Here's the complete solution to the
Temperature Conversion Worksheet, with step-by-step explanations for each conversion using the provided formulas.
---
## 🔢
Formulas (as given):
-
Fahrenheit to Celsius:
`C° = 5/9 (F° - 32)`
-
Celsius to Fahrenheit:
`F° = 9/5 C° + 32`
-
Celsius to Kelvin:
`K° = C° + 273.15`
-
Kelvin to Celsius:
`C° = K° - 273.15`
---
##
✔ Part 1: Convert the following to Fahrenheit
Use: `F° = 9/5 C° + 32`
1)
10°C
F = (9/5 × 10) + 32 = 18 + 32 =
50°F
2)
30°C
F = (9/5 × 30) + 32 = 54 + 32 =
86°F
3)
40°C
F = (9/5 × 40) + 32 = 72 + 32 =
104°F
4)
37°C
F = (9/5 × 37) + 32 = 66.6 + 32 =
98.6°F *(Normal human body temperature)*
5)
0°C
F = (9/5 × 0) + 32 = 0 + 32 =
32°F *(Freezing point of water)*
---
##
✔ Part 2: Convert the following to Celsius
Use: `C° = 5/9 (F° - 32)`
6)
32°F
C = 5/9 (32 - 32) = 5/9 × 0 =
0°C
7)
45°F
C = 5/9 (45 - 32) = 5/9 × 13 ≈ 7.22 →
7.2°C (rounded to one decimal)
8)
70°F
C = 5/9 (70 - 32) = 5/9 × 38 ≈ 21.11 →
21.1°C
9)
80°F
C = 5/9 (80 - 32) = 5/9 × 48 ≈ 26.67 →
26.7°C
10)
90°F
C = 5/9 (90 - 32) = 5/9 × 58 ≈ 32.22 →
32.2°C
---
##
✔ Part 3: Convert the following to Kelvin
Use: `K° = C° + 273.15`
11)
212°F → First convert to Celsius, then to Kelvin
C = 5/9 (212 - 32) = 5/9 × 180 = 100°C
K = 100 + 273.15 =
373.15 K *(Boiling point of water)*
12)
0°C
K = 0 + 273.15 =
273.15 K
13)
-50°C
K = -50 + 273.15 =
223.15 K
14)
90°C
K = 90 + 273.15 =
363.15 K
15)
-20°C
K = -20 + 273.15 =
253.15 K
---
##
✔ Part 4: Convert the following to Celsius
Use: `C° = K° - 273.15`
16)
100 K
C = 100 - 273.15 =
-173.15°C
17)
200 K
C = 200 - 273.15 =
-73.15°C
18)
273 K
C = 273 - 273.15 =
-0.15°C *(Very close to freezing!)*
19)
350 K
C = 350 - 273.15 =
76.85°C
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## 📝 Final Answers (Fill-in-the-blank):
Convert to Fahrenheit:
1)
50°F
2)
86°F
3)
104°F
4)
98.6°F
5)
32°F
Convert to Celsius:
6)
0°C
7)
7.2°C
8)
21.1°C
9)
26.7°C
10)
32.2°C
Convert to Kelvin:
11)
373.15 K
12)
273.15 K
13)
223.15 K
14)
363.15 K
15)
253.15 K
Convert to Celsius (from Kelvin):
16)
-173.15°C
17)
-73.15°C
18)
-0.15°C
19)
76.85°C
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✔ All answers are calculated using the exact formulas provided. You can double-check any result by reversing the conversion — for example, converting 50°F back to Celsius should give you 10°C.
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Parent Tip: Review the logic above to help your child master the concept of celsius to fahrenheit worksheet.
