Scientific Notation and Graphing

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Scientific Notation and
Graphing
Scientific Notation
 Use to express very large or small numbers
 60221415000000000000000 or 6.02x1023
 0.000000000000000000435 or 4.35x10-19
Scientific Notation
 Scientific (Exponential) notation is a system in which
a number is expressed as a product of a number
between 1 and 9 multiplied by 10 raised to a power
(exponent).
Scientific Notation
 C x 10n
 C= the coefficient= only the significant figures are used
 n= the exponent (power)= location of the decimal point
Scientific Notation
1. The value of the exponent is determined by counting
the number of places the original decimal point must
be moved to give the coefficient. Remember that the
coefficient must be a number from 1 to 9.
Scientific Notation
2. If the original number (in standard notation)is
greater than 1, the exponent is a positive number.
60221415000000000000000
or
6.02x1023
3. If the original number is less than 1, the exponent
is a negative number.
0.000000000000000000435 or
4.35x10-19
Example 1
 Write 628,000 in scientific notation
a. Determine the number of sig figs __
3
b. Write the coefficient ____
6.28
c.Determine the number of places to move the decimal point __
628000  larger than 1 = positive exponent
5
Answer =
6.28 x 105
Example 2
 Write 0.00260 in scientific notation
a. Determine the number of sig figs __
3
b. Write the coefficient ____
2.60
c. Determine the number of places to move the decimal point __
0.00260  smaller than 1 = negative exponent
3
Answer =
2.60 x 10 -3
Write the Following in Scientific Notation
a. 2305.7
2.3057 x 103
b. 3,000,000
3 x 106
c. 300.
3.00 x 102
d. 0.00010
1.0 x 10-4
e. 402.0
4.020 x 102
f.
0.1005
1.005 x 10-1
g. 3.57
3.57 or 3.57 x 100
Scientific Notation
 To convert from scientific notation back to standard
(ordinary) notation:


Simply move the decimal point the number of places indicated
by the exponent.
Positive exponent= make number larger


Move decimal to the right 
Negative exponent= make number smaller

Move decimal to the left 
Write the Following in Standard Notation
a. 3.4 x 103
3400
b. 8.10 x 10-2
0.0810
c. 5.600 x 103
5600.
d. 6.5 x 10-4
0.00065
e. 5 x 106
5,000,000
Graphing
Graphing
a. Circle graph (also called pie chart)
Used to show parts of a fixed whole. Usually parts are labeled as
percents with the circle representing 100%.
Graphing
b. Bar graph- good for showing quantitative data or
data that you can count at exact intervals
Ex. Rain fall total each month
Graphing
 Line graph- good for showing relationship between
two variables
Independent variable is plotted on the X axis
 Dependent variable is plotted on the Y axis
Best fit line is drawn so that as many points fall above the line as
below

Graphing
 Directly related
 Positive slope
 As X increases, Y increases
Graphing
 Inversely related
 Negative slope
 As X value increases, Y decreases
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