U.S. Customary System Unit Multipliers

TLW be able to convert measurements.

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.

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.

12 inches (in.) = 1 foot (ft.)

3 feet (ft.) = 1 yard (yd.)

5280 feet (ft) = 1 mile (mi.)

The basic unit of weight are the ounce, pound, and ton.

16 ounces (oz.) = 1 pound (lb.)

2000 pounds (lbs.) = 1 ton

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)

Unit Multipliers are fractions that have a denominator with an equal value as its numerator.

For example, unit multipliers would include:

12 in. 1 yd 5280 ft 1 ft. 3 ft. 1 mi.

We can use unit multipliers to convert one unit of measurement to another.

This will change the unit without changing the value.

To convert 5 feet to inches, we use the unit multiplier that has the relationship between feet and inches.

5 ft x 12 in = 60 in 1 1 ft

Use unit multipliers to convert 420 feet to yards

Use unit multipliers to convert 72 inches to feet

Convert 360 inches to yards

We will first convert inches to feet and then the feet to yards.

360 in. x 1 ft. x 1 yd = 360 = 10 yd 12 in. 3 ft. (12)(3)

Convert 48 gallons to cups

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

768 cups

1 inch ≈ 2.5 centimeters1 centimeter ≈ 0.4 inch1 yard ≈ 0.9 meter1 meter ≈ 1.1 yards1 mile ≈ 1.6 kilometers1 kilometer ≈ 0.6 mile

1 ounce ≈ 28 grams1 pound ≈ 0.45 kilogram1 kilogram ≈ 2.2 pounds1 ton ≈ 0.9 metric ton1 metric ton ≈ 1.1 tons

1 quart ≈ 0.95 liter1 liter ≈ 1.05 quart

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?

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

The unit of temperature in the U.S. Customary System is degrees Fahrenheit.

The unit of temperature in the metric system is degrees Celsius.

U.S. Customary U.S. Customary SystemSystem

MetricMetric

SystemSystem

Water Water freezesfreezes

32 32 ºFºF 0 0 ºCºC

Room Room temperaturetemperature

72 72 ºFºF 22.2 22.2 ºCºC

Normal Normal human body human body temp.temp.

98.6 98.6 ºFºF 37 37 ºCºC

Water boilsWater boils 212 212 ºFºF 100 100 ºCºC

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)