Lesson 2.9 Scientific Notation - CBSD
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CC 2.9 Scientific Notation CJ.notebook 1 November 02, 2015 Lesson 2.9 Scientific Notation
Transcript of Lesson 2.9 Scientific Notation - CBSD
CC 2.9 - Scientific Notation CJ.notebook1
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Our Target:
By the end of today's lesson, you should be able to...
• Use Scientific Notation • Convert between standard and
scientific notations
7
November 02, 2015
Math Message 2.9
• In lesson 24, you multiplied numbers by powers of 10. Review your answers to Problems 13 on journal page 56. Then find the following products:
5 * 10 4 * 10 9 * 10 3 * 10 3 6 9 6
CC 2.9 Scientific Notation CJ.notebook
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Positive Powers of 10
Negative Powers of 10
Can you think of a number that is not positive or negative?????
Why would the zero power of any number equal 1?
CC 2.9 Scientific Notation CJ.notebook
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10
Not written in proper scientific notation
CC 2.9 Scientific Notation CJ.notebook
11
7.82 x 10
3.04 x 10
5 x 10
6.2103 x 10
The exponent tells you how many decimal places you need to move.
decimal notationscientific notation
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123,000,000,000
45,000,000
67,800,000,000,000
9,000
Move the star to count the number of decimal places.
The amount of moves will give you the exponent value.
decimal notation scientific notation
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November 02, 2015
An example of a really big number. Please write it in scientific notation.
As the planets orbit the sun, the closest Pluto gets to Earth is approximately 2,700,000,000 miles.
CC 2.9 Scientific Notation CJ.notebook
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0.000000034
0.0000000005609
0.000000000064
0.007 Move the star to count the number of decimal places.
The amount of moves will give you the exponent value.
decimal notation scientific notation
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4.8 x 10
1.2 x 10
9 x 10
7.1034 x 10
The exponent tells you how many decimal places you need to move.
decimal notationscientific notation
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November 02, 2015
An example of a really small number. Please write it in scientific notation.
Human fingernails grow at a rate of about 0.00286 inches per day.
CC 2.9 Scientific Notation CJ.notebook
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November 02, 2015
An example of a really small number. Please write it in scientific notation.
The thickness of a red blood cell is approximately 0.0003125 of an inch.
CC 2.9 Scientific Notation CJ.notebook
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November 02, 2015
Scientific Notation Toss Players - Materials: Two 6-sided die One whiteboard for each player Goal: Make the largest numbers possible written in scientific notation
Directions: 1. Each player rolls the dice 3 times and writes each result in scientific notation.
2. Players convert their numbers from scientific notation to standard notation. Then they order the numbers from largest to smallest.
3. Players compare lists. The player who has the largest number wins. In case of a tie, they roll a fourth time.
Ex. Ann rolls: 2 and 4 5 and 3 1 and 6
Ann writes: 2 * 10 3 * 10 1 * 10 20,000 300,000 1,000,000
Ann orders: 1,000,000 300,000 20,000
Whoever has the largest of the numbers wins.
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Did we reach our Target????
By the end of today's lesson, we should be able to...
• Use Scientific Notation
CC 2.9 Scientific Notation CJ.notebook
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Sign/Return
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November 02, 2015
We are off to the Decimal Races... Get your whiteboards ready
Attachments
ScientificNotationQuestions.notebook
images/BlueQuestionBox(1).png
metadata.xml
preview.png
page1.svg
Dec 13-1:41 PM © 2008 SMART Technologies ULC. All rights reserved. The Senteo logo and the SMART logo are trademarks or registered trademarks of SMART Technologies ULC in the U.S. and/or other countries. www.education.smarttech.com Scientific Notation Scientific Notation Grades: Subject: 6-8 Mathematics
page2.svg
Dec 13-3:02 AM True False A number in scientific notation is always written in the form C x 10 n , where C is an integer called the coefficient and n is a whole number called the exponent . 1 True or False <persistencedata><PersistenceProperties id="CollapsedLocation"><x>513</x><y>23</y></PersistenceProperties></persistencedata>
page3.svg
Dec 13-3:02 AM True False When a number in scientific notation is written with a negative exponent, it means the number is greater than 1. 2 True or False <persistencedata><PersistenceProperties id="CollapsedLocation"><x>513</x><y>23</y></PersistenceProperties></persistencedata>
page5.svg
