Download presentation
Presentation is loading. Please wait.
1
Dimensional Analysis Factor Labeling
2
Dimensional Analysis This is a method of problem-solving which ___focuses______ on the units.
3
Dimensional Analysis This is a method of problem-solving which ___focuses______ on the units. Helps you set up equations correctly → Solve for units as wells as numbers
4
Dimensional Analysis ____A conversion factor___________ is a ratio of equivalent values used to express the same quantity in different units.
5
Dimensional Analysis ____A conversion factor___________ is a ratio of equivalent values used to express the same quantity in different units. Always equal to __1____.
6
Dimensional Analysis ____A conversion factor___________ is a ratio of equivalent values used to express the same quantity in different units. Always equal to __1____. Used to convert from one unit to the other.
7
Dimensional Analysis Set up the problem so the units will cancel as you solve it.
8
Dimensional Analysis Example: 1 Liter = milliliters
9
Dimensional Analysis Example: 1 Liter = 1000 milliliters This equality can be converted into __2__ conversion factors
10
Dimensional Analysis Example: 1 Liter = 1000 milliliters This equality can be converted into __2__ conversion factors. 1 L or 1000 mL
11
Dimensional Analysis Example: 1 Liter = 1000 milliliters This equality can be converted into __2__ conversion factors. 1 L or 1000 mL 1000 mL 1 L
12
To solve problems with dimensional analysis:
Put given value on __top__ of fraction bar
13
To solve problems with dimensional analysis:
Put given value on __top__ of fraction bar Determine what __conversion factor__ you can use that has both the given unit & ______desired__ unit.
14
To solve problems with dimensional analysis:
Put given value on __top__ of fraction bar Determine what __conversion factor__ you can use that has both the given unit & ______desired__ unit. Set up conversion factor with __desired unit_ on top and ___given__ unit on __bottom__ so given units cancel.
15
Example: Convert 65.22 mg to ___g
Given: __65.22 mg __
16
Example: Convert 65.22 mg to ___g
Given: __65.22 mg __ Equality: __1 g = 1000 mg__
17
Example: Convert 65.22 mg to ___g
Given: __65.22 mg __ Equality: __1 g = 1000 mg__ so…. 2 conversion factors: 1 g or mg
18
Example: Convert 65.22 mg to ___g
Given: __65.22 mg __ Equality: __1 g = 1000 mg__ so…. 2 conversion factors: 1 g or mg mg g
19
Example: Convert 65.22 mg to ___g
Given: __65.22 mg __ Equality: __1 g = 1000 mg__ so…. 2 conversion factors: 1 g or mg mg g 65.22 mg
20
Example: Convert 65.22 mg to ___g
Given: __65.22 mg __ Equality: __1 g = 1000 mg__ so…. 2 conversion factors: 1 g or mg mg g 65.22 mg {pick a conversion factor so that the given units (mg) cancel}
21
Example: Convert 65.22 mg to ___g
Given: __65.22 mg __ Equality: __1 g = 1000 mg__ so…. 2 conversion factors: 1 g or mg mg g 65.22 mg
22
Example: Convert 65.22 mg to ___g
Given: __65.22 mg __ Equality: __1 g = 1000 mg__ so…. 2 conversion factors: 1 g or mg mg g 65.22 mg g 1000 mg
23
Example: Convert 65.22 mg to ___g
Given: __65.22 mg __ Equality: __1 g = 1000 mg__ so…. 2 conversion factors: 1 g or mg mg g 65.22 mg g = g 1000 mg
24
Practice: m to _____ cm Given: __0.84 m__
25
Practice: m to _____ cm Given: __0.84 m__ Equality: 1 m = 100 cm which unit should go on the bottom?
