Notes
Slide Show
Outline
1
Scientific (Exponential) Notation
2
Scientific Notation
  • N
3
 
4
 
5
 
6
"TEXAS"
  • TEXAS  INSTRUMENTS
7
 
8
Scientific Notation
9
"350 x 10-4"
  •   350 x 10-4





10
Scientific Notation
11
"0.00000005710 x 104"
  •   0.00000005710 x 104





12
Express the following numbers using correct Scientific Notation
  • 1) 6 2 8
  • 2) 0.0000663
  • 3)  93,000,000
  • 4)  2,450,000,000
  • 5)   0.0000000158
  • 6)    4 3 2 x 10-3
  • 7)   0.0 0 0 378 x 102
  • 8)   0. 0 0 4 0 0 x 10-1


13
 
14
 
15
 
16
Perform the following operations expressing the answers using correct exponential notation
17
The Metric System of Measures
18
Assignment
  • Brown, LeMay, Bursten
  • Metric Measures    1.17 , 1.18 ,  1.19
19
The Metric System
20
Metric Prefixes
  • 1,000,000,000               109
  •            1,000,000       106
  •                   1,000       103
  •       100       102
  • 10        101


  • 0.1             10-1
  •       0.01             10-2
  •     0.001             10-3
  •       0.000001             10-6
  •         0.000000001            10-9
  •   0.000 000 000 001         10-12
  • 0.000 000 000 000 001    10-15
21
The International System of Measures
22
 
23
"1). 1 cm ="
  • 1). 1 cm = m
  • 2). m = 1 km
  • 3). g = 1 mg
  • 4).   1 mL =      L
  • 5). 1 Gigaton =                ton
  • 6).   620 kHz   =
  • 7).  1 deciliter =              L
  • 8).  520 nanometers =




24
"1)"
  • 1)  cm = 1 m
  • 2)          mL = 1L
  • 3)               mg = 1 g
  • 4)       ML = 1 L
  • 5)    dam = 1 m
  • 6)    hm = 1 m
  • 7)                                m = mm




25
 
26
 
27
 
28
Assignment
  • Brown, LeMay, Bursten


  • Significant Figures   1.31, 1.33, 1.35,
  •                                     1.37, 1.39


29
"8)."
  • 8).    cg = da g
  • 9).    hm = k m
  • 10).   Mg = mg
  • 11).   ML = k L
  • 12).    dm = c m
  • 13).    ng  = m g
  • 14).    Ml = dl


30
Math Foundations
  • Representing the Precision of Measured Quantities:
  • Significant Figures


31
 
32
Expressing the Uncertainty (Reproducibility) in Measured Quantities Using Significant Figures
33
 
34
Expressing Precision  in the result of Numerical Calculations
35
Significant Figures in the result of Addition or Subtraction
36
"35.88"




  •     35.88    mL
  • +   0.266 mL





  •          3.0       g
  •  ─     0.0146 g


37
Significant Figures in the result of Multiplication and Division
38
 
39
 
40
 
41
 
42
"How many significant figures are..."
  • How many significant figures are found in the following numbers?
  • 854,342 in.     0.04000 mg
  • 0.0060400 m $10,000 (counted by hand)
  • 45.004 mL 140,000 lbs
  • 100.001 oz 3,600 sec/hr
  • 100 cm/m 36 in2
  • 1.000006 g 0.00005 kg
  • 0.00046 lb 30 yd
  • 15 students 1,000,000 mm/m
  • 20. meters
43
 
44
Perform the following operations expressing the results to the proper degree of precision.
  • 0.082L-atm/mol K  x  304.6 K
  • 25.047 L
45
"A student is presented with..."
  • A student is presented with two metal samples, A and B, and must distinguish between them ( one is ferromagnetic and the other none magnetic without, the use of a magnet). The student decides to distinguish between them by very carefully measuring their densities                               ( D=mass/Volume) ; the ferromagnetic metal has a density of  7.39 g/mL while the non magnetic metal is known to have  a density of 7.4215 g/mL.  The student measured the mass of a 5.0 mL sample of A to be 37.0905 g.   Calculate the density of the sample and determine whether sample A is ferromagnetic or non magnetic.
46
Math Foundations
  • Unit Conversions:
  • Dimensional Analysis


47
Unit Conversions and Problem Solving:
Dimensional Analysis
48
 
49
 
50
"How many liters is"
  • How many liters is  563 mL?