Dec 13-3:02 AM Which of the following equations are written in correct scientific notation? 3 A 37.64 x 10 -5 B 6.5 x 10 -23 C 235.06 x 10 12 D 6.732 x 10 23 Multiple answer <persistencedata><PersistenceProperties id="CollapsedLocation"><x>512</x><y>24</y></PersistenceProperties></persistencedata>
page0.svg
Dec 13-3:02 AM 4 Which of the following is the correct scientific notation for 2,340,000? A 2.34 x 10 6 B 234 x 10 5 C 23.4 x 10 6 D 2.34 x 10 5 Multiple choice <persistencedata><PersistenceProperties id="CollapsedLocation"><x>510</x><y>25</y></PersistenceProperties></persistencedata>
page4.svg
Dec 13-3:02 AM 5 Which of the following is the correct scientific notation for 0.00028? A 2.8 x 10 -4 B 0.28 x 10 -4 C 28 x 10 -4 D 2.8 x 10 -5 Multiple choice <persistencedata><PersistenceProperties id="CollapsedLocation"><x>510</x><y>25</y></PersistenceProperties></persistencedata>
page13.svg
Dec 13-3:02 AM 6 Which of the following is the correct decimal notation of 6.67 x 10 5 ? A 66,700 B 667,000 C 6,670,000 D 6,670 Multiple choice <persistencedata><PersistenceProperties id="CollapsedLocation"><x>510</x><y>25</y></PersistenceProperties></persistencedata>
page9.svg
Dec 13-3:02 AM 7 The speed of light in a vacuum is approximately 186,000 miles per second. Convert this number into scientific notation. A 18.6 x 10 -5 miles/second B 186 x 10 3 miles/second C 1.86 x 10 5 miles/second D 1.86 x 10 4 miles/second Multiple choice <persistencedata><PersistenceProperties id="CollapsedLocation"><x>510</x><y>25</y></PersistenceProperties></persistencedata>
page10.svg
Dec 13-3:02 AM Convert 9.32 x 10 8 into decimal notation. 8 Numeric <persistencedata><PersistenceProperties id="CollapsedLocation"><x>512</x><y>23</y></PersistenceProperties></persistencedata>
page11.svg
Dec 13-3:02 AM Which of the following decimals have been correctly converted into scientific notation? 9 A 7.12 x 10 8 = 712,000,000 B 3.14 x 10 6 = 314,000,000 C 4.32 x 10 -8 = 0.0000000432 D 9.1 x 10 -4 = 0.0091 Multiple answer <persistencedata><PersistenceProperties id="CollapsedLocation"><x>512</x><y>24</y></PersistenceProperties></persistencedata>
page12.svg
Dec 13-3:02 AM Convert the following equation into decimal notation: (5.6 x 10 8 ) x (3.2 x 10 -5 ) 10 Numeric <persistencedata><PersistenceProperties id="CollapsedLocation"><x>512</x><y>23</y></PersistenceProperties></persistencedata>
SMART Notebook
Page 6: Target Goal
Page 7: Message 2.9
Page 9: Journal 72
Page 11: SN to dec pos exxponents
Page 12: Dec to SN pos exponent
Page 13: Earth to Pluto
Page 14: Dec to SN neg exponents
Page 15: SN to Dec Neg Exponents
Page 16: Fngernails
Page 18: 73
Page 19: Notes
Page 22: Target check
Page 27: Other Resources
Page 30: masters 60
Page 31: masters 61
Page 32: CC - Races
2
3
4
5
6
Our Target:
By the end of today's lesson, you should be able to...
• Use Scientific Notation • Convert between standard and
scientific notations
7
November 02, 2015
Math Message 2.9
• In lesson 24, you multiplied numbers by powers of 10. Review your answers to Problems 13 on journal page 56. Then find the following products:
5 * 10 4 * 10 9 * 10 3 * 10 3 6 9 6
CC 2.9 Scientific Notation CJ.notebook
8
Positive Powers of 10
Negative Powers of 10
Can you think of a number that is not positive or negative?????
Why would the zero power of any number equal 1?
CC 2.9 Scientific Notation CJ.notebook
9
10
Not written in proper scientific notation
CC 2.9 Scientific Notation CJ.notebook
11
7.82 x 10
3.04 x 10
5 x 10
6.2103 x 10
The exponent tells you how many decimal places you need to move.
decimal notationscientific notation
12
123,000,000,000
45,000,000
67,800,000,000,000
9,000
Move the star to count the number of decimal places.
The amount of moves will give you the exponent value.
decimal notation scientific notation
13
November 02, 2015
An example of a really big number. Please write it in scientific notation.
As the planets orbit the sun, the closest Pluto gets to Earth is approximately 2,700,000,000 miles.
CC 2.9 Scientific Notation CJ.notebook
14
0.000000034
0.0000000005609
0.000000000064
0.007 Move the star to count the number of decimal places.
The amount of moves will give you the exponent value.
decimal notation scientific notation
15
4.8 x 10
1.2 x 10
9 x 10
7.1034 x 10
The exponent tells you how many decimal places you need to move.
decimal notationscientific notation
16
November 02, 2015
An example of a really small number. Please write it in scientific notation.
Human fingernails grow at a rate of about 0.00286 inches per day.
CC 2.9 Scientific Notation CJ.notebook
17
November 02, 2015
An example of a really small number. Please write it in scientific notation.
The thickness of a red blood cell is approximately 0.0003125 of an inch.
CC 2.9 Scientific Notation CJ.notebook
18
19
20
November 02, 2015
Scientific Notation Toss Players - Materials: Two 6-sided die One whiteboard for each player Goal: Make the largest numbers possible written in scientific notation
Directions: 1. Each player rolls the dice 3 times and writes each result in scientific notation.
2. Players convert their numbers from scientific notation to standard notation. Then they order the numbers from largest to smallest.
