CC 2.9 Scientific Notation CJ.notebook. November 02, Lesson 2.9. Scientific Notation

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Transcription:

Lesson 2.9 Scientific Notation 1

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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 6

Math Message 2.9 In lesson 2 4, you multiplied numbers by powers of 10. Review your answers to Problems 1 3 on journal page 56. Then find the following products: 6 3 9 6 5 * 10 4 * 10 9 * 10 3 * 10 7

Powers of 10 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? 8

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Sort the given values. Written in proper scientific notation Not written in proper scientific notation 10

Scientific notation is used to write really big numbers. scientific notation decimal notation 7.82 x 10 3.04 x 10 3 8 The exponent tells you how many decimal places you need to move. 5 x 10 6.2103 x 10 4 10 11

Scientific notation is used to write really big numbers. decimal notation scientific notation 123,000,000,000 45,000,000 Move the star to count the number of decimal places. The amount of moves will give you the exponent value. 67,800,000,000,000 9,000 12

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. 13

Scientific notation is used to write really small numbers. decimal notation scientific notation 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. 14

Scientific notation is used to write really small numbers. scientific notation decimal notation 4.8 x 10 1.2 x 10 6 12 The exponent tells you how many decimal places you need to move. 9 x 10 2 7.1034 x 10 5 15

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. 16

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. 17

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nine 19

Players - Scientific Notation Toss 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. 20

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Did we reach our Target???? By the end of today's lesson, we should be able to... Use Scientific Notation Convert between standard and scientific notations 22

Vocabulary Update Unit 2 Parent Letter 23

Due tomorrow : Math Boxes 2.5 Study Link 2.5 Sign/Return 24

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Other Resources and Links 27

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More Scientific Notation practice Smartnotebook 29

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We are off to the Decimal Races... Get your whiteboards ready 32

Attachments ScientificNotationQuestions.notebook