51
"How many liters is"
  • How many liters is  563 mL?
  • (1) Identify the given quantity and its unit; identify the unit sought


  • (2)  Gather useful unit-factors and outline a logical, systematic sequence of  conversions




  • (3)  Set  up conversions,  following  your outline and verifying the proper  placement of  units in the unit factors.




  • (4)  Place appropriate numbers in the unit factors and carry out in indicated operations
52
"How many meters is is"
  • How many meters is is
  •  6.32 x 104  mm?



53
"How many meters is 6.32..."
  • How many meters is 6.32 x 104mm?
  • (1) Identify the given quantity and its unit; identify the unit sought


  • (2) Gather useful unit-factors and outline a logical, systematic sequence of  conversions





  • (3)  Set  up conversions,  following  your outline and verifying the proper  placement of  units in the unit factors.





  • (4)  Place appropriate numbers in the unit factors and carry out in indicated operations
54
"What volume is 473 mL..."
  • What volume is 473 mL expressed in hL’s ?


55
"What volume is 473 mL..."
  • What volume is 473 mL expressed in hL.?
  • (1) Identify the given quantity and its unit; identify the unit sought



  • (2) Gather useful unit-factors and outline a logical, systematic sequence of  conversions





  • (3)  Set  up conversions,  following  your outline and verifying the proper  placement of  units in the unit factors.





  • (4)  Place appropriate numbers in the unit factors and carry out in indicated operations
56
"How many cm is 132"
  • How many cm is 132. pm  ( the distance separating C atoms in the compound
  •       ethylene)
57
"How many cm."
  • How many cm.  is  132. pm?
  • (1) Identify the given quantity and its unit; identify the unit sought




  • (2) Gather useful unit-factors and outline a logical, systematic sequence of  conversions





  • (3)  Set  up conversions,  following  your outline and verifying the proper  placement of  units in the unit factors.




  • (4)  Place appropriate numbers in the unit factors and carry out in indicated operations
58
"The"
  • The  average mass of a “Orville Redenbacher” popcorn kernel is 0.125 g.  On the average, how many kernels will be found in one lb. of popcorn?


59
 
60
 






61
"What volume is 32 dL..."
  • What volume is 32 dL expressed in qts ?



62
"What volume is 32 dL..."
  • What volume is 32 dL expressed in qts ?
  • (1) Identify the given quantity and unit


  • (2) Gather useful conversion factors (unit relationships) and outline a logical, systematic sequence of  conversions




  • (3)  Set  up conversions,  following  your outline and verifying the proper  placement of  units in the unit factors.



  • (4)  Place appropriate numbers in the unit factors and carry out in indicated operations
63
"How many Kg."
  • How many Kg.  is  7.04  x 103 oz?


  •   1 Kg = 2.2 lb   1 lb = 16 oz
64
"How many Kg."
  • How many Kg.  is  7.04  x 103 oz?
  • (1) Identify the given quantity and its unit; identify the unit sought



  • (2) Gather useful unit-factors and outline a logical, systematic sequence of  conversions





  • (3)  Set  up conversions,  following  your outline and verifying the proper  placement of  units in the unit factors.





  • (4)  Place appropriate numbers in the unit factors and carry out in indicated operations
65
How many  in.   is  12.0 pm?
66
"How many"
  • How many    in.   is  12.0 pm?
  • (1) Identify the given quantity and its unit; identify the unit sought



  • 2) Gather useful unit-factors and outline a logical, systematic sequence of  conversions







  • (3)  Set  up conversions,  following  your outline and verifying the proper  placement of  units in the unit factors.




