It looks like you've uploaded a
completed temperature conversion worksheet with answers already provided. The worksheet includes:
- Converting Fahrenheit to Celsius (problems 1–10)
- Converting Celsius to Fahrenheit (problems 11–20)
- Mixed conversions (problems 21–30)
All answers are rounded to the nearest integer or one decimal place as instructed.
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🔍 Let's verify a few key conversions using standard formulas:
####
✔ Fahrenheit to Celsius Formula:
\[
°C = \frac{5}{9} \times (°F - 32)
\]
####
✔ Celsius to Fahrenheit Formula:
\[
°F = \frac{9}{5} \times °C + 32
\]
---
🔎 Example Verifications
Let’s check a few problems to confirm accuracy.
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#### 🔹 Problem 1: 140°F → ?°C
\[
°C = \frac{5}{9}(140 - 32) = \frac{5}{9}(108) = 60°C \quad \text{
✔ Correct}
\]
---
#### 🔹 Problem 5: 20°F → ?°C
\[
°C = \frac{5}{9}(20 - 32) = \frac{5}{9}(-12) ≈ -6.7 ≈ -7°C \quad \text{
✔ Correct (rounded)}
\]
---
#### 🔹 Problem 11: 35°C → ?°F
\[
°F = \frac{9}{5}(35) + 32 = 63 + 32 = 95°F \quad \text{
✔ Correct}
\]
---
#### 🔹 Problem 15: 160°C → ?°F
\[
°F = \frac{9}{5}(160) + 32 = 288 + 32 = 320°F \quad \text{
✔ Correct}
\]
---
#### 🔹 Problem 21: -1°C → ?°F
\[
°F = \frac{9}{5}(-1) + 32 = -1.8 + 32 = 30.2 ≈ 30°F \quad \text{
✔ Correct (rounded)}
\]
---
#### 🔹 Problem 29: 190°C → ?°F
\[
°F = \frac{9}{5}(190) + 32 = 342 + 32 = 374°F \quad \text{
✔ Correct}
\]
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✔ Overall Assessment:
All the answers on the worksheet appear
correct, and they follow the standard conversion formulas, with appropriate rounding.
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📌 Summary of Key Concepts:
-
Freezing point: 0°C = 32°F
-
Boiling point: 100°C = 212°F
- Use the formulas carefully when dealing with negative temperatures.
- Always round to the nearest whole number or one decimal place as specified.
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🧠 Tips for Students:
- Remember:
Subtract 32 first when converting from °F to °C.
- Multiply by 9/5 when going from °C to °F.
- Practice with extreme values (like -40°C = -40°F — the only point where both scales match).
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