26
Practice: m to _____ cm Given: __0.84 m__ Equality: 1 m = 100 cm which unit should go on the bottom? Answer: the unit you want to cancel: m
27
Practice: m to _____ cm Given: __0.84 m__ Equality: 1 m = 100 cm which unit should go on the bottom? Answer: the unit you want to cancel: m so use: 100 cm 1 m
28
Practice: m to _____ cm Given: __0.84 m__ so use: 100 cm 1 m 0.84 m
29
Practice: m to _____ cm Given: __0.84 m__ so use: 100 cm 1 m 0.84 m 100 cm
30
Practice: m to _____ cm Given: __0.84 m__ so use: 100 cm 1 m 0.84 m 100 cm = 84 cm
31
Practice: 5.5 dozen eggs to single eggs
Given: 5.5 doz
32
Practice: 5.5 dozen eggs to single eggs
Given: 5.5 doz Equality: 1 doz = 12 eggs
33
Practice: 5.5 dozen eggs to single eggs
Given: 5.5 doz Equality: 1 doz = 12 eggs We want doz to cancel:
34
Practice: 5.5 dozen eggs to single eggs
Given: 5.5 doz Equality: 1 doz = 12 eggs We want doz to cancel: so put doz on bottom
35
Practice: 5.5 dozen eggs to single eggs
Given: 5.5 doz Equality: 1 doz = 12 eggs We want doz to cancel: so use: 12 eggs 1 doz
36
Practice: 5.5 dozen eggs to single eggs
Given: 5.5 doz 5.5 doz
37
Practice: 5.5 dozen eggs to single eggs
Given: 5.5 doz 5.5 doz 12 eggs 1 doz
38
Practice: 5.5 dozen eggs to single eggs
Given: 5.5 doz 5.5 doz eggs = 66 eggs 1 doz
39
Practice: 5.5 dozen eggs to single eggs
Given: 5.5 doz 5.5 doz eggs = 66 eggs 1 doz conversion factors do not affect the number of sig figs in answer *start with 2 sig figs = end with 2
40
Sometimes you may need more than __1___conversion factor
41
Ex: Convert 2.01 miles to ___inches
1 mile = 5280 feet 2.01 miles
42
Ex: Convert 2.01 miles to ___inches
1 mile = 5280 feet 2.01 miles
43
Ex: Convert 2.01 miles to ___inches
1 mile = 5280 feet 2.01 miles 1 mile
44
Ex: Convert 2.01 miles to ___inches
1 mile = 5280 feet 2.01 miles 5280 feet 1mile
45
Ex: Convert 2.01 miles to ___inches
1 mile = 5280 feet 2.01 miles 5280 feet 1mile
46
Ex: Convert 2.01 miles to ___inches
1 mile = 5280 feet 2.01 miles 5280 feet 1mile Now our answer is in feet…but we want inches So…we need another step!!
47
Ex: Convert 2.01 miles to ___inches
1 mile = 5280 feet 2.01 miles 5280 feet 1mile
48
Ex: Convert 2.01 miles to ___inches
1 mile = 5280 feet 2.01 miles 5280 feet 1mile feet
49
Ex: Convert 2.01 miles to ___inches
1 mile = 5280 feet 2.01 miles 5280 feet 12 inches 1mile 1 feet
50
Ex: Convert 2.01 miles to ___inches
1 mile = 5280 feet 2.01 miles 5280 feet 12 inches 1mile 1 feet
51
Ex: Convert 2.01 miles to ___inches
1 mile = 5280 feet 2.01 miles 5280 feet 12 inches = inches 1 mile 1 feet
52
Ex: Convert 2.01 miles to ___inches
1 mile = 5280 feet 2.01 miles 5280 feet 12 inches = inches 1 mile 1 feet Need correct # of sig figs!!!
53
Ex: Convert 2.01 miles to ___inches
1 mile = 5280 feet 2.01 miles 5280 feet 12 inches = inches 1 mile 1 feet Need correct # of sig figs!!! conversion factors do not affect the number of sig figs in answer *start with 3 sig figs = end with 3
54
Ex: Convert 2.01 miles to ___inches
1 mile = 5280 feet miles 5280 feet 12 inches = inches 1 mile 1 feet Need correct # of sig figs!!! conversion factors do not affect the number of sig figs in answer *start with 3 sig figs = end with 3
55
834 hours to ___ months 834 hr
56
834 hours to ___ months 834 hr hr Hours has to go on bottom to cancel, but I don’t know an hours to month conversion factor
57
834 hours to ___ months 834 hr hr Hours has to go on bottom to cancel, but I don’t know an hours to month conversion factor But I do know hours to what?
58
834 hours to ___ months 834 hr 1 day 24 hr
59
834 hours to ___ months 834 hr 1 day 24 hr Now my unit is day, but I need month…so I need another step
60
834 hours to ___ months 834 hr 1 day 24 hr What unit must go in the bottom of the next step?
61
834 hours to ___ months 834 hr 1 day 24 hr day What is my day to month conversion factor?
62
834 hours to ___ months 834 hr 1 day 1 month 24 hr 30 days
63
834 hours to ___ months 834 hr 1 day 1 month = months 24 hr 30 days How many sig figs should there be in answer?
64
834 hours to ___ months 834 hr 1 day 1 month = months 24 hr 30 days 1.16 months How many sig figs should there be in answer? 3
65
0.143 hours to ____ seconds 0.143 hr
66
0.143 hours to ____ seconds 0.143 hr 1 hr
67
0.143 hours to ____ seconds 0.143 hr 60 min 1 hr
68
0.143 hours to ____ seconds 0.143 hr 60 min 1 hr
69
0.143 hours to ____ seconds 0.143 hr 60 min 1 hr
70
0.143 hours to ____ seconds 0.143 hr 60 min 1 hr min
71
0.143 hours to ____ seconds 0.143 hr 60 min sec 1 hr min
72
0.143 hours to ____ seconds 0.143 hr 60 min 60 sec 1 hr 1 min
73
0.143 hours to ____ seconds 0.143 hr 60 min 60 sec = seconds 1 hr 1 min
74
0.143 hours to ____ seconds 0.143 hr 60 min 60 sec = seconds 1 hr 1 min 515 sec 3 sig figs!!
Similar presentations
© 2025 SlidePlayer.com. Inc.
All rights reserved.