1. Math on the Mind 10.75¢/oz. 425 yards Solve.
Find the unit rate of a 12-oz bottle of orange juice
that sells for $1.29.
A building is 1,275 feet tall.
How many yards tall is this building?
10.75¢/oz.
425 yards

2. Dimensional Analysis
Unit 4, Lesson 10

3. Conversion Factors
A conversion factor is a ratio of equivalent measurements.

4. Example Problem:
A roll of Christmas gift wrap contains 2.5 meters of paper. What is the length of the paper in yards?

5. Example Problem:
A roll of Christmas gift wrap contains 2.5 meters of paper. What is the length of the paper in yards?
Step 1:    Find the conversion factor that gives a ratio between meters and yards.
Conversion factor    
1 meter = 1.09 yards

6. Example Problem:
A roll of Christmas gift wrap contains 2.5 meters of paper. What is the length of the paper in yards?
Step 2: Write the conversion factor as a fraction with the unit you want to convert to on top and set the problem up as a proportion.
2.5 meters x  1.09 yards  =  
 1 meter yards

7. Using Conversion Factors

8. Practice:

9. Practice:

10. Example:
The fastest recorded speed for an eastern gray kangaroo is 40 mi per hour. What is the kangaroo’s speed in feet per second?
40 mi
1 h
5280 ft
1 mi
60 min
1 min
60 s •
= 58.6 ft/s
The kangaroo’s speed is about 58.7 ft/s.

11. Customary Units