A18­2ScientificNotation.notebook
January 14, 2016
Algebra 1
Ch.8 Notes Page 47
P47 8­2 Scientific Notation
Sep 2­8:31 AM
Scientific Notation
3.8 x 108
Used to make really big or small numbers easier to work with in Math and Science.
Distances to Planets. Sizes of an Atoms. Speed of Light.
a x 10n
1. The first Digit has to be from 1 to 9.
2. x 10n tells you how many places to move the decimal.
4,300,000,000 = ?
Jan 21­8:01 AM
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A18­2ScientificNotation.notebook
January 14, 2016
Converting to Scientific Notation
Count how many places to move the decimal.
If it moves to the left, the Exponent will be Positive.
The Number would have to get bigger to get back to the original.
32,000,000 = 540,000,000 = If it moves to the right, the Exponent will be Negative.
The Number would have to get smaller to get back to the original.
.0000000032 = .000054 = Jan 22­8:09 AM
Converting to Decimal (Standard) Notation
The Exponent tells you which way to move the decimal.
Positive (The number gets Bigger ­ Move to the Right)
Negative (The number gets Smaller ­ Move to the Left)
3.2 x 105 = 5.4 x 10­4 = Jan 22­8:09 AM
2
A18­2ScientificNotation.notebook
January 14, 2016
Examples:
Are these in Scientific Notation?
.23 x 103 65.2 x 104
Jan 22­8:19 AM
Putting Numbers in Order with Scientific Notation
Write the numbers in Scientific Notation first.
The smallest exponent represents the smallest number.
The largest exponent represents the largest number.
.052 x 107 5.12 x 105
53.2 x 101
5340
Jan 22­8:22 AM
3
A18­2ScientificNotation.notebook
January 14, 2016
Multiplying with Scientific Notation
7 x (4 x 105)
.5 x (1.2 x 10­3)
2.5 x (6 x 103)
Jan 22­8:09 AM
4