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Bellringer
Order 3
5, 0.84, and 0.7 from least to greatest.
Bellringer
Order 3, 0.84, and 0.7 from least to greatest.
5
Write as decimals with the same number of places.
3 = 0.60
5
0.84 = 0.84
0.7 = 0.70
Graph the numbers on a number line.
0.84
0
0.2
0.4
0.60 < 0.70 < 0.84
0.6
0.8
1
Compare the decimals.
From least to greatest, the numbers are , 0.7,3
5
0.84.
Ch 2-8
Scientific Notation
Scientific
Notation
The first factor is greater than
or equal to 1, but less than 10
and the second factor is a
power of 10.
A short-hand way of
writing
large numbers without
writing all of the zeros.
5 x10
5x10
3
3
Standard
Form
A number written using digits
and place value .
.005
5,000
Tell whether or not the following numbers are
in scientific notation.
a.) .45 * 103
No because .45
is less than 1
b.) 7.15 * 10-5
Yes because 7.15 is greater
than or equal to 1 but less
than 10
c.) 56 * 102
No because 56 is
greater than 10
The Distance From the Sun to
the Earth
93,000,000
Write this number
in scientific
notation
Step 1
• Move decimal left
• Leave only one number in front of
decimal (so the number is greater
than or equal to 1 and less than 10)
Step 2
• Write number without zeros
Step 3
• Count how many places you moved
decimal
• Make that your power of ten
The power of
ten is 7 because
the decimal
moved 7 places.
• 93,000,000 --Standard Form
• 9.3 x 107 --Scientific Notation
Practice Problem
Write in scientific notation.
Decide the power of ten.
1)
2)
3)
4)
7
98,500,000 = 9.85 x 10?
64,100,000,000 = 6.41 x 10? 10
8
279,000,000 = 2.79 x 10?
4,200,000 = 4.2 x 10?
6
Express 0.0000000902 in
scientific notation.
Where would the decimal go to make the
number be between 1 and 10?
9.02
The decimal was moved how many
places?
8
When the original number is less than 1,
the exponent is negative.
9.02 x 10-8
More Practice Problems
On these, decide where the decimal will be moved.
7.34 x 10-8
1) 0.0000000734 = ______
8.7
2) 0.000000000087 = ______x
10-11
9
3) 0.0000000009 = _____
x 10-10
Complete Practice Problems
Write in scientific notation.
1) 0.0005170
2) 7,200,000
3) 802,000,000,000
1) 5.17 x 10-4
2) 7.2 x 106
3) 8.02 x 1011
Scientific Notation to
Standard Form
Move the decimal to the right
3.4 x 105 in scientific notation
3.40000 --- move the decimal to the right
if exponent is positive
340,000 in standard form
Scientific Notation to
Standard Form
Move the decimal to the left
3.4 x 10-5 in scientific notation
3.40000 --- move the decimal to the left
if exponent is positive
0.000034 in standard form
Write in Standard Form
• 6.27 x 10-6
• 9.01 x 104
• 0.000006270
• 90,100
Homework
• Pg 108
8-32 evens only
2.)
Classwork/Homework
Reteach 2-8 do all
Go over 1, 2, 9, & 10
together
Practice Sheet 2-8 do all
Homework
Pg 104 #8-26 evens only
#20, 22, 26
show work
Scientific Notation
• http://www.learnalberta.ca/content/mejhm/index.html?l=0&ID1=AB.
MATH.JR.NUMB&ID2=AB.MATH.JR.NUMB.EXPO&lesson=html/vid
eo_interactives/exponents/exponentsSmall.html Video
• http://www.learnalberta.ca/content/mejhm/index.html?l=0&ID1=AB.
MATH.JR.NUMB&ID2=AB.MATH.JR.NUMB.EXPO&lesson=html/obj
ect_interactives/patterning_the_powers_of_10/use_it.html Table
• http://hotmath.com/util/hm_flash_movie.html?movie=/learning_activit
ies/interactivities/sciNotation.swf&return_to=Algebra%20Activities%
20-%20Math%20Activities%20%20Hotmath&title=Scientific%20Notation practice
• http://janus.astro.umd.edu/cgi-bin/astro/scinote.pl practice
Even More Practice
• Below is a list of links to games and
activities all having to do with scientific
notation.
– http://www.aaamath.com/dec71i-dec2sci.html
– http://janus.astro.umd.edu/cgibin/astro/scinote.pl
– http://www.sciencejoywagon.com/physicszon
e/lesson/00genral/dectosci.htm