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5.4 Scientific Notation
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Given a # in Standard Notation write it in Scientific Notation
Move decimal until the # is 1 ≤X <10 Multiply that # by 10 to a power The power will be the # of times you moved the decimal If the original # >1 positive power If the original # <1 negative power
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Write an equivalent expression using scientific notation:
3,200 3.2 103 Must be at least 1.0 and no more than …
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Write an equivalent expression using scientific notation:
0.0307 3.07 10-2 Must be at least 1.0 and no more than …
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Change from scientific notation to standard form: -Move the decimal the same amount of times as the power -Positive Power make the number bigger -Negative Power make the number smaller
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Change from scientific notation to standard form:
7.0 x 105 700,000
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Change from scientific notation to standard form:
4.8 x 10-3 0.0048
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Change from scientific notation to standard form:
1.8 x 10-4
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Multiply Using Properties
(3.0 x 105)(4.1 x 10-3) 12.3 x 102 1.23 x 103
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Divide Using Properties. Show your answer in scientific notation
0.5 x 10-13 5.0 x 10-14
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Divide Using Properties. Show your answer in scientific notation
2.0 x 103
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Divide Using Properties. Show your answer in scientific notation
0.3 x 107 3.0 x 106
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Homework Page 219 (2-40) even
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