Transcript Slide 1

Algebra 1
Ch.8 Notes Page 54
P54 8-2 Scientific Notation
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 and 9.
2. x 10n tells you how many places to move the decimal.
4,300,000,000 = ?
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 =
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 10-4 =
Examples:
Are these in Scientific Notation?
.23 x 103
65.2 x 104
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
Multiplying with Scientific Notation
7 x (4 x 105)
.5 x (1.2 x 10-3)
2.5 x (6 x 103)