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The U.S. and metric systems use different scales to measure temperature. The U.S. system uses degrees Fahrenheit, written $\text{\xb0F}.$ The metric system uses degrees Celsius, written $\text{\xb0C}.$ [link] shows the relationship between the two systems.
If we know the temperature in one system, we can use a formula to convert it to the other system.
To convert from Fahrenheit temperature, $\text{F},$ to Celsius temperature, $\text{C},$ use the formula
To convert from Celsius temperature, $\text{C},$ to Fahrenheit temperature, $\text{F},$ use the formula
Convert $50\text{\xb0F}$ into degrees Celsius.
We will substitute
$50\text{\xb0F}$ into the formula to find
$\text{C}.$
Use the formula for converting °F to °C | $C=\frac{5}{9}(F-32)$ |
Simplify in parentheses. | $C=\frac{5}{9}(18)$ |
Multiply. | $C=5$ |
A temperature of 50°F is equivalent to 10°C. |
Convert the Fahrenheit temperatures to degrees Celsius: $59\text{\xb0F}.$
15°C
Convert the Fahrenheit temperatures to degrees Celsius: $41\text{\xb0F}.$
5°C
The weather forecast for Paris predicts a high of $20\text{\xb0C.}$ Convert the temperature into degrees Fahrenheit.
We will substitute
$20\text{\xb0C}$ into the formula to find
$\text{F}.$
Use the formula for converting °F to °C | $F=\frac{9}{5}C+32$ |
Multiply. | $F=36+32$ |
Add. | $F=68$ |
So 20°C is equivalent to 68°F. |
Convert the Celsius temperatures to degrees Fahrenheit:
The temperature in Helsinki, Finland was $15\text{\xb0C}.$
59°F
Convert the Celsius temperatures to degrees Fahrenheit:
The temperature in Sydney, Australia was $10\text{\xb0C}.$
50°F
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.
A floor tile is $2$ feet wide. Convert the width to inches.
24 inches
A ribbon is $18$ inches long. Convert the length to feet.
Carson is $45$ inches tall. Convert his height to feet.
3.75 feet
Jon is $6$ feet $4$ inches tall. Convert his height to inches.
Faye is $4$ feet $10$ inches tall. Convert her height to inches.
58 inches
A football field is $160$ feet wide. Convert the width to yards.
On a baseball diamond, the distance from home plate to first base is $30$ yards. Convert the distance to feet.
90 feet
Ulises lives $1.5$ miles from school. Convert the distance to feet.
Denver, Colorado, is $\mathrm{5,183}$ feet above sea level. Convert the height to miles.
0.98 miles
A killer whale weighs $4.6$ tons. Convert the weight to pounds.
Blue whales can weigh as much as $150$ tons. Convert the weight to pounds.
300,000 pounds
An empty bus weighs $\mathrm{35,000}$ pounds. Convert the weight to tons.
At take-off, an airplane weighs $\mathrm{220,000}$ pounds. Convert the weight to tons.
110 tons
The voyage of the Mayflower took $2$ months and $5$ days. Convert the time to days.
Lynn’s cruise lasted $6$ days and $18$ hours. Convert the time to hours.
162 hours
Rocco waited $1\frac{1}{2}$ hours for his appointment. Convert the time to seconds.
Misty’s surgery lasted $2\frac{1}{4}$ hours. Convert the time to seconds.
8100 seconds
How many teaspoons are in a pint?
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