Let's solve each problem step by step using the given formulas:
Formulas:
- To convert
Celsius to Fahrenheit:
$$
F = \left(C \times \frac{9}{5}\right) + 32
$$
- To convert
Fahrenheit to Celsius:
$$
C = \left(F - 32\right) \times \frac{5}{9}
$$
---
Part 1: Convert Celsius to Fahrenheit
#### 1. $ 53^\circ C $
$$
F = (53 \times \frac{9}{5}) + 32 = (95.4) + 32 = 127.4^\circ F
$$
✔ Answer: 127.4°F
---
#### 2. $ 40^\circ C $
$$
F = (40 \times \frac{9}{5}) + 32 = (72) + 32 = 104^\circ F
$$
✔ Answer: 104°F
---
#### 3. $ -10^\circ C $
$$
F = (-10 \times \frac{9}{5}) + 32 = (-18) + 32 = 14^\circ F
$$
✔ Answer: 14°F
---
#### 4. $ 0^\circ C $
$$
F = (0 \times \frac{9}{5}) + 32 = 0 + 32 = 32^\circ F
$$
✔ Answer: 32°F
---
#### 5. $ 20^\circ C $
$$
F = (20 \times \frac{9}{5}) + 32 = (36) + 32 = 68^\circ F
$$
✔ Answer: 68°F
---
Part 2: Convert Fahrenheit to Celsius
#### 6. $ 208^\circ F $
$$
C = (208 - 32) \times \frac{5}{9} = 176 \times \frac{5}{9} = \frac{880}{9} \approx 97.78^\circ C
$$
✔ Answer: 97.78°C
---
#### 7. $ 80^\circ F $
$$
C = (80 - 32) \times \frac{5}{9} = 48 \times \frac{5}{9} = \frac{240}{9} \approx 26.67^\circ C
$$
✔ Answer: 26.67°C
---
#### 8. $ 110^\circ F $
$$
C = (110 - 32) \times \frac{5}{9} = 78 \times \frac{5}{9} = \frac{390}{9} \approx 43.33^\circ C
$$
✔ Answer: 43.33°C
---
#### 9. $ 212^\circ F $
$$
C = (212 - 32) \times \frac{5}{9} = 180 \times \frac{5}{9} = 100^\circ C
$$
✔ Answer: 100°C
*(This is the boiling point of water!)*
---
#### 10. $ 250^\circ F $
$$
C = (250 - 32) \times \frac{5}{9} = 218 \times \frac{5}{9} = \frac{1090}{9} \approx 121.11^\circ C
$$
✔ Answer: 121.11°C
---
✔ Final Answers:
1. $ 53^\circ C = \boxed{127.4^\circ F} $
2. $ 40^\circ C = \boxed{104^\circ F} $
3. $ -10^\circ C = \boxed{14^\circ F} $
4. $ 0