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

OK

Unit Analysis Supplement to Math 60 Chapter 3 Cathy Mulleary Summer 2013.

Unit Analysis Supplement to Math 60 Chapter 3 Cathy Mulleary Summer 2013.

© 2018 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on non agricultural activities in nigeria Ppt on micro operations Ppt on power system stability equal area Ppt on abstract art for kids Seven segment display ppt online Ppt on industrial revolution in england Ppt on eye oscillopsia Ppt on kisan call centre Download ppt on endangered species in india Ppt on changing face of london