

Got it? Do these to find out...

a.) 7.42 x 105 = ______________

b.) 6.1 x 10­2 = ______________

c.) 3.714 x 102 = ______________

Scientific Notation... to SN from standard

Examples:

3.) 3,725,000 = ___________

4.) 0.000316 = ___________

(number greater than 1, positive exponent)

(number less than 1, negative exponent)

8 Ch3 Lesson 6 Scientific Notation.notebook October 09, 2017

Got it? Do these to find out...

d.) 14,140,000 = ______________

e.) 0.00876 = ______________

f.) 0.114 = ______________

Using Scientific NotationGiven the info below, order the countries according to the amount of money visitors spent in the US greatest to least.

Country Dollars Spent

Canada 1.03 x 107

India 1.83 x 106

Mexico 7.15 x 106

United Kingdom 1.06 x 107

Dollars Spent by InternationalVisitors in the U.S.

Got it? Now you try...

Given the info below, order the number of visitors from least to greatest.

U.S. City Visitors

Boston 7.21 x 105

Las Vegas 1.3 x 106

Los Angeles 2.2 x 106

Metro D.C. Area 9.01 x 105

8 Ch3 Lesson 6 Scientific Notation.notebook October 09, 2017

1) The distance from Mathtown to Lartville is 4.6 x 106 and the distance from Mathtown to Scienceworld is 9.9 x 105. Which “city” is farther from Mathtown? Show your work on how you compared the two distances.

Comparing Numbers in Scientific Notation

2) Jake found a shark’s tooth that was 4.2 x 10­4 meters and his little sister Isabelle found one that was 9.7 x 10­5 meters. Who found the larger shark’s tooth?

3) Brad the Brainiac has a textbook that is 5.9 x 103 millimeters thick, while his baby sister Sally has a textbook that is 2.0 X 104 millimeters thick. Who has the thickest textbook?

4) Max is an artist who can carve a statue of a Yorkie that is 3.8 x 10­2 feet tall, while his former teacher can carve one 2.3 x 10­3. Who can carve the tiniest Yorkie statue?

8 Ch3 Lesson 6 Scientific Notation.notebook October 09, 2017