1. U.S. Customary System Unit Multipliers
TLW be able to convert measurements.

2. Definitions
When we attach words to numbers, we call the combination a denominate number where the words are the units.
The units of the denominate number, 4 feet are feet.

3. Definitions
The Customary System is used as the basic unit of measurement in the United States.
The basic units of the Customary System are the inch, foot, yard, and mile.

4. Length Equivalents
12 inches (in.) = 1 foot (ft.) 3 feet (ft.) = 1 yard (yd.) 5280 feet (ft) = 1 mile (mi.)

5. Weight Equivalents
The basic unit of weight are the ounce, pound, and ton. 16 ounces (oz.) = 1 pound (lb.) 2000 pounds (lbs.) = 1 ton

6. Liquid Equivalents
8 fluid ounces (fl. oz.) = 1 cup ( c) 2 cup ( c) = 1 pint (pt) 2 pint (pt) = 1 quart (qt) 4 quarts (qt) = 1 gallon (gal)

7. Unit Multipliers
Unit Multipliers are fractions that have a denominator with an equal value as its numerator.
For example, unit multipliers would include:
12 in yd ft
1 ft ft mi.

8. Definitions
We can use unit multipliers to convert one unit of measurement to another.
This will change the unit without changing the value.

9. For example
To convert 5 feet to inches, we use the unit multiplier that has the relationship between feet and inches.
5 ft x in = in ft

10. Example
Use unit multipliers to convert 420 feet to yards

11. Example
Use unit multipliers to convert 72 inches to feet

12. Multiple Unit Multipliers
Convert 360 inches to yards

13. Answer
We will first convert inches to feet and then the feet to yards.
360 in. x 1 ft. x yd = = 10 yd
12 in ft (12)(3)

14. Example
Convert 48 gallons to cups

15. Answer
48 gal x 4 qts. x 2 pt. x 2 cups = (48)(4)(2)(2) 1 gal 1 qt. 1 pint cups

16. Approximations Between System Lengths
1 inch ≈ 2.5 centimeters 1 centimeter ≈ 0.4 inch 1 yard ≈ 0.9 meter 1 meter ≈ 1.1 yards 1 mile ≈ 1.6 kilometers 1 kilometer ≈ 0.6 mile

17. Approximate Conversions Between System Units of Weight & Mass
1 ounce ≈ 28 grams 1 pound ≈ 0.45 kilogram 1 kilogram ≈ 2.2 pounds 1 ton ≈ 0.9 metric ton 1 metric ton ≈ 1.1 tons

18. Approximate Conversions Between System Units of Capacity
1 quart ≈ 0.95 liter 1 liter ≈ 1.05 quart

19. Examples Which is longer: 40 centimeters or 1.5 feet? How much longer?
A Rottweiler weighs 128 pounds. What is the weight in kilograms?
Approximately how many milliliters are equal to 1 fluid ounce?

20. Try It Yourself!
A football player has a mass of 125 kilograms. Approximately what is the player’s weight in pounds?

21. Temperature
The unit of temperature in the U.S. Customary System is degrees Fahrenheit.
The unit of temperature in the metric system is degrees Celsius.

22. Temperature Water freezes 32 ºF 0 ºC Room temperature 72 ºF 22.2 ºC
U.S. Customary System
Metric
System
Water freezes
32 ºF
0 ºC
Room temperature
72 ºF
22.2 ºC
Normal human body temp.
98.6 ºF
37 ºC
Water boils
212 ºF
100 ºC

23. Temperature
To convert from degrees Celsius to degrees Fahrenheit, use the following formula:
ºF = (9/5 · ºC) + 32
To convert from degrees Fahrenheit to degrees Celsius use:
ºC = 5/9(ºF – 32)