Scientific%20Notation

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Scientific Notation
Scientific Notation A number written as the
product of two factors in the form a x 10 ,
where n is an integer and
n
For example
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Scientific Notation
Additional Examples
Is each number written in scientific notation?
If not, explain.
a. 0.46 ? 104
No 0.46 is less than 1.
b. 3.25 ? 102
yes
c. 13.2 ? 106
No 13.2 is greater than 10.
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Scientific Notation
Lesson 8-2
Additional Examples
Write each number in scientific notation.
a. 234,000,000
b. 0.000063
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Scientific Notation
Lesson 8-2
Additional Examples
Write each number in standard notation.
a. elephants mass 8.8 ? 104 kg
88,000
b. ants mass 7.3 ? 105 kg  
0.000073
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Scientific Notation
Lesson 8-2
Additional Examples
List the planets in order from least to greatest
distance from the sun.
Order the powers of 10. Arrange the decimals with
the same power of 10 in order.
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Scientific Notation
Lesson 8-2
Additional Examples
(continued)
3.8 ? 107 9.3 ? 107 4.84 ? 108 4.5 ? 109 Mercury
Earth Jupiter Neptune
From least to greatest distance from the sun, the
order of the planets isMercury, Earth, Jupiter,
and Neptune.
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Scientific Notation
Lesson 8-2
Additional Examples
Order 0.0063 ? 105, 6.03 ? 104, 6103, and 63.1 ?
103 from least to greatest.
Order the powers of 10. Arrange the decimals with
the same power of 10 in order. 6.3 ? 102 6.103 ?
103 6.03 ? 104 6.31 ? 104
Write the original numbers in order. 0.0063 ?
105 6103 6.03 ? 104 63.1 ? 103
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Scientific Notation
Lesson 8-2
Additional Examples
Simplify. Write each answer using scientific
notation.
6(8 ? 104)
a.
0.3(1.3 ? 103)
b.