8.4 Scientific Notation
Homework
Any Questions?
Scientific Notation is a way to write a decimal (very large or small) using the powers
of 10 to replace the multiple zeros.
Decimal
Power of 10
Name
1, 000, 000
106
one million
1, 000
103
one thousand
1
100
one
.001
10-3
one thousandth
10-6
one millionth
.000001
Scientific Notation is written in the following form:
c x 10n
c = decimal number greater than 1 but less than 10
n = exponent for the power of 10
Example 1: From Scientific Notation to Standard Form
a. 3.67 x 104
b. 4.103 x 10-5
Answers:
a. 36, 700
b. .00004103
Example 2: From Standard Form to Scientific Notation
a. 24, 500
b. .000722
Answers:
a. 2.45 x 104
b. 7.22 x 10-4
Stand UP!
When I say go…
Pat your knees then touch your ear with your left hand
and your chin with your right. Pat your knees again and
touch your ear with your right hand and your chin with
your right… keep alternating.
5
Example 3: Operations w/Scientific Notation
Multiplying
(1.4 x 104) (7.6 x 103) =
(1.4 · 7.6) x (104 · 103) =
10.64 x 107
Final answer: 1.064 x 108
Dividing
1.2 x 10-1
=
4.8 x 10-4
1.2
x
10-1
4.8
=
10-4
.25 x 103
Final answer:
2.5 x 102
Practice
Rewrite the scientific notation in decimal form
Student of the Day
Practice
Rewrite the decimal in scientific notation in
Optical Illusion of the Day
http://www.michaelbach.de/ot/mot_Roget/index
.html
10
Practice
Evaluate the expression without a calculator. Write the answer in scientific notation.
Practice
Write the number in scientific notation
• Earth to Pluto
As the planets orbit the sun, the closest Pluto gets to Earth is
approximately 2,700,000,000 miles.
Homework
Pg. 422 #9-39 odds