Transcript Scientific Notation

10 August 20151
• Convert 33km to centimeters (cm)
Show all steps and work!!
• (4x1012) x (3x1014) = ?
8 x 1018
Hint: Solve the top
first
What is the difference between the
measurement 14m and 14.00m
Scientific Notation
• -Scientists often work with very large or very
small numbers
• -For example light travels at
300,000,000 meters per second
• -On the other hand a snail on
average travels about 0.00086 meter
per second
• Scientific Notation is a way of expressing a
number between 1 and 10 and a power of 10!!!
Scientific Notation
• Example: 300,000,000 is written in scientific
notation as 3.0 X 108
• The exponent 8 tells you that the decimal
point is really 8 places to the right of the # 3
• For numbers less than one they will have a
negative exponent
• Example: 0.00086 is written as 8.6 X 10-4
• The negative 4 exponent tells you how many
places to the left 8.6
Scientific Notation
• When multiplying numbers in scientific
notation, you multiply the numbers that
appear before the multiplication signs and
then ADD the exponents
• Example: To calculate how far
light travels in 500 seconds, you
multiply the speed of light by the
number of seconds
Example
• ( 3.0 X 108 m/s) X (5.0 x 102 s)
10
= 15 x 10 m
11
= 1.5 x 10 m
Scientific notation should
always have a ones column
value then a decimal
Scientific Notation
• When dividing numbers written in scientific
notation, you divide the numbers before the
exponential terms and subtract the exponents
• Example: To calculate how long it
takes for light from the sun to
reach Earth, you would perform
division
Example
• ( 3.0 X 108 m/s)
1.49 x 1011 m
-3
= 2.0x 10 s