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Grade 7:  The Learning Equation Math

11.03 Scientific Notation

 Number Concepts Refresher pp 6-7
Learning Outcomes:

The student will:

 Change a number to scientific notation 843 000 000 = 8.43 x 108843 000 = 8.43 x 105 843 = 8.43 x 102 84.3 = 8.43 x 101 8.43 = 8.43 x 100 Scientific notation is a product of a number between 1 and 10 and a power of 10. Change scientific notation to a number 5.69 x 100 =  5.695.69 x 101 =  56.9 5.69 x 102 =  569 5.69 x 103 =  5690 5.69 x 104 =  56 900 Scientific notation is a product of a number between 1 and 10 and a power of 10.

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Scientific Notation to Whole Numbers
Follow the directions to learn how to convert from scientific notation to whole numbers using the scientific calculator, then make your own examples.
4.8 x 103 = 4.8 10 4800
4.8 x 104 = 4.8 10 48 000
4.8 x 105 = 4.8 10 480 000
4.8 x 106 = 4.8 10 4 800 000

Review:

Scientific notation has the following form:

N X 10x

where N is a number greater than 1 but less than 10 and

x is an exponent of 10.

Scientific notation is a convenient way of writing very large or very small numbers:

 Standard Form Scientific Notaton 153 000 000 000 000 1.53 x 1014 49 000 000 000 000 000 000 4.9 x 1019 93 000 000 9.3 x 107 0.000 000 000 131 1.31 x 10-10 0.000 000 000 000 002 354 2.354 x 10-15 0.000 000 25 2.5 x 10-7

Try this!!

Enrichment:

 Key Terms: A-E F-J K-O P-R S-Z

standard notation, scientific notation, factor, digit, exponent, power of 10

Prerequisite Skills:

Place Value

Powers and Exponents:  Grade 7 Lesson 11.01

Expanded Notation and Decimals:    Grade 7 Lesson 11.02

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