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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 108

843 000 = 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 =  5.69

5.69 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.

 

 

Press Reload/Refresh if calculator does not function.

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 wpeAF.jpg (718 bytes) 10 wpeB1.jpg (772 bytes) wpeB2.jpg (775 bytes) wpeB3.jpg (732 bytes) 4800
4.8 x 104 = 4.8 wpeAF.jpg (718 bytes) 10 wpeB1.jpg (772 bytes) wpeB6.jpg (768 bytes) wpeB3.jpg (732 bytes) 48 000
4.8 x 105 = 4.8 wpeAF.jpg (718 bytes) 10 wpeB1.jpg (772 bytes) wpeB7.jpg (773 bytes) wpeB3.jpg (732 bytes) 480 000
4.8 x 106 = 4.8 wpeAF.jpg (718 bytes) 10 wpeB1.jpg (772 bytes) wpeB8.jpg (765 bytes) wpeB3.jpg (732 bytes) 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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Comments to:  Jim Reed
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