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World 1-5 Scientific Notation

When numbers get really ______ or

For this reason we use Scientific Notation.

really ______ it is inconvenient to write out all of the zeros.

Big

small

eg. 1 Express using scientific notation

b) 0.00042

= 4.2 /10000 = 4.2 x 10-4

104 because there are 4 places to the left of the decimal.

a)  5600

POSITIVE EXPONENT

NEGATIVE EXPONENT

=5.6 x 1000 =5.6 x 103

103 because there are There are 3 places to the right of the decimal.

http://www.youtube.com/watch?v=_WEL117xXpw&feature=related

“Use the video link below to help you complete the table on the following page.”

Table 1 - Positive Exponents Planets and Stars.

Decimal Notation Scientific Notation Earth Jupiter Sun Aldebaran Betelgeuse VV Cephei

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  

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http://learn.genetics.utah.edu/content/begin/cells/scale/

“Use the interactive link below to help you complete the table on the following page.”

Table 2 - Negative Exponents Cells, Viruses and Proteins

Decimal Notation Scientific 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

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

World 1-5