Scientific Notation ­ Ordering, Mult, Divide.notebook
October 29, 2015
Warm up 1. Turn your homework into the drawer.
2. Research two things...
-something that is represented by a very small number
-something that is represented by a very large number
Be ready to share the two things and the numbers that represent
them.
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Scientific Notation ­ Ordering, Mult, Divide.notebook
October 29, 2015
1,000,000
1.5 x 103
2.54 x 105
5300
6.3 x 10-3
0.01
7.3458 x 107
0.000099
1.1 x 10-5
0.0054
803,000
4.01 x 104
7.0 x 108
17,000,000,000
8.075 x 10-4
5.925 x 106
0.00027
6.78 x 102
3.005 x 105
21,800
2,450,000
0.125
2
Scientific Notation ­ Ordering, Mult, Divide.notebook
October 29, 2015
Scientific Notation Check:
1. Does it have a power of 10?
2. Does it have ONLY 1 number (1-9) before the decimal?
23 x 10-4
45.8 x 106
123.7 x 10-3
3
Scientific Notation ­ Ordering, Mult, Divide.notebook
October 29, 2015
4
Scientific Notation ­ Ordering, Mult, Divide.notebook
October 29, 2015
Put in order from least to greatest. Be sure to fix any fakers FIRST. 2.8x 10­4
5.41 ×10­6
.63 ×10−2
9.7 ×10­3
­6
2.8x 10­4 6.3 ×10 −3 9.7 ×10­3
5.41 ×10
Click here to see the correct order.
5
Scientific Notation ­ Ordering, Mult, Divide.notebook
October 29, 2015
Put in order from least to greatest. Be sure to fix any fakers FIRST. 7.5 ×104
34.11 ×103
.2 x 106
88.2 x 105
4
Click here to see the correct order.
3.411 ×10
2. x 105
8.82 x 106
7.5 ×104
6
Scientific Notation ­ Ordering, Mult, Divide.notebook
Put in order from least to greatest. Be sure to fix any fakers FIRST. Pull
oxes
ck on
October 29, 2015
7.31 ×106
6.17 ×103
7 ×104
5.4 ×10−8
Click here to see the correct order.
−8
7.31 ×106
6.17 ×103 7 ×104
5.4 ×10
7
Scientific Notation ­ Ordering, Mult, Divide.notebook
October 29, 2015
Multiplication in Scientific Notation
(2.1 x 108) (3.2 x 104)
1. Multiply the rational numbers together.
2.1 x 3.2
2. Keep the "x 10" and add the exponents together to get the
new power of 10.
8+4
3. Make sure your answer is in scientific notation. Adjust if
necessary.
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Scientific Notation ­ Ordering, Mult, Divide.notebook
October 29, 2015
Multiply.
3
4
(2 X 10 )(4 X 10 ) =
7
5
6
(3 X 10 )(2 X 10 ) =
4
(5.5 X 10 )(1.1 x 10 ) =
9
5
(2.6 X 10 )(3.1 x 10 ) =
9
Scientific Notation ­ Ordering, Mult, Divide.notebook
October 29, 2015
What happens if the coefficient is more than 10?
3
7
4
Example: (6 x 10 ) (4 x 10 ) = 24 x 10
For each place you move the decimal to the left, the exponent will be increased by
one power of ten. For each place you move the decimal to the right, the exponent
will be decreased by one power of ten.
3
4
7
8
(6 x 10 ) (4 x 10 ) = 24 x 10 = 2.4 x 10
10
Scientific Notation ­ Ordering, Mult, Divide.notebook
October 29, 2015
Dividing Scientific Notation
1. Divide the rational numbers.
2. Keep the same base (10) and subtract the exponents of 10.
3. Check to make sure that the resulting number is still in
scientific notation. Make an adjustment if necessary.
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Scientific Notation ­ Ordering, Mult, Divide.notebook
October 29, 2015
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