Temperature Conversion Worksheet - Free Printable
Educational worksheet: Temperature Conversion Worksheet. Download and print for classroom or home learning activities.
GIF
201×260
9.9 KB
Free · Personal Use
Quality Assured by Worksheets Library Team
Reviewed for educational accuracy and age-appropriateness
ID: #1638452
⭐
Show Answer Key & Explanations
Step-by-step solution for: Temperature Conversion Worksheet
▼
Show Answer Key & Explanations
Step-by-step solution for: Temperature Conversion Worksheet
The task involves converting temperatures between Celsius (°C) and Fahrenheit (°F). The formulas for conversion are as follows:
1. From Celsius to Fahrenheit:
\[
F = C \times \frac{9}{5} + 32
\]
where \( F \) is the temperature in Fahrenheit and \( C \) is the temperature in Celsius.
2. From Fahrenheit to Celsius:
\[
C = (F - 32) \times \frac{5}{9}
\]
where \( C \) is the temperature in Celsius and \( F \) is the temperature in Fahrenheit.
---
#### Part 1: Convert Celsius to Fahrenheit
We will use the formula:
\[
F = C \times \frac{9}{5} + 32
\]
1. 16°C:
\[
F = 16 \times \frac{9}{5} + 32 = 16 \times 1.8 + 32 = 28.8 + 32 = 60.8°F
\]
2. 4°C:
\[
F = 4 \times \frac{9}{5} + 32 = 4 \times 1.8 + 32 = 7.2 + 32 = 39.2°F
\]
3. 23°C:
\[
F = 23 \times \frac{9}{5} + 32 = 23 \times 1.8 + 32 = 41.4 + 32 = 73.4°F
\]
4. 16°C:
\[
F = 16 \times \frac{9}{5} + 32 = 16 \times 1.8 + 32 = 28.8 + 32 = 60.8°F
\]
5. 17°C:
\[
F = 17 \times \frac{9}{5} + 32 = 17 \times 1.8 + 32 = 30.6 + 32 = 62.6°F
\]
6. 0°C:
\[
F = 0 \times \frac{9}{5} + 32 = 0 \times 1.8 + 32 = 0 + 32 = 32°F
\]
7. 210°C:
\[
F = 210 \times \frac{9}{5} + 32 = 210 \times 1.8 + 32 = 378 + 32 = 410°F
\]
#### Part 2: Convert Fahrenheit to Celsius
We will use the formula:
\[
C = (F - 32) \times \frac{5}{9}
\]
1. 35°F:
\[
C = (35 - 32) \times \frac{5}{9} = 3 \times \frac{5}{9} = \frac{15}{9} = 1.67°C
\]
2. 72°F:
\[
C = (72 - 32) \times \frac{5}{9} = 40 \times \frac{5}{9} = \frac{200}{9} \approx 22.22°C
\]
3. 16°F:
\[
C = (16 - 32) \times \frac{5}{9} = -16 \times \frac{5}{9} = \frac{-80}{9} \approx -8.89°C
\]
4. 11°F:
\[
C = (11 - 32) \times \frac{5}{9} = -21 \times \frac{5}{9} = \frac{-105}{9} \approx -11.67°C
\]
5. 215°F:
\[
C = (215 - 32) \times \frac{5}{9} = 183 \times \frac{5}{9} = \frac{915}{9} \approx 101.67°C
\]
6. 20°F:
\[
C = (20 - 32) \times \frac{5}{9} = -12 \times \frac{5}{9} = \frac{-60}{9} \approx -6.67°C
\]
---
#### Celsius to Fahrenheit:
1. \( 16°C = 60.8°F \)
2. \( 4°C = 39.2°F \)
3. \( 23°C = 73.4°F \)
4. \( 16°C = 60.8°F \)
5. \( 17°C = 62.6°F \)
6. \( 0°C = 32°F \)
7. \( 210°C = 410°F \)
#### Fahrenheit to Celsius:
1. \( 35°F = 1.67°C \)
2. \( 72°F = 22.22°C \)
3. \( 16°F = -8.89°C \)
4. \( 11°F = -11.67°C \)
5. \( 215°F = 101.67°C \)
6. \( 20°F = -6.67°C \)
---
\[
\boxed{
\begin{array}{c|c}
\text{Celsius to Fahrenheit} & \text{Fahrenheit to Celsius} \\
\hline
16°C = 60.8°F & 35°F = 1.67°C \\
4°C = 39.2°F & 72°F = 22.22°C \\
23°C = 73.4°F & 16°F = -8.89°C \\
16°C = 60.8°F & 11°F = -11.67°C \\
17°C = 62.6°F & 215°F = 101.67°C \\
0°C = 32°F & 20°F = -6.67°C \\
210°C = 410°F &
\end{array}
}
\]
Conversion Formulas:
1. From Celsius to Fahrenheit:
\[
F = C \times \frac{9}{5} + 32
\]
where \( F \) is the temperature in Fahrenheit and \( C \) is the temperature in Celsius.
