Temperature Conversion Worksheet -1 1) 82 F C 9 ... - Math A Tube - Free Printable
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Step-by-step solution for: Temperature Conversion Worksheet -1 1) 82 F C 9 ... - Math A Tube
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Show Answer Key & Explanations
Step-by-step solution for: Temperature Conversion Worksheet -1 1) 82 F C 9 ... - Math A Tube
To solve the temperature conversion problems from Fahrenheit (°F) to Celsius (°C), we use the following formula:
\[
°C = \frac{5}{9} \times (°F - 32)
\]
Let's solve each problem step by step.
---
\[
°C = \frac{5}{9} \times (82 - 32)
\]
\[
°C = \frac{5}{9} \times 50
\]
\[
°C = \frac{250}{9}
\]
\[
°C \approx 27.78
\]
Answer: \( 27.78°C \)
---
\[
°C = \frac{5}{9} \times (1 - 32)
\]
\[
°C = \frac{5}{9} \times (-31)
\]
\[
°C = \frac{-155}{9}
\]
\[
°C \approx -17.22
\]
Answer: \( -17.22°C \)
---
\[
°C = \frac{5}{9} \times (91 - 32)
\]
\[
°C = \frac{5}{9} \times 59
\]
\[
°C = \frac{295}{9}
\]
\[
°C \approx 32.78
\]
Answer: \( 32.78°C \)
---
\[
°C = \frac{5}{9} \times (-14 - 32)
\]
\[
°C = \frac{5}{9} \times (-46)
\]
\[
°C = \frac{-230}{9}
\]
\[
°C \approx -25.56
\]
Answer: \( -25.56°C \)
---
\[
°C = \frac{5}{9} \times (62 - 32)
\]
\[
°C = \frac{5}{9} \times 30
\]
\[
°C = \frac{150}{9}
\]
\[
°C \approx 16.67
\]
Answer: \( 16.67°C \)
---
\[
°C = \frac{5}{9} \times (16 - 32)
\]
\[
°C = \frac{5}{9} \times (-16)
\]
\[
°C = \frac{-80}{9}
\]
\[
°C \approx -8.89
\]
Answer: \( -8.89°C \)
---
\[
°C = \frac{5}{9} \times (83 - 32)
\]
\[
°C = \frac{5}{9} \times 51
\]
\[
°C = \frac{255}{9}
\]
\[
°C \approx 28.33
\]
Answer: \( 28.33°C \)
---
\[
°C = \frac{5}{9} \times (87 - 32)
\]
\[
°C = \frac{5}{9} \times 55
\]
\[
°C = \frac{275}{9}
\]
\[
°C \approx 30.56
\]
Answer: \( 30.56°C \)
---
\[
°C = \frac{5}{9} \times (94 - 32)
\]
\[
°C = \frac{5}{9} \times 62
\]
\[
°C = \frac{310}{9}
\]
\[
°C \approx 34.44
\]
Answer: \( 34.44°C \)
---
\[
°C = \frac{5}{9} \times (98 - 32)
\]
\[
°C = \frac{5}{9} \times 66
\]
\[
°C = \frac{330}{9}
\]
\[
°C \approx 36.67
\]
Answer: \( 36.67°C \)
---
\[
°C = \frac{5}{9} \times (9 - 32)
\]
\[
°C = \frac{5}{9} \times (-23)
\]
\[
°C = \frac{-115}{9}
\]
\[
°C \approx -12.78
\]
Answer: \( -12.78°C \)
---
\[
°C = \frac{5}{9} \times (42 - 32)
\]
\[
°C = \frac{5}{9} \times 10
\]
\[
°C = \frac{50}{9}
\]
\[
°C \approx 5.56
\]
Answer: \( 5.56°C \)
---
\[
°C = \frac{5}{9} \times (0 - 32)
\]
\[
°C = \frac{5}{9} \times (-32)
\]
\[
°C = \frac{-160}{9}
\]
\[
°C \approx -17.78
\]
Answer: \( -17.78°C \)
---
\[
°C = \frac{5}{9} \times (81 - 32)
\]
\[
°C = \frac{5}{9} \times 49
\]
\[
°C = \frac{245}{9}
\]
\[
°C \approx 27.22
\]
Answer: \( 27.22°C \)
---
\[
°C = \frac{5}{9} \times (41 - 32)
\]
\[
°C = \frac{5}{9} \times 9
\]
\[
°C = \frac{45}{9}
\]
\[
°C = 5
\]
Answer: \( 5°C \)
---
\[
°C = \frac{5}{9} \times (85 - 32)
\]
\[
°C = \frac{5}{9} \times 53
\]
\[
°C = \frac{265}{9}
\]
\[
°C \approx 29.44
\]
Answer: \( 29.44°C \)
---
\[
\boxed{
\begin{array}{ll}
1. & 27.78°C \\
2. & -17.22°C \\
3. & 32.78°C \\
4. & -25.56°C \\
5. & 16.67°C \\
6. & -8.89°C \\
7. & 28.33°C \\
8. & 30.56°C \\
9. & 34.44°C \\
10. & 36.67°C \\
11. & -12.78°C \\
12. & 5.56°C \\
13. & -17.78°C \\
14. & 27.22°C \\
15. & 5°C \\
16. & 29.44°C \\
\end{array}
}
\]
\[
°C = \frac{5}{9} \times (°F - 32)
\]
Let's solve each problem step by step.