  • (4)  Place appropriate numbers in the unit factors and carry out in indicated operations
67
How many oz. is 200. mg?
68
"How many oz."
  • How many oz. is 200. mg?
  • (1) Identify the given quantity and its unit; identify the unit sought


  • (2) Gather useful unit-factors and outline a logical, systematic sequence of  conversions





  • (3)  Set  up conversions,  following  your outline and verifying the proper  placement of  units in the unit factors.





  • (4)  Place appropriate numbers in the unit factors and carry out in indicated operations
69
If a glass of orange juice contains 1.18 dL of juice how many fl. oz. does the glass contain?
70
"If a glass of orange..."
  • If a glass of orange juice contains 1.18 dL of juice how many fl. oz. does the glass contain?
71
 
72
 
73
How many quarts are contained in  1 cubic meter (1 m3)?
74
 
75
 
76
 
77
The LD50 for sodium cyclamate ( a sugar substitute) in mice is 17.0 g cyclamate per kilogram of body weight (LD50 is that dose of a substance that would be lethal for 50% of a population).  Calculate the number of cans of diet soda that a 70 Kg (154 lb) human would have to drink to reach this dose.  Each can of diet soda contains 0.085 grams of sodium cyclamate.
78
 
79
 
80
 
81
"How many hm long is..."
  • How many hm long is a 100. yd football field?




82
"How many hm long is..."
  • How many hm long is a 100. yd football field?










83
 
84
6. The LD50 for sodium cyclamate ( a sugar substitute) in mice is 17.0 g cyclamate per kilogram of body weight (LD50 is that dose of a substance that would be lethal for 50% of a population).  Calculate the number of cans of diet soda that a 70 Kg (154 lb) human would have to drink to reach this dose.  Each can of diet soda contains 0.85 grams of sodium cyclamate.
85
Temperature
86
Energy
  • The ability to do work


87
Forms of Energy
  • Potential: Stored Energy






  • Kinetic:



  • Thermal
88
Forms of Energy
89
Heat
90
Radiant Energy
  • Energy that can be transmitted through a vacuum.


91
 
92
Temperature
93
Types of motion
94
 
95
Temperature Scales
  • Fahrenheit (degrees Fahrenheit -  oF)
96
Temperature Scales
97
Temperature Scales
  • Kelvin or Absolute  ( Kelvins - K)
98
Temperature Scale Conversions
99
 
100
Conversions Between Temperature Scales
101
"30 oC"
  • 30 oC  to   oF


  • -40 oF      to       oC


  • -17 oC  to  K


  • 178 K     to      oF
102
"Dissatisfied with both the Celsius..."
  •     Dissatisfied with both the Celsius than Fahrenheit temperature scales you design your own scale based on ethanol (ethyl alcohol). On the Celsius scale, ethanol has a melting point of -117 oC and a boiling point of 78.5 oC.  On your new scale, calibrated in units  of degrees ethanol, oE, you define ethanol to melt at 0 oE and boil at 200 oE.
103
 
104
 
105
"How many inches is 12.0..."
  • How many inches is 12.0 pm?


106
How many oz. is 200. mg?
107
 
108
"If a glass of orange..."
  • If a glass of orange juice contains 1.18 dL of juice how many fl. oz. does the glass contain?


109
 
110
 
111


Significant Figures:
112
"1)."
  • 1).         cg = da g
  • 2).        hm = k m
  • 3).        Mg = mg
  • 4).        ML = k L
  • 5).        dm = c m
  • 6).        ng  = m g
  • 7).          ML = dL
  • 8).        m g =    pg
  • 9).                          dm = km
  • 10).                        cL  = nL
113
 
114
 
115
 
116
 
117
 
118
"(1)"




  • (1)





  • (2) Gather useful conversion factors (unit relationships) and outline a logical, systematic sequence of  conversions




  • (3)  Set  up conversions,  following  your outline and verifying the proper  placement of  units in the unit factors.