3. Players compare lists. The player who has the largest number wins. In case of a tie, they roll a fourth time.
Ex. Ann rolls: 2 and 4 5 and 3 1 and 6
Ann writes: 2 * 10 3 * 10 1 * 10 20,000 300,000 1,000,000
Ann orders: 1,000,000 300,000 20,000
Whoever has the largest of the numbers wins.
21
22
Did we reach our Target????
By the end of today's lesson, we should be able to...
• Use Scientific Notation
CC 2.9 Scientific Notation CJ.notebook
23
24
Sign/Return
25
26
27
28
29
30
31
32
November 02, 2015
We are off to the Decimal Races... Get your whiteboards ready
Attachments
ScientificNotationQuestions.notebook
images/BlueQuestionBox(1).png
metadata.xml
preview.png
page1.svg
Dec 13-1:41 PM © 2008 SMART Technologies ULC. All rights reserved. The Senteo logo and the SMART logo are trademarks or registered trademarks of SMART Technologies ULC in the U.S. and/or other countries. www.education.smarttech.com Scientific Notation Scientific Notation Grades: Subject: 6-8 Mathematics
page2.svg
Dec 13-3:02 AM True False A number in scientific notation is always written in the form C x 10 n , where C is an integer called the coefficient and n is a whole number called the exponent . 1 True or False <persistencedata><PersistenceProperties id="CollapsedLocation"><x>513</x><y>23</y></PersistenceProperties></persistencedata>
page3.svg
Dec 13-3:02 AM True False When a number in scientific notation is written with a negative exponent, it means the number is greater than 1. 2 True or False <persistencedata><PersistenceProperties id="CollapsedLocation"><x>513</x><y>23</y></PersistenceProperties></persistencedata>
page5.svg
Dec 13-3:02 AM Which of the following equations are written in correct scientific notation? 3 A 37.64 x 10 -5 B 6.5 x 10 -23 C 235.06 x 10 12 D 6.732 x 10 23 Multiple answer <persistencedata><PersistenceProperties id="CollapsedLocation"><x>512</x><y>24</y></PersistenceProperties></persistencedata>
page0.svg
Dec 13-3:02 AM 4 Which of the following is the correct scientific notation for 2,340,000? A 2.34 x 10 6 B 234 x 10 5 C 23.4 x 10 6 D 2.34 x 10 5 Multiple choice <persistencedata><PersistenceProperties id="CollapsedLocation"><x>510</x><y>25</y></PersistenceProperties></persistencedata>
page4.svg
Dec 13-3:02 AM 5 Which of the following is the correct scientific notation for 0.00028? A 2.8 x 10 -4 B 0.28 x 10 -4 C 28 x 10 -4 D 2.8 x 10 -5 Multiple choice <persistencedata><PersistenceProperties id="CollapsedLocation"><x>510</x><y>25</y></PersistenceProperties></persistencedata>
page13.svg
Dec 13-3:02 AM 6 Which of the following is the correct decimal notation of 6.67 x 10 5 ? A 66,700 B 667,000 C 6,670,000 D 6,670 Multiple choice <persistencedata><PersistenceProperties id="CollapsedLocation"><x>510</x><y>25</y></PersistenceProperties></persistencedata>
page9.svg
Dec 13-3:02 AM 7 The speed of light in a vacuum is approximately 186,000 miles per second. Convert this number into scientific notation. A 18.6 x 10 -5 miles/second B 186 x 10 3 miles/second C 1.86 x 10 5 miles/second D 1.86 x 10 4 miles/second Multiple choice <persistencedata><PersistenceProperties id="CollapsedLocation"><x>510</x><y>25</y></PersistenceProperties></persistencedata>
page10.svg
Dec 13-3:02 AM Convert 9.32 x 10 8 into decimal notation. 8 Numeric <persistencedata><PersistenceProperties id="CollapsedLocation"><x>512</x><y>23</y></PersistenceProperties></persistencedata>
page11.svg
Dec 13-3:02 AM Which of the following decimals have been correctly converted into scientific notation? 9 A 7.12 x 10 8 = 712,000,000 B 3.14 x 10 6 = 314,000,000 C 4.32 x 10 -8 = 0.0000000432 D 9.1 x 10 -4 = 0.0091 Multiple answer <persistencedata><PersistenceProperties id="CollapsedLocation"><x>512</x><y>24</y></PersistenceProperties></persistencedata>
page12.svg
Dec 13-3:02 AM Convert the following equation into decimal notation: (5.6 x 10 8 ) x (3.2 x 10 -5 ) 10 Numeric <persistencedata><PersistenceProperties id="CollapsedLocation"><x>512</x><y>23</y></PersistenceProperties></persistencedata>
SMART Notebook
Page 6: Target Goal
Page 7: Message 2.9
Page 9: Journal 72
Page 11: SN to dec pos exxponents
Page 12: Dec to SN pos exponent
Page 13: Earth to Pluto
Page 14: Dec to SN neg exponents
Page 15: SN to Dec Neg Exponents
Page 16: Fngernails
Page 18: 73
Page 19: Notes
Page 22: Target check
Page 27: Other Resources
Page 30: masters 60
Page 31: masters 61
Page 32: CC - Races
