Scientific Notatation PowerPoint

• Answer! 40,100,000,000,000 = 4.01 x 1013
Copyright © 2010 Ryan P. Murphy

• RED SLIDE: These are notes that are
very important and should be recorded in
your science journal.
• BLACK SLIDE: Pay attention, follow
directions, complete projects as described
and answer required questions neatly.

-Please make notes legible and use indentations
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-Example of indent.
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Focal Point
Focal Length

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• How many kilometers away from the earth
is the sun?

• Answer! 1.46 x 108

 Scientific notation: A method for
expressing, and working with, very large
or very small numbers.

 To write a number in scientific notation:
 Put a decimal point after the first digit and
drop the zeroes.
 146,000,000 = 1.46

 To write a number in scientific notation:
 Put a decimal point after the first digit and
drop the zeroes.
 146,000,000 = 1.46 x 108

 To find the exponent, count the number of
places from the decimal to the end of the
numbers.
 In 1.46000000 there are 8 places.
1
 Therefore we write 146,000,000 as 1.46 x 108

numbers.

numbers.
12345678

• To find the exponent, count the number of
numbers.
– In 1.46000000 there are 8 places.
– Therefore we write 146,000,000 as 1.46 x 108

numbers.
The first number
1.46 is called the
coefficient. It must
be greater than or
equal to 1 and less
than 10

numbers.
The first number
1.46 is called the
coefficient. It must
be greater than or
equal to 1 and less
than 10
The second number is
called the base . It must
always be 10 in scientific
notation. The base number
10 is always written in
exponent form.

numbers.
Note that the places
start after the
decimal point.

numbers.
– In 1.46000000
We don’t just add 8
zero’s after the six!

numbers.
– In 1.4600000000

numbers.
– In 1.4600000000
Learn more about scientific notation at…
http://www.purplemath.com/modules/exponent3.htm

• Activity Sheet available (Scientific Notation)

• Other Option: Please use the white boards
and dry erase markers to show your
answer.
– You will make errors in the beginning but
keep with it and don’t check out.

• Activity! Practice Scientific Notation.

• Activity! Practice Scientific Notation.
– What is 567,000 in scientific notation?

• 567000
• 5.67000
• 5.67

• 567000
• 5.67000
• 5.67 x 105

• Activity! Scientific Notation Practice.
– What is 250,000 in scientific notation?

• 250,000 = 2.50000

• 250,000 = 2.50000
• = 2.5 x 10_

• 250,000 = 2.50000
• = 2.5 x 105

– This is the distance from Earth to the nearest
star Proxima Centauri.

• What is 40,100,000,000,000 in scientific
notation?
– This is the distance from Earth to the nearest
star Proxima Centauri.

• Answer! 40,100,000,000,000

– This is the approximate age of the universe in
years.

• What is 15,000,000,000 in scientific
notation?
– This is the approximate age of the universe in
years.

• Answer! 15,000,000,000 = 1.5 x 1010

• Video! Quick Intermission;
– The relative size of stars compared to our
own sun.
– Prepare to feel really small.

– A projected figure for human population 2025

• What is 8,000,000,000 in scientific
notation?
– A projected figure for human population 2025

• Answer! 8,000,000,000 = 8 x 109

• Try this one! What is 9.9 x 107?
– This is the distance from the earth to Mars in
Kilometers.

• Answer! 9.9 x 107 = 99,000,000

• Answer! 9.9 x 107 = 99,000,000
– There needs to be six places after the
decimal. Since the .9 is the first, you would
add 6 zeroes to equal 107.

– The distance in kilometers from the earth to
the Moon.

• What is 3.844 x 105 ?
– The distance in kilometers from the earth to
the Moon.

• Answer! 3.844 x 105 is 384,400 km

– The approximate circumference of the earth.

• What is 4.0075 X 104 km

• Answer 40,075 km

• What is (2 x 104) (4 x 103) ?