---
1. \( 82°F \)
\[
°C = \frac{5}{9} \times (82 - 32)
\]
\[
°C = \frac{5}{9} \times 50
\]
\[
°C = \frac{250}{9}
\]
\[
°C \approx 27.78
\]
Answer: \( 27.78°C \)
---
2. \( 1°F \)
\[
°C = \frac{5}{9} \times (1 - 32)
\]
\[
°C = \frac{5}{9} \times (-31)
\]
\[
°C = \frac{-155}{9}
\]
\[
°C \approx -17.22
\]
Answer: \( -17.22°C \)
---
3. \( 91°F \)
\[
°C = \frac{5}{9} \times (91 - 32)
\]
\[
°C = \frac{5}{9} \times 59
\]
\[
°C = \frac{295}{9}
\]
\[
°C \approx 32.78
\]
Answer: \( 32.78°C \)
---
4. \( -14°F \)
\[
°C = \frac{5}{9} \times (-14 - 32)
\]
\[
°C = \frac{5}{9} \times (-46)
\]
\[
°C = \frac{-230}{9}
\]
\[
°C \approx -25.56
\]
Answer: \( -25.56°C \)
---
5. \( 62°F \)
\[
°C = \frac{5}{9} \times (62 - 32)
\]
\[
°C = \frac{5}{9} \times 30
\]
\[
°C = \frac{150}{9}
\]
\[
°C \approx 16.67
\]
Answer: \( 16.67°C \)
---
6. \( 16°F \)
\[
°C = \frac{5}{9} \times (16 - 32)
\]
\[
°C = \frac{5}{9} \times (-16)
\]
\[
°C = \frac{-80}{9}
\]
\[
°C \approx -8.89
\]
Answer: \( -8.89°C \)
---
7. \( 83°F \)
\[
°C = \frac{5}{9} \times (83 - 32)
\]
\[
°C = \frac{5}{9} \times 51
\]
\[
°C = \frac{255}{9}
\]
\[
°C \approx 28.33
\]
Answer: \( 28.33°C \)
---
8. \( 87°F \)
\[
°C = \frac{5}{9} \times (87 - 32)
\]
\[
°C = \frac{5}{9} \times 55
\]
\[
°C = \frac{275}{9}
\]
\[
°C \approx 30.56
\]
Answer: \( 30.56°C \)
---
9. \( 94°F \)
\[
°C = \frac{5}{9} \times (94 - 32)
\]
\[
°C = \frac{5}{9} \times 62
\]
\[
°C = \frac{310}{9}
\]
\[
°C \approx 34.44
\]
Answer: \( 34.44°C \)
---
10. \( 98°F \)
\[
°C = \frac{5}{9} \times (98 - 32)
\]
\[
°C = \frac{5}{9} \times 66
\]
\[
°C = \frac{330}{9}
\]
\[
°C \approx 36.67
\]
Answer: \( 36.67°C \)
---
11. \( 9°F \)
\[
°C = \frac{5}{9} \times (9 - 32)
\]
\[
°C = \frac{5}{9} \times (-23)
\]
\[
°C = \frac{-115}{9}
\]
\[
°C \approx -12.78
\]
Answer: \( -12.78°C \)
---
12. \( 42°F \)
\[
°C = \frac{5}{9} \times (42 - 32)
\]
\[
°C = \frac{5}{9} \times 10
\]
\[
°C = \frac{50}{9}
\]
\[
°C \approx 5.56
\]
Answer: \( 5.56°C \)
---
13. \( 0°F \)
\[
°C = \frac{5}{9} \times (0 - 32)
\]
\[
°C = \frac{5}{9} \times (-32)
\]
\[
°C = \frac{-160}{9}
\]
\[
°C \approx -17.78
\]
Answer: \( -17.78°C \)
---
14. \( 81°F \)
\[
°C = \frac{5}{9} \times (81 - 32)
\]
\[
°C = \frac{5}{9} \times 49
\]
\[
°C = \frac{245}{9}
\]
\[
°C \approx 27.22
\]
Answer: \( 27.22°C \)
---
15. \( 41°F \)
\[
°C = \frac{5}{9} \times (41 - 32)
\]
\[
°C = \frac{5}{9} \times 9
\]
\[
°C = \frac{45}{9}
\]
\[
°C = 5
\]
Answer: \( 5°C \)
---
16. \( 85°F \)
\[
°C = \frac{5}{9} \times (85 - 32)
\]
\[
°C = \frac{5}{9} \times 53
\]
\[
°C = \frac{265}{9}
\]
\[
°C \approx 29.44
\]
Answer: \( 29.44°C \)
---
Final Answers:
\[
\boxed{
\begin{array}{ll}
1. & 27.78°C \\
2. & -17.22°C \\
3. & 32.78°C \\
4. & -25.56°C \\
5. & 16.67°C \\
6. & -8.89°C \\
7. & 28.33°C \\
8. & 30.56°C \\
9. & 34.44°C \\
10. & 36.67°C \\
11. & -12.78°C \\
12. & 5.56°C \\
13. & -17.78°C \\
14. & 27.22°C \\
15. & 5°C \\
16. & 29.44°C \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of temperature conversion worksheet pdf.
