1. Converting Customary Measurement Units

2. Converting Customary Measurement Units
Common Customary Measurements
Length
Weight
Capacity
1 foot = 12 inches
1 pound = 16 ounces
1 cup = 8 fluid ounces
1 yard = 36 inches
1 ton = 2,000 pounds
1 pint = 2 cups
1 yard = 3 feet
1 quart = 2 pints
1 mile = 5,280 feet
1 quart = 4 cups
1 mile = 1,760 yards
1 gallon = 4 quarts
1 gallon = 16 cups
1 gallon = 128 fl. ounces

3. Converting Customary Measurement Units
Option 1: Using a Conversion Factor
Example 1: Convert 93 inches to feet.
93 inches = ___ feet
93 in. x 1 ft. =
12 in.
in.
93 = 7.75 ft. 12
Original problem
Strategy:
* Identify the conversion info in the conversion chart.
* Multiply the measurement by the conversion factor.
** Important: For the conversion unit, write the unit you are converting to in the numerator and the unit you are converting from in the denominator **
Multiply the measurement by the conversion factor.
Cancel out the units and multiply.
Final answer
93 inches are equal to 7.75 feet.

4. Converting Customary Measurement Units
Option 1: Using a Conversion Factor
Example 2: Convert 1/4 cup to ounces.
¼ cup = ___ oz.
1 c x 8 oz. = c
1 c x 8 oz. = c
8 = 2 ounces 4
Original problem
Strategy:
* Identify the conversion info in the conversion chart.
* Multiply the measurement by the conversion factor.
** Important: For the conversion unit, write the unit you are converting to in the numerator and the unit you are converting from in the denominator **
Multiply the measurement by the conversion factor.
Cancel out the units and multiply.
Final answer
1/4 cup is equal to 2 ounces.

5. Option 2: Using Proportions
Converting Customary Measurement Units
Option 2: Using Proportions
Example 3: Convert 48 quarts to gallons.
48 quarts = ___ gallons
4 qt. = 48 qt. =
1 gal. x gal.
4 = 48 = x
4(x) = 48(1)
4x = 48
x = 12
Original problem
Strategy:
* Identify the conversion info in the conversion chart.
* Set up a proportion with the conversion ratio on one side and the missing quantity on the other.
* Solve for the unknown quantity.
Multiply the measurement by the conversion factor.
Cancel out the units and multiply.
Final answer
48 quarts are equal to 12 gallons.

6. Comparing Different Units
Converting Customary Measurement Units
Comparing Different Units
Example 4: Compare 4 miles to 5,000 yards.
4 mi. __ 5,000 yd.
4 mi. x 1,760 yd. =
1 mi.
mi.
7,040 = 7,040 yd. 1
Original problem
Strategy:
* Determine which unit you want both measurements to have.
* Then, convert both measurements to the same unit.
* Compare the measurements and place the correct symbol between them.
Multiply the measurement by the conversion factor.
Cancel out the units and multiply.
Final answer
Conclusion: 4 miles equals 7,040 yards.
Therefore, 4 mi. _>_ 5,000 yd.

7. Converting Customary Measurement Units
Try these: Convert the measurements listed below using the conversion factor method.
1.) 10 pints to quarts 2.) 1/2 yards to feet

8. Converting Customary Measurement Units
Try these: Convert the measurements listed below using proportions.
1.) 10,000 pounds to tons 2.) 1& 1/2 miles to yards

9. Real-Life Application
Converting Customary Measurement Units
Real-Life Application
Bhakti needs feet of fabric to make a costume for a play. How many yards of fabric does she need?