Tuesday 9/16/14 Learning Target: Know how to use and convert numbers into scientific notation....
-
Upload
stewart-moody -
Category
Documents
-
view
217 -
download
0
Transcript of Tuesday 9/16/14 Learning Target: Know how to use and convert numbers into scientific notation....
![Page 1: Tuesday 9/16/14 Learning Target: Know how to use and convert numbers into scientific notation. Learning Outcome: I will be able to use scientific notation.](https://reader036.fdocuments.us/reader036/viewer/2022081514/56649e405503460f94b31033/html5/thumbnails/1.jpg)
Tuesday 9/16/14
Learning Target:Know how to use and convert
numbers into scientific notation.Learning Outcome:
I will be able to use scientific notation in problems and convert standard notation into scientific notation.
Chapter 1 1
![Page 2: Tuesday 9/16/14 Learning Target: Know how to use and convert numbers into scientific notation. Learning Outcome: I will be able to use scientific notation.](https://reader036.fdocuments.us/reader036/viewer/2022081514/56649e405503460f94b31033/html5/thumbnails/2.jpg)
Why are significant figures not important in your math class?
Chapter 1 2
![Page 3: Tuesday 9/16/14 Learning Target: Know how to use and convert numbers into scientific notation. Learning Outcome: I will be able to use scientific notation.](https://reader036.fdocuments.us/reader036/viewer/2022081514/56649e405503460f94b31033/html5/thumbnails/3.jpg)
Perform the following calculations to the correct number of significant figures
4555.30015.45120.010.1 a)
33.4526755.45299870.3562.4 c)
02.855.084.14 d)
b) 0.355 + 105.1 - 100.5820 =
![Page 4: Tuesday 9/16/14 Learning Target: Know how to use and convert numbers into scientific notation. Learning Outcome: I will be able to use scientific notation.](https://reader036.fdocuments.us/reader036/viewer/2022081514/56649e405503460f94b31033/html5/thumbnails/4.jpg)
Perform the following calculations to the correct number of significant figures
652.04555.30015.45120.010.1 a)
80.52799.5233.4526755.45299870.3562.4 c)
14.0142.002.855.084.14 d)
b) 0.355 + 105.1 - 100.5820 = 4.8739 = 4.9
![Page 5: Tuesday 9/16/14 Learning Target: Know how to use and convert numbers into scientific notation. Learning Outcome: I will be able to use scientific notation.](https://reader036.fdocuments.us/reader036/viewer/2022081514/56649e405503460f94b31033/html5/thumbnails/5.jpg)
What is scientific notation?
A method used in science to represent really large of really small numbers.
Used to show significant figures with ambiguous numbers (large numbers without decimal points)
![Page 6: Tuesday 9/16/14 Learning Target: Know how to use and convert numbers into scientific notation. Learning Outcome: I will be able to use scientific notation.](https://reader036.fdocuments.us/reader036/viewer/2022081514/56649e405503460f94b31033/html5/thumbnails/6.jpg)
Numbers in Chemistry
Avogadro’s Number 602,000,000,000,000,000,000,000 atoms/mol
Planck's Number 0.000000000000000000000000000000000662 J/s
Speed of Light 300,000,000 m/s
Wavelength of red light .000000750 m
![Page 7: Tuesday 9/16/14 Learning Target: Know how to use and convert numbers into scientific notation. Learning Outcome: I will be able to use scientific notation.](https://reader036.fdocuments.us/reader036/viewer/2022081514/56649e405503460f94b31033/html5/thumbnails/7.jpg)
Positive Exponents
101 = 10 102 = 10X10= 100 103 = 10X10X10 = 1000 104 = 10X10X10X10 = 10,000
![Page 8: Tuesday 9/16/14 Learning Target: Know how to use and convert numbers into scientific notation. Learning Outcome: I will be able to use scientific notation.](https://reader036.fdocuments.us/reader036/viewer/2022081514/56649e405503460f94b31033/html5/thumbnails/8.jpg)
Negative Exponents
10-1 = 1/10 = 0.1 10-2 = 1/100 = 0.01 10-3 = 1/1000 = 0.001 10-4 = 1/10000 = 0.0001
![Page 9: Tuesday 9/16/14 Learning Target: Know how to use and convert numbers into scientific notation. Learning Outcome: I will be able to use scientific notation.](https://reader036.fdocuments.us/reader036/viewer/2022081514/56649e405503460f94b31033/html5/thumbnails/9.jpg)
Scientific Notation
10,000 = 1 X 104
250,000 = 2.5 X 105
Count places to the left until there is one number to the left of the decimal point.
230,000 = ?
35,000 = ?
![Page 10: Tuesday 9/16/14 Learning Target: Know how to use and convert numbers into scientific notation. Learning Outcome: I will be able to use scientific notation.](https://reader036.fdocuments.us/reader036/viewer/2022081514/56649e405503460f94b31033/html5/thumbnails/10.jpg)
Scientific Notation Continued 0.00006 = 6 X 10-5
0.00045 = 4.5 X 10-4
Count places to the right until there is one number to the left of the decimal point
0.003 = ?
0.0030 = ?
0.0000025 = ?
![Page 11: Tuesday 9/16/14 Learning Target: Know how to use and convert numbers into scientific notation. Learning Outcome: I will be able to use scientific notation.](https://reader036.fdocuments.us/reader036/viewer/2022081514/56649e405503460f94b31033/html5/thumbnails/11.jpg)
Convert the following numbers into scientific notation
45.01 0.00671 5,712,100
![Page 12: Tuesday 9/16/14 Learning Target: Know how to use and convert numbers into scientific notation. Learning Outcome: I will be able to use scientific notation.](https://reader036.fdocuments.us/reader036/viewer/2022081514/56649e405503460f94b31033/html5/thumbnails/12.jpg)
Convert the following numbers into scientific notation
45.01 = 4.501 x 101
0.00671 = 6.71 x 10-3
5,712,100 = 5.7121 x 106
![Page 13: Tuesday 9/16/14 Learning Target: Know how to use and convert numbers into scientific notation. Learning Outcome: I will be able to use scientific notation.](https://reader036.fdocuments.us/reader036/viewer/2022081514/56649e405503460f94b31033/html5/thumbnails/13.jpg)
Convert the following numbers into standard notation:
9.11 x 103
1.75 x 107
7.4 x 10-5
9 x 10-4
![Page 14: Tuesday 9/16/14 Learning Target: Know how to use and convert numbers into scientific notation. Learning Outcome: I will be able to use scientific notation.](https://reader036.fdocuments.us/reader036/viewer/2022081514/56649e405503460f94b31033/html5/thumbnails/14.jpg)
Convert the following numbers into standard notation:
9.11 x 103 = 9110 1.75 x 107 = 17,500,000 7.4 x 10-5 = 0.000074 9 x 10-4 = 0.0009
![Page 15: Tuesday 9/16/14 Learning Target: Know how to use and convert numbers into scientific notation. Learning Outcome: I will be able to use scientific notation.](https://reader036.fdocuments.us/reader036/viewer/2022081514/56649e405503460f94b31033/html5/thumbnails/15.jpg)
Multiplying with Scientific Notation
Add the Exponents
102 X 103 = 105
100 X 1000 = 100,000
![Page 16: Tuesday 9/16/14 Learning Target: Know how to use and convert numbers into scientific notation. Learning Outcome: I will be able to use scientific notation.](https://reader036.fdocuments.us/reader036/viewer/2022081514/56649e405503460f94b31033/html5/thumbnails/16.jpg)
Multiplying with Scientific Notation
(2.3 X 102)(3.3 X 103)
Multiply the Coefficients
2.3 X 3.3 = 7.59 = 7.6
Add the Exponents
102 X 103 = 105
Put them together, 7.6 X 105
760,000
![Page 17: Tuesday 9/16/14 Learning Target: Know how to use and convert numbers into scientific notation. Learning Outcome: I will be able to use scientific notation.](https://reader036.fdocuments.us/reader036/viewer/2022081514/56649e405503460f94b31033/html5/thumbnails/17.jpg)
Multiplying with Scientific Notation
(4.6 X 104) X (5.5 X 103) = ?
(3.1 X 103) X (4.2 X 105) = ?
(6.72 x 105) x (7.33 x 10-9)= ?
![Page 18: Tuesday 9/16/14 Learning Target: Know how to use and convert numbers into scientific notation. Learning Outcome: I will be able to use scientific notation.](https://reader036.fdocuments.us/reader036/viewer/2022081514/56649e405503460f94b31033/html5/thumbnails/18.jpg)
Multiplying with Scientific Notation
(4.6 X 104) X (5.5 X 103) = 2.5 x 108
(3.1 X 103) X (4.2 X 105) = 1.3 x 109
(6.72 x 105) x (7.33 x 10-9)= 4.93 x 10-3
![Page 19: Tuesday 9/16/14 Learning Target: Know how to use and convert numbers into scientific notation. Learning Outcome: I will be able to use scientific notation.](https://reader036.fdocuments.us/reader036/viewer/2022081514/56649e405503460f94b31033/html5/thumbnails/19.jpg)
Dividing with Scientific Notation
Subtract the Exponents
104/103 = 101
![Page 20: Tuesday 9/16/14 Learning Target: Know how to use and convert numbers into scientific notation. Learning Outcome: I will be able to use scientific notation.](https://reader036.fdocuments.us/reader036/viewer/2022081514/56649e405503460f94b31033/html5/thumbnails/20.jpg)
Dividing with Scientific Notation
(3.3 X 104)/ (2.3 X 102)
Divide the Coefficients
3.3/ 2.3 = 1.434783 = 1.4
Subtract the Exponents
104 / 102 = 102
1.4 X 102
140
![Page 21: Tuesday 9/16/14 Learning Target: Know how to use and convert numbers into scientific notation. Learning Outcome: I will be able to use scientific notation.](https://reader036.fdocuments.us/reader036/viewer/2022081514/56649e405503460f94b31033/html5/thumbnails/21.jpg)
Dividing with Scientific Notation
(4.6 X 106) ÷ (5.5 X 103) =
(3.1 X 108) ÷ (4.262 X 104) =
(6.72 x 105) ÷ (7.3 x 10-9)=
![Page 22: Tuesday 9/16/14 Learning Target: Know how to use and convert numbers into scientific notation. Learning Outcome: I will be able to use scientific notation.](https://reader036.fdocuments.us/reader036/viewer/2022081514/56649e405503460f94b31033/html5/thumbnails/22.jpg)
Dividing with Scientific Notation
(4.6 X 106) ÷ (5.5 X 103) = 8.4 x 102
(3.1 X 108) ÷ (4.262 X 104) = 7.3 x 103
(6.72 x 105) ÷ (7.3 x 10-9)= 9.2 x 1013