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Scientific Notation
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210,000,000,000,000,000,000,000 miles(22 zeros)
This number is written in standard form. When numbers get this large, it is easier to write them in scientific
notation.
How wide is our universe?
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Scientific Notation
A number is expressed in scientific notation when it is in the form
a x 10n
where a is between 1 and 10and n is an integer
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Partner Talk Determine which ones are in
Scientific Notation.
0.4 x 106
1.3 x 103
10 x 107
7.45 x 108 1 x 10-3
5.0 x 10-
5
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Writing Numbers in Scientific Notation
a. 40,000 b. .000137 c. 4,030
d. 0.028 e. 78 f. 0.548
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a. 6.73 x 106
Is this going to be a big or small number?
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b. 5.925 x 102 c. 5.0 x 108
Express in Standard Form
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Is this going to be a big or small number?
d. 2.4 x 10-3
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e. 6.832 x 10-5 f. 3.2 x 10-1
Express in Standard Form
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g. Multiply
3 x 10-7 and 9 x 103
Multiply With Scientific Notation
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g. Multiply
3 x 10-7 and 9 x 103
Multiply With Scientific Notation
You try…4 x 104 and 6 x 106