  • (4)  Place appropriate numbers in the unit factors and carry out in indicated operations
119
 
120
 
121
 
122
"How many oz."
  • How many oz. is 200. mg?
  • (1) Gather useful unit factors (unit relationships)


  • (2)  Outline a logical, systematic sequence of  conversions





  • (3)  Set  up conversions,  following  your outline and verifying the proper  placement of  units in the unit factors.





  • (4)  Place appropriate numbers in the unit factors and carry out in indicated operations
123
 
124
Scientific Notation
125
Scientific Notation
126
"1). 1 cm ="
  • 1). 1 cm = m
  • 2). m = 1 km
  • 3). g = 1 mg
  • 4).   1 mL =  L
  • 5). 1 Gigaton =                        tons
  • 6).   620 kHz   =
  • 7).  1 deciliter =     L
  • 8).  520 nanometers =



  • 9).     cg = 1 g
  • 10).               dm = 1 m
  • 11). mg = 1 g
  • 12).   ML = 1 L
  • 13).   hm = 1 m
  • 14).   ng  = 1 g
  • 15).   mL = 1L


127
Expressing the Uncertainty (Reproducibility) in Measured Quantities Using Significant Figures
128
How many oz. is 200. mg?
129
 
130
"What is the volume 473..."
  • What is the volume 473 mL expressed in hL?
131
"What is the mass in..."
  • What is the mass in kilograms of a person who weighs 152 lbs. ?
132
"How many quarts is 32..."
  • How many quarts is 32 dL?
133
"How volume is 473 mL..."
  • How volume is 473 mL expressed in fl. Oz.?


134
"The upper limit for the..."
  • The upper limit for the allowable blood cholesterol level is 200. mg  in 1 dL blood.  What is this mass expressed in oz.?
135
 
136
 
137
 
138
 
139
 
140
 
141
 
142
"1). 1 cm ="
  • 1). 1 cm =    m


  • 2).          m = 1 km


  • 3).            g = 1 mg


  • 4).   1 mL =          L


  • 5). 1 Gigaton =                                ton


  • 6).   620 kHz   =
  • 7).  1 deciliter =              L


  • 8).  520  nanometers =                           m




143
"cm = 1 m"
  •                                         cm = 1 m


  •                                          mL = 1L


  •                                         mg = 1 g


  •                                          ML = 1 L


  •                                       dam = 1 m


  •                                       hm = 1 m


  • 7)                                             m = mm




144
"8)."
  • 8).                   cg = da g


  • 9).                     hm  =  k m


  • 10).   Mg  =  μg


  • 11).   ML = k L


  • 12).    dm = c m


  • 13).    ng  = μ g


  • 14).         Ml = dl


145
"8)."
  • 8).    cg = da g
  • 9).    hm = k m
  • 10).   Mg = mg
  • 11).   ML = k L
  • 12).    dm = c m
  • 13).    ng  = m g
  • 14).    Ml = dl


146
 
147
Expressing the Uncertainty (Reproducibility) in Measured Quantities Using Significant Figures
148
 
149
 
150
 
151
"How many Kg."
  • How many Kg.  is  7.04  x 103 oz?
  • (1) Identify the given quantity and its unit; identify the unit sought


  • (2) Gather useful conversion factors (unit relationships) and outline a logical, systematic sequence of  conversions




  • (3)  Set  up conversions,  following  your outline and verifying the proper  placement of  units in the unit factors.





  • (4)  Place appropriate numbers in the unit factors and carry out in indicated operations
152
2). How many  in.   is  12.0 pm?
  • 1).  How many Kg.  is  7.04  x 103  oz?                   1 Kg = 2.2 lb   1 lb = 16 oz