Conversion Between Metric And Us Customary Units Worksheet Page 6
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1
2
3
4
5
6
7
8
9
10226
180
Therefore, to convert from °C to °F, multiply °C by a factor of 1.80
=
and add 32°.
100
°F = 1.80(°C) + 32°
Similarly, to convert from °F to °C, subtract 32°F and divide by 1.80.
(
)
o
F 32
−
o
C
=
1.80
Conversion Table
On a hot day, a
°F = 1.80(°C) + 32
°C to °F
temperature of 38°C
is about 100°F and a
room temperature of
(
)
73°F is about 23°C.
o
F 32
−
o
°F to °C
C
=
1.80
Example 7.3-g
Converting Between the Celsius (° C) Scale and Fahrenheit (° F) Scale
Convert the following:
(i)
25°C to Fahrenheit
(ii)
90°F to Celsius
Solution
(i)
25°C to Fahrenheit:
(ii)
90°F to Celsius:
(
)
°F = 1.80(°C) + 32
o
−
F 32
°C = =
= 1.80(25) + 32
1.80
= 77°F
(
)
90 32
−
Therefore, 25°C is equal to 77°F.
= =
1.80
58
= =
= 32.222222...°C = 32.22°C
1.80
Therefore, 90°F is equal to 32.22°C.
Example 7.3-h
Comparing Temperatures Measured Using Different Scales
Which is the higher temperature: 80°C or 175°F?
Solution
Convert 80°C to °F and compare with 175°F.
Convert 175°F to °C and compare with 80°C.
(
)
°F = 1.80(°C) + 32
o
(
)
F 32
−
175 32
−
°C =
=
= 1.80(80) + 32
1.80
1.80
or
= 176°F
= 79.44°C
i.e., 80°C = 176°F > 175°F
i.e., 175°F = 79.44°C < 80°C
i.e., 80°C > 175°F
Therefore, 80°C is a higher temperature than 175°F.
Chapter 7 | Units of Measurement
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