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Scientific Notation Test
About Scientific Notation:

When we have really large or really small numbers, we generally use scientific notation. This type of notation is simply a compact way to display a number. In order to place a number in scientific notation, we revisit some properties of multiplication with 10.

Test Objectives:

•Demonstrate an understanding of multiplication/division by 10

•Demonstrate the ability to write a number in scientific notation

•Demonstrate the ability to perform operations with numbers in scientific notation

Scientific Notation Test:




#1:


Instructions: Write each number in scientific notation.


a) 972,000,000


b) 0.0000162


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#2:


Instructions: Write each number in scientific notation.


a) 5,331,000,000,000,000


b) 0.000000001050137


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#3:


Instructions: Write without exponents.


a) 4.78 x 105


b) 1.951 x 10-10


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#4:


Instructions: Write without exponents.


a) 3.18 x 100


b) 6.28 x 10-4


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#5:


Instructions: Write without exponents.


a) (12 x 10-4)(8 x 104)


b)


2.05 x 109
1.6 x 10-2

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Written Solutions:




#1:


Solution:


a) 9.72 x 108


b) 1.62 x 10-5


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#2:


Solution:


a) 5.331 x 1015


b) 1.050137 x 10-9


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#3:


Solution:


a) 478,000


b) 0.0000000001951


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#4:


Solution:


a) 3.18


b) 0.000628


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#5:


Solution:


a) 96


b) 128,125,000,000


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