Lesson #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 are4 places to the leftof the decimal.

a) 5600POSITIVE EXPONENT NEGATIVE EXPONENT

=5.6 x 1000=5.6 x 103

103 because there are

There are 3 places tothe 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

SolutionsDecimal Notation Scientific Notation

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

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

SolutionsDecimal 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