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The U.S. and metric systems use different scales to measure temperature. The U.S. system uses degrees Fahrenheit, written °F . The metric system uses degrees Celsius, written °C . [link] shows the relationship between the two systems.

On the left side of the figure is a thermometer marked in degrees Celsius. The bottom of the thermometer begins with negative 20 degrees Celsius and ranges up to 100 degrees Celsius. There are tick marks on the thermometer every 5 degrees with every 10 degrees labeled. On the right side is a thermometer marked in degrees Fahrenheit. The bottom of the thermometer begins with negative 10 degrees Fahrenheit and ranges up to 212 degrees Fahrenheit. There are tick marks on the thermometer every 2 degrees with every 10 degrees labeled. Between the thermometers there is an arrow pointing on the left to 0 degrees Celsius and on the right to 32 degrees Fahrenheit. This is the temperature at which water freezes. Another arrow points on the left to 37 degrees Celsius and on the right to 98.6 degrees Fahrenheit. This is normal body temperature. A third arrow points on the left to 100 degrees Celsius and on the right to 212 degrees Fahrenheit. This is the temperature at which water boils.
A temperature of 37 °C is equivalent to 98.6 °F .

If we know the temperature in one system, we can use a formula to convert it to the other system.

Temperature conversion

To convert from Fahrenheit temperature, F , to Celsius temperature, C , use the formula

C = 5 9 ( F 32 )

To convert from Celsius temperature, C , to Fahrenheit temperature, F , use the formula

F = 9 5 C + 32

Convert 50 °F into degrees Celsius.

Solution

We will substitute 50 °F into the formula to find C .

Use the formula for converting °F to °C C = 5 9 ( F 32 )
. .
Simplify in parentheses. C = 5 9 ( 18 )
Multiply. C = 5
A temperature of 50°F is equivalent to 10°C.

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Convert the Fahrenheit temperatures to degrees Celsius: 59 °F .

15°C

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Convert the Fahrenheit temperatures to degrees Celsius: 41 °F .

5°C

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The weather forecast for Paris predicts a high of 20 °C. Convert the temperature into degrees Fahrenheit.

Solution

We will substitute 20 °C into the formula to find F .

Use the formula for converting °F to °C F = 9 5 C + 32
. .
Multiply. F = 36 + 32
Add. F = 68
So 20°C is equivalent to 68°F.

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Convert the Celsius temperatures to degrees Fahrenheit:

The temperature in Helsinki, Finland was 15 °C .

59°F

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Convert the Celsius temperatures to degrees Fahrenheit:

The temperature in Sydney, Australia was 10 °C .

50°F

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Practice makes perfect

Make Unit Conversions in the U.S. System

In the following exercises, convert the units.

A park bench is 6 feet long. Convert the length to inches.

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A floor tile is 2 feet wide. Convert the width to inches.

24 inches

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A ribbon is 18 inches long. Convert the length to feet.

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Carson is 45 inches tall. Convert his height to feet.

3.75 feet

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Jon is 6 feet 4 inches tall. Convert his height to inches.

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Faye is 4 feet 10 inches tall. Convert her height to inches.

58 inches

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A football field is 160 feet wide. Convert the width to yards.

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On a baseball diamond, the distance from home plate to first base is 30 yards. Convert the distance to feet.

90 feet

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Ulises lives 1.5 miles from school. Convert the distance to feet.

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Denver, Colorado, is 5,183 feet above sea level. Convert the height to miles.

0.98 miles

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A killer whale weighs 4.6 tons. Convert the weight to pounds.

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Blue whales can weigh as much as 150 tons. Convert the weight to pounds.

300,000 pounds

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An empty bus weighs 35,000 pounds. Convert the weight to tons.

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At take-off, an airplane weighs 220,000 pounds. Convert the weight to tons.

110 tons

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The voyage of the Mayflower took 2 months and 5 days. Convert the time to days.

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Lynn’s cruise lasted 6 days and 18 hours. Convert the time to hours.

162 hours

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Rocco waited 1 1 2 hours for his appointment. Convert the time to seconds.

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Misty’s surgery lasted 2 1 4 hours. Convert the time to seconds.

8100 seconds

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How many teaspoons are in a pint?

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How many tablespoons are in a gallon?

256 tablespoons

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Questions & Answers

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biomolecules are e building blocks of every organics and inorganic materials.
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research.net
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Source:  OpenStax, Prealgebra. OpenStax CNX. Jul 15, 2016 Download for free at http://legacy.cnx.org/content/col11756/1.9
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