1. Dimensional Analysis Organized method of problem-solving
Used in chemistry, physics, engineering, and medicine
Communicates the path to scientists that follow your work
Records your own path for your future use

2. Calculate the number of minutes in 3.61 hours.
Dimensional Analysis
Calculate the number of minutes in 3.61 hours.
Write the given
and draw the chart.

3. Think of a relationship: 1 hr = 60 min Cancel units diagonally.
Dimensional Analysis
Calculate the number of minutes in 3.61 hours.
Think of a relationship: 1 hr = 60 min
Cancel units diagonally.

4. How many centimeters are in 4.2 inches?
Dimensional Analysis
How many centimeters are in 4.2 inches?
Write the given and
draw the chart.

5. Think of a relationship: 1 in = 2.54 cm Cancel units diagonally.
Dimensional Analysis
How many centimeters are in 4.2 inches?
Think of a relationship: 1 in = 2.54 cm
Cancel units diagonally.

6. Realize that we don’t know just one step from weeks to seconds.
Dimensional Analysis
Find the number of seconds in two weeks.
Start as usual.
Realize that we don’t know
just one step from weeks to seconds.

7. Think of a relationship: 1 wk = 7 days Cancel units diagonally.
Dimensional Analysis
Find the number of seconds in two weeks.
Think of a relationship: 1 wk = 7 days
Cancel units diagonally.

8. Dimensional Analysis Extend your table.
Find the number of seconds in two weeks.
Extend your table.

9. Think of a relationship: 1 wk = 7 days Cancel units diagonally.
Dimensional Analysis
Find the number of seconds in two weeks.
Think of a relationship: 1 wk = 7 days
Cancel units diagonally.

10. Add as many conversions as needed. Cancel units diagonally.
Dimensional Analysis
Find the number of seconds in two weeks.
Add as many conversions as needed.
Cancel units diagonally.

11. Notice the use of the bottom space.
Dimensional Analysis
Convert the density of 0.58 g/mL to lb/gallon (1 L = qt and 4 qt = 1 gal; 1kg = 2.2 lb)
Notice the use of the bottom space.

12. Ignore the bottom unit for a moment.
Dimensional Analysis
Convert the density of 0.58 g/mL to lb/gallon (1 L = qt and 4 qt = 1 gal; 1kg = 2.2 lb)
Ignore the bottom unit for a moment.
Concentrate on converting the top unit.

13. Continue converting the top. Stop when you get to lb…the goal.
Dimensional Analysis
Convert the density of 0.58 g/mL to lb/gallon (1 L = qt and 4 qt = 1 gal; 1kg = 2.2 lb)
Continue converting the top.
Stop when you get to lb…the goal.

14. Now, focus on the bottom units.
Dimensional Analysis
Convert the density of 0.58 g/mL to lb/gallon (1 L = qt and 4 qt = 1 gal; 1kg = 2.2 lb)
Now, focus on the bottom units.
It is OK to cancel units from a distance.

15. Continue until you reach the goal.
Dimensional Analysis
Convert the density of 0.58 g/mL to lb/gallon (1 L = qt and 4 qt = 1 gal; 1kg = 2.2 lb)
≈ 5 lb/gal
Continue until you reach the goal.

16. 1. 1849 yards = __________ milesF
Fill-In
iRespond Question
Mini-Quiz
yards = __________ miles
Hint: 5280 ft = 1 mile
and 1 yard = 3 feet
A.) 1.051;;
B.)
C.)
D.)
E.)

17. F
Fill-In
iRespond Question
2. If Boston and New York City are 190 miles apart, then the distance between the two cities is _______ km.
Hint: 1 km = 0.62 miles
A.) 310;;
B.)
C.)
*give your answer accurate to 1 decimal place.
D.)
E.)

18. F
Fill-In
iRespond Question
3. If a US car gets 26 miles/gallon on the highway, then the same car would be described in Europe as getting ___________ km/L.
Hint: 1 L = 1.06 qt
4 qt = 1 gal
1 km = 0.62 miles
A.) 11;;
B.)
C.)
D.)
*give your answer accurate to 1 decimal place.
E.)