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9 Ch3 Lesson 7 ComputeSciNotADVANCED.notebook 1 October 11, 2017 Computing with Scientific Notation Chapter 3 Lesson 7 WarmUp: Express the numbers in scientific notation. 1.) 2,760,000,000 2.) 0.0000007136

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9 Ch3 Lesson 7 ComputeSciNotADVANCED.notebook

1

October 11, 2017

Computing with Scientific Notation

Chapter 3 Lesson 7Warm­Up:Express the numbers in scientific notation.

1.) 2,760,000,000

2.) 0.0000007136

9 Ch3 Lesson 7 ComputeSciNotADVANCED.notebook

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October 11, 2017

9 Ch3 Lesson 7 ComputeSciNotADVANCED.notebook

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October 11, 2017

Computing with Scientific NotationChapter 3 Lesson 7

Examples: Multiplying

Evaluate and express in scientific notation.

(7.2 x 103) (1.6 x 104) 1.)

Now you try...

a.) (8.4 x 102) (2.5 x 106)

b.) (2.63 x 104) (1.2 x 10­3)

Product of Powers Rule

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Examples: Dividing2.) In 2010, the world population was about 6,860,000,000. The population of the US was about 3 x 108. About how many times larger is the world population than the US?

Estimate

6,860,000,000 = 6.86 x 109 ~~ 7 x 109

3 x 108Divide: 7 x 109

Quotient of Powers Rulewrite your answer in scientific notation.

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Now you try...

8 x 108

2 x 105

c.)

4.25 x 109

5 x 103

d.)

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Homework Check ~ math8

p. 222 (1­3)1.) 4.94 x 107

2.) 3.1 x 105

3.) 20

page 223 (1­7)1.) 8.97 x 108

2.) 3.762 x 10­7

3.) 8.19 x 10­2

4.) 6.3 x 104

5.) 2.375 x 1011

6.) 3.75 x 10­19

7.) 8,000 times

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Adding and Subtracting in Scientific Notation

(6.89 x 104) + (9.24 X 105)Line up the place values.Write 9 x 105 with 4 as the exponent.

3.) Example: Addition

9 Ch3 Lesson 7 ComputeSciNotADVANCED.notebook

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October 11, 2017

Adding and Subtracting in Scientific Notation

(6.89 x 104) + (9.24 X 105)Line up the place values.Write 9 x 105 with 4 as the exponent.

3.)

Example: Addition

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October 11, 2017

Adding and Subtracting in Scientific Notation

(7.83 x 108) ­ 11,610,0004.)

Example: Subtraction(put in sci. not.)

593,000 + (7.89 x 106)5.) (put in sci. not.)

Example: Addition

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Now you try...d.) (8.41 x 103) + (9.41 x 104)

e.) (1.263 x 109) ­ (1.525 x 107)

f.) (6.3 x 105) + 2,700,000

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When you move the decimal LEFT ­­> ADD to the exponent

When you move the decimal RIGHT ­­> SUBTRACT from the exponent

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Homework ~ Lesson 7 p. 223(1­11)

p. 226(25­27)

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Homework Check ~ advanced m8 page 222 (1­7)1.) 4.94 x 107

2.) 3.1 x 105

3.) 204.) 8.9042 x 109

5.) 9.5871 x 108

6.) 1.233 x 106

7.) 6.854 x 105

page 223 (1­11)1.) 8.97 x 108

2.) 3.762 x 10­7

3.) 8.19 x 10­2

4.) 6.3 x 104

5.) 2.375 x 1011

6.) 3.75 x 10­19

7.) 8,000 times8.) 9.563 x 1011

9.) 9.83 x 108

10.) 1.35759 x 109

11.) 8.70366 x 104

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October 11, 2017