Lesson #5Scientific Notation
When numbers get really BIG or
really small it is inconvenient to write
out all of the zeros.
For this reason we use Scientific Notation.
eg. 1 Express using scientific notation
a) 5600
b) 0.00042
=5.6 x 1000
=5.6 x 103
= 4.2 /10000
= 4.2 x 10-4
3 because there are
3 places to the right
The decimal place.
-4 because there are
-4 places to the left
of the decimal place.
“Use the video link below to help you complete the table on the following page.”
http://www.youtube.com/watch?v=_WEL117xXpw&feature=related
Table 1 - Positive Exponents Planets and Stars. (Round
your scientific notation answer to one decimal place)
Decimal Notation
Earth
Jupiter
Sun
Aldebaran
Betelgeuse
VV Cephei
Scientific Notation
Solutions
Decimal Nota,on
Scien,fic Nota,on
Earth
12 756 km
1.3 x 104 km
Jupiter
142 984 km
1.4 x 105 km
Sun
1 392 000 km
1.4 x 106 km
Aldebaran
59 770 000 km
6.0 x 107 km
Betelgeuse
903 500 000 km
9.0 x 108 km
VV Cephei
2 644 800 000 km
2.6 x 109 km
“Use the interactive link below to help you complete the table on the following page.”
http://learn.genetics.utah.edu/content/begin/cells/scale/
Table 2 - Negative Exponents Cells, Viruses and Proteins
(Round your scientific notation answer to one decimal place)
Decimal Notation
Salt Grain
0.005 m
Skin Cell
0.000 03 m
Chromosome
0.000 007 m
HIV Virus
0.000 000 130 m
Hepatitis B
0.000 000 045 m
Water Atom
0.000 000 000 275 m
Scientific Notation
Solutions
Decimal Notation
Scientific Notation
Salt Grain
0.005 m
5.0 x 10-3 m
Skin Cell
0.000 03
3.0 x 10-5 m
Chromosome
0.000 007
7.0 x 10-6 km
HIV Virus
0.000 000 130
1.3 x 10-7 km
Hepatitis B
0.000 000 045
4.5 x 10-8 km
Water Atom
0.000 000 000 275
2.8 x 10-10 km
Homework
pg. 40 #4-6, 8-9