Solve.
1.Find the unit rate of a 12-oz bottle of orange juice that sells for $1.29.
2.A building is 1,275 feet tall. How many yards tall is this building?
10.75¢/oz.
Math on the Mind
425 yards
Dimensional Analysis
Unit 4, Lesson 10
Conversion Factors
• A conversion factor is a ratio of equivalent measurements.
Example Problem:A roll of Christmas gift wrap contains 2.5 meters of paper. What is the length of the paper in yards?
http://www2.franciscan.edu/academic/mathsci/mathscienceintegation/MathScienceIntegation-620.htm
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
http://www2.franciscan.edu/academic/mathsci/mathscienceintegation/MathScienceIntegation-620.htm
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 wantwant to convert to on top and set the problem up as a proportion.
http://www2.franciscan.edu/academic/mathsci/mathscienceintegation/MathScienceIntegation-620.htm
2.5 meters x 1.09 yards = 1 meter2.725 yards
Using Conversion Factors
Practice:
Practice:
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 mi1 h
5280 ft1 mi
1 h 60 min
1 min60 s
• • •
The kangaroo’s speed is about 58.7 ft/s.
= 58.6 ft/s
Example:
Customary Units
• http://www.brainpop.com/math/numbersandoperations/customaryunits/preview.weml
http://www.hillsboroschools.net/team6a/connor/math/Ch3%20--%20Decimals%20and%20Metrics/MeasurementPics/units_of_measure.gif