2. From Fahrenheit to Celsius:
\[
C = (F - 32) \times \frac{5}{9}
\]
where \( C \) is the temperature in Celsius and \( F \) is the temperature in Fahrenheit.
---
Step-by-Step Solution:
#### Part 1: Convert Celsius to Fahrenheit
We will use the formula:
\[
F = C \times \frac{9}{5} + 32
\]
1. 16°C:
\[
F = 16 \times \frac{9}{5} + 32 = 16 \times 1.8 + 32 = 28.8 + 32 = 60.8°F
\]
2. 4°C:
\[
F = 4 \times \frac{9}{5} + 32 = 4 \times 1.8 + 32 = 7.2 + 32 = 39.2°F
\]
3. 23°C:
\[
F = 23 \times \frac{9}{5} + 32 = 23 \times 1.8 + 32 = 41.4 + 32 = 73.4°F
\]
4. 16°C:
\[
F = 16 \times \frac{9}{5} + 32 = 16 \times 1.8 + 32 = 28.8 + 32 = 60.8°F
\]
5. 17°C:
\[
F = 17 \times \frac{9}{5} + 32 = 17 \times 1.8 + 32 = 30.6 + 32 = 62.6°F
\]
6. 0°C:
\[
F = 0 \times \frac{9}{5} + 32 = 0 \times 1.8 + 32 = 0 + 32 = 32°F
\]
7. 210°C:
\[
F = 210 \times \frac{9}{5} + 32 = 210 \times 1.8 + 32 = 378 + 32 = 410°F
\]
#### Part 2: Convert Fahrenheit to Celsius
We will use the formula:
\[
C = (F - 32) \times \frac{5}{9}
\]
1. 35°F:
\[
C = (35 - 32) \times \frac{5}{9} = 3 \times \frac{5}{9} = \frac{15}{9} = 1.67°C
\]
2. 72°F:
\[
C = (72 - 32) \times \frac{5}{9} = 40 \times \frac{5}{9} = \frac{200}{9} \approx 22.22°C
\]
3. 16°F:
\[
C = (16 - 32) \times \frac{5}{9} = -16 \times \frac{5}{9} = \frac{-80}{9} \approx -8.89°C
\]
4. 11°F:
\[
C = (11 - 32) \times \frac{5}{9} = -21 \times \frac{5}{9} = \frac{-105}{9} \approx -11.67°C
\]
5. 215°F:
\[
C = (215 - 32) \times \frac{5}{9} = 183 \times \frac{5}{9} = \frac{915}{9} \approx 101.67°C
\]
6. 20°F:
\[
C = (20 - 32) \times \frac{5}{9} = -12 \times \frac{5}{9} = \frac{-60}{9} \approx -6.67°C
\]
---
Final Answers:
#### Celsius to Fahrenheit:
1. \( 16°C = 60.8°F \)
2. \( 4°C = 39.2°F \)
3. \( 23°C = 73.4°F \)
4. \( 16°C = 60.8°F \)
5. \( 17°C = 62.6°F \)
6. \( 0°C = 32°F \)
7. \( 210°C = 410°F \)
#### Fahrenheit to Celsius:
1. \( 35°F = 1.67°C \)
2. \( 72°F = 22.22°C \)
3. \( 16°F = -8.89°C \)
4. \( 11°F = -11.67°C \)
5. \( 215°F = 101.67°C \)
6. \( 20°F = -6.67°C \)
---
Boxed Final Answer:
\[
\boxed{
\begin{array}{c|c}
\text{Celsius to Fahrenheit} & \text{Fahrenheit to Celsius} \\
\hline
16°C = 60.8°F & 35°F = 1.67°C \\
4°C = 39.2°F & 72°F = 22.22°C \\
23°C = 73.4°F & 16°F = -8.89°C \\
16°C = 60.8°F & 11°F = -11.67°C \\
17°C = 62.6°F & 215°F = 101.67°C \\
0°C = 32°F & 20°F = -6.67°C \\
210°C = 410°F &
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of temperature conversion worksheet answer key.
