2.9 Scientific Notation
A number is in Scientific Notation when:
1st factor is
between
1 and 10
x
2nd factor is an
integer power
of ten
(including 1, but not including 10)
5
4.3
x
10
5.7
x
10
-6
Are these numbers in scientific notation?
If not, explain why.
10
4.10034 x 8
8
0.435 x 10
10 x 10
-5
6.032 x 10
-9
To convert from Scientific Notation to Standard Notation:
*Look at the power of ten to tell how
many places and which way to move the
decimal point.
Examples:
4.12 x 10
2
6
4.12 x 10
-2
4.12 x 10
-8
4.12 x 10
*If the power of 10 has a positive exponent, move the
decimal point that many places to the
.
If the power of 10 has a negative exponent, move the
decimal point that many places to the
.
To convert from Standard Notation to Scientific Notation:
*Determine the factor between 1 and 10.
Then determine the power of ten by counting the
number of places the decimal was moved.
Examples:
32,000,000
0.00000000712
Now you try...
Write each in standard notation:
8 x 105
7.1 x 10
-4
8
3.14 x 10
Write each in scientific notation:
41,000,000,000
0.000000643
1,370,000
2 billion
The boiling point temperature of a certain element is
3.5 x 103 degrees Celsius.
The boiling point of another element is 2.0 x 102 times
hotter.
What is the boiling point of this second element?