Scientific Notation1.notebook
September 01, 2014
Scientific Notation
1) Students will write numbers in scientific notation.
2) Students will write numbers in standard form.
Lesson objectives
Teachers' notes
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Scientific Notation1.notebook
September 01, 2014
Standards: • MCC8.EE.3 Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other. For example, estimate the population of the United States as 3 × 108 and the population of the world as 7 × 109, and determine that the world population is more than 20 times larger.
• MCC8.EE.4 Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities (e.g., use millimeters per year for seafloor spreading). Interpret scientific notation that has been generated by technology.
Lesson objectives
Teachers' notes
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Scientific Notation1.notebook
September 01, 2014
Pull
Hint
How far do you think the planet Pluto is from the sun?
Make a guess and write it down on a piece of paper.
Ea
93,0
fro
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Scientific Notation1.notebook
September 01, 2014
Touch
to reveal
Want to change your guess???
Pull
Answer
Pluto is about 39 times as far from the Sun as Earth is. Pluto is about 3,647,000,000 miles from the Sun
Write this number down 15 times on your paper.
Click to reveal
Just Kidding!
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Scientific Notation1.notebook
September 01, 2014
Im
i
m
Pull
­ Scientists study these big numbers all the time.
­ They don't like writing big numbers either!
­ So, they use ...
The 8 million dollar mistake
Click to reveal
Scientific Notation
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Scientific Notation1.notebook
September 01, 2014
(Write this down!!!)
Scientific Notation ­ a shorter way to write a big number
n
a x 10
n tells how many
places you moved the decimal
a is a number
between 1 and 10
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Scientific Notation1.notebook
September 01, 2014
(write everything on this page down)
Write each number using scientific notation.
3,647,000,000 right now, the decimal is here
Move the decimal to form a number between 1 and 10
3,647,000,000
*move 9 places to the left
*forms the number 3.647 which is between 1 and 10
9
Click to reveal
3.647 x 10
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Scientific Notation1.notebook
September 01, 2014
Write using scientific notation.
56,000,000,000,000
13
Click to reveal answer
5.6 x 10
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Scientific Notation1.notebook
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Write using scientific notation.
2,305,000,000,000
Click to reveal answer
2.305 x 1012
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September 01, 2014
Scientists also use scientific notation for really, really, small numbers.
*Still need to move the decimal to form a number between 1 and 10
(Write the rest of this page down)
Write in scientific notation.
.00000173
.00000173
6 places to the right
­6
Click to reveal
1.73 x 10 *Exponent is negative when decimal moves to the right, or original number is smaller
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Scientific Notation1.notebook
September 01, 2014
Write in scientific notation.
.000000502
­7
Click to reveal
5.02 x 10
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September 01, 2014
Can you work backwards???
Write in standard form.
3.78 x 106
positive exponent will make number get bigger
00
3.78 0s0lide move decimal right 6 places
Click to reveal
3,780,000
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Scientific Notation1.notebook
September 01, 2014
Write in standard form.
1.0654 x 10
­7
number will get smaller since exponent is negative
0 0 0 0 1.0654
0 0Slide
move 7 places to the left
Click to reveal
.00000010654
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Scientific Notation1.notebook
Sort the given values.
September 01, 2014
Written in proper scientific notation
Not written in proper scientific notation
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Scientific Notation1.notebook
September 01, 2014
Scientific notation is used to write really big numbers.
decimal notation
123,000,000,000
45,000,000
scientific notation
Move the star to count the number of decimal places.
The amount of moves will give you the exponent value.
67,800,000,000,000
9,000
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Scientific Notation1.notebook
September 01, 2014
Scientific notation is used to write really big numbers.
scientific notation
7.82 x 10
3.04 x 10
5 x 10
6.2103 x 10
decimal notation
3
8
The exponent tells you how many decimal places you need to move.
4
10
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Scientific Notation1.notebook
September 01, 2014
An example of a really big number. Please write it in scientific notation.
As the planets orbit the sun, the closest Pluto gets to Earth is approximately 2,700,000,000 miles.
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Scientific Notation1.notebook
September 01, 2014
An example of a really big number. Please write it in scientific notation.
The speed of light in a vacuum is approximately 186,000 miles per second.
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Scientific Notation1.notebook
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Scientific notation is used to write really small numbers.
decimal notation
scientific notation
0.000000034
0.0000000005609
0.000000000064
0.007
Move the star to count the number of decimal places.
The amount of moves will give you the exponent value.
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Scientific Notation1.notebook
September 01, 2014
Scientific notation is used to write really small numbers.
scientific notation
4.8 x 10
1.2 x 10
decimal notation
­6
The exponent tells you how many decimal places you need to move.
­12
­2
9 x 10
7.1034 x 10
­5
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Scientific Notation1.notebook
September 01, 2014
An example of a really small number. Please write it in scientific notation.
Human fingernails grow at a rate of about 0.00286 inches per day.
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Scientific Notation1.notebook
September 01, 2014
An example of a really small number. Please write it in scientific notation.
The thickness of a red blood cell is approximately 0.0003125 of an inch.
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How do you know that a number written in scientific notation will be really big or really small ?
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When do you write a negative exponent when converting to scientific notation?
September 01, 2014
When do you write a positive exponent when converting to scientific notation?
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Extra Practice
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Extra Practice
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