• What is (2 x 104) (4 x 103) ?
1) Multiply the coefficients
• What is (2 x 104) (4 x 103)

• What is (2 x 104) (4 x 103) ?
2) Add the exponents (base 10 remains)
• What is (2 x 104) (4 x 103)

• What is (2 x 104) (4 x 103) ?
Example 1: (3 x 104)(2x 105) = 6 x 109
• What is (2 x 104) (4 x 103)

• What is (2 x 104) (4 x 103) ?
Example 1: (3 x 104)(2x 105) = 6 x 109
• What is (2 x 104) (4 x 103)
+

• What is (2 x 104) (4 x 103) ?
• Answer! 8 x 107 = multiply =Add

• What is (2 x 104) (4 x 103) ?
• Answer! 8 x 107 or 80,000,000

• What is (2 x 104) (3 x 104) ?

• What is (2 x 104) (3 x 104) ?
• (6) x (108)

• What is (2 x 104) (3 x 104) ?
• (6) x (108)
• Answer = 600,000,000

• Which one of the choices below is the
smallest number?
• A) (7 x 104)
• B) (4 x 103)
• C) (3 x 108)
• D) (6 x 103)
• E) (9 x 10-3)

• Which one of the choices below is the
smallest number?
• A) (7 x 104)
• B) (4 x 103)
• C) (3 x 108)
• D) (6 x 103)
• E) (9 x 10-3)
– Because (9 x 10-3) is a negative number.
This is very small.

• Scientific notation can be used for very
small numbers as well.

– The decimal number 0.00000065 written in
scientific notation would be 6.5 x10-7

– The decimal number 0.00000065 written in
scientific notation would be 6.5 x10-7
7 places

• What is 0.00053 in scientific notation?

• Answer! 0.00053 = 5.3 x 10-4

• What is 0.00000042 in scientific notation?

• Answer! 0.00000042 is 4.2 × 10–7

• What is 5.73 x 10-4?

• Answer! 5.73 x 10-4 is 0.000573

• What is
9,780,000,000,000,000,000,000,000,000
in scientific notation?

• Answer!
• 9,780,000,000,000,000,000,000,000,000
• 9.78 x 1027

• A light-year is a unit of distance.
– It is the distance that light can travel in one year.
(9,500,000,000,000 kilometers.)

(9,500,000,000,000 kilometers.)
– Light moves at a velocity of about 300,000
kilometers (km) each second.

(9,500,000,000,000 kilometers.)
– Light moves at a velocity of about 300,000
kilometers (km) each second.
– So in one year, it can travel about 10 trillion km.

• Nice Work! Please clean white board and
cap marker.

cap marker.
– Place in a pile at the edge of your table.

cap marker.
– Place in a pile at the edge of your table.
“Let’s work together
to keep this room
clean and
organized.”

• Link! Size Scale of the Universe (Flash)
– http://inciswf.com/589217_scale_of_universe_
enhanced.swf

• Video Link! Units Crash Course.
– (Optional and Adanced)
– http://www.youtube.com/watch?v=hQpQ0hxV
NTg

Areas of Focus within The Science Skills Unit:
Lab Safety, Lab Safety Equipment, Magnification, Microscopes,
Stereoscopes, Hand Lenses, Electron Microscopes, Compound
Light Microscopes, Parts of a Compound Microscope, Metric
System, International System of Units, Scientific Notation, Base
Units, Mass, Volume, Density, Temperature, Time, Other SI Units,
Observation, Inferences, Scientific Method, What is Science? What
makes a good scientist? Types of Scientists, Branches of Science,
Scientific Method, Hypothesis, Observations, Inferences.
Hundreds of PowerPoint samples, the bundled homework package, unit notes,
and much more can be previewed at…
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• This PowerPoint is on small part of my Science Skills Unit. This unit
includes…
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discussion questions, and much more.
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• http://sciencepowerpoint.com/Science_Introduction_Lab_Safety_Me
tric_Methods.html

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about each of the units in this curriculum
– These units take me about four years to complete
with my students in grades 5-10.
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Ryan Murphy M.Ed
www.sciencepowerpoint@gmail.com

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