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 in problems and convert standard notation into scientific notation.
Chapter 1

2. Why are significant figures not important in your math class?
Chapter 1

3. Perform the following calculations to the correct number of significant figures

4. Perform the following calculations to the correct number of significant figures

5. 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)

6. Numbers in Chemistry Speed of Light 300,000,000 m/s
Avogadro’s Number
602,000,000,000,000,000,000,000 atoms/mol
Planck's Number
J/s
Speed of Light
300,000,000 m/s
Wavelength of red light m

7. Positive Exponents 101 = 10 102 = 10X10= 100 103 = 10X10X10 = 1000

8. Negative Exponents 10-1 = 1/10 = 0.1 10-2 = 1/100 = 0.01
10-3 = 1/1000 = 0.001
10-4 = 1/10000 =

9. 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 = ?

10. Scientific Notation Continued
= 6 X 10-5
= 4.5 X 10-4
Count places to the right until there is one number to the left of the decimal point
0.003 = ?
= ?
= ?

11. Convert the following numbers into scientific notation
45.01
5,712,100

12. Convert the following numbers into scientific notation
45.01 = x 101
= 6.71 x 10-3
5,712,100 = x 106

13. Convert the following numbers into standard notation:
9.11 x 103
1.75 x 107
7.4 x 10-5
9 x 10-4

14. Convert the following numbers into standard notation:
9.11 x 103 = 9110
1.75 x 107 = 17,500,000
7.4 x 10-5 =
9 x 10-4 =

15. Multiplying with Scientific Notation
Add the Exponents
102 X 103 = 105
100 X 1000 = 100,000

16. 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

17. 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)= ?

18. 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

19. Dividing with Scientific Notation
Subtract the Exponents
104/103 = 101

20. Dividing with Scientific Notation
(3.3 X 104)/ (2.3 X 102)
Divide the Coefficients
3.3/ 2.3 = = 1.4
Subtract the Exponents
104 / 102 = 102
1.4 X 102
140

21. 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)=

22. 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