November 09, 2015
Section 4.2 and 4.3:
Using Scientific Notation to Describe Very
Large and Very Small Quantities
What's the difference?
Standard Form
verses
Scientific Notation
Numbers we are familar writing!
Numbers used by scientists for really large or
really small values.
November 09, 2015
Example 1: Writing LARGE numbers in Scientific
Notation
One astronomical unit (AU) is the average distance
between Earth and the sun. It is approximately 93
million miles. Express this distance in scientific
notation.
Example 2: Writing LARGE numbers in Scientific
Notation
A. Write 7,800 in scientific notation.
B. Write 300 in scientific notation.
November 09, 2015
Example 2: Writing LARGE numbers in Scientific
Notation
C. Write 5 in scientific notation.
Example 3: Writing SMALL numbers in
Scientific Notation
Human eyes are sensitive to only a very small region
of the electromagnetic spectrum called visible light.
The violet wavelength measures 0.0000004m.
Express the wavelength of violet light in scientific
notation.
November 09, 2015
Example 4: Writing SMALL numbers in
Scientific Notation
A. Write 0.0000345 in scientific notation.
B. Write 0.00104 in scientific notation.
C. Write 0.53 in scientific notation.
Example 5: Writing LARGE numbers in
Standard Form
The estimated age of the universe is 1.37 x 1010 years.
Express this age in standard form.
November 09, 2015
Example 6: Writing LARGE numbers in
Standard Form
A. Write 4.56 x 104 in standard form.
B. Write 9.903 x 107 in standard form.
Example 7: Writing LARGE numbers in
Standard Form
The list below shows numbers of bacteria in four colonies in a
microbiology lab. Estimate each number in scientific notation using
a single digit for the first factor. Then determine whether each
statement is true or false.
Colony A: 79,854,000
Colony B: 2,124,000
Colony C: 6,180,000
Colony D: 397,000
November 09, 2015
Example 8: Writing SMALL numbers in
Standard Form
The rate at which Earth's tectonic plates move varies
around the world. One of Earth's plates moves about
1.23 x 10-2 cm per day. Express the rate in standard
form.
Example 9: Writing SMALL numbers in
Standard Form
A. Write 5.89 x 10-6 in standard form.
B. Write 8.524 x 10-8 in standard form.
C. Write 1.075 x 10-1 in standard form.
November 09, 2015
Example 10: Writing SMALL numbers in
Standard Form
A. Write 4 x 100 in standard form.
B. Write 7.6 x 100 in standard form.
Example 11: Writing SMALL numbers in
Standard Form
The diameters of human cells photographed with a microscope in one
lab are shown (photos not to scale). Estimate each number in
scientific notation using a single digit for the first factor. Then fill in the
blanks.
A. A ____ cell is about 6 times as large as a white blood cell.
B. A cheek cell is about ____ times as large as a red blood cell.
C. A ___ cell is about 1.25 times as large as a ____ cell.
November 09, 2015
Classwork/Homework
What you do not finish during class, will become
homework! Hopefully see you tomorrow :)
Pearson - Section 4.2 - G AND
Pearson - Section 4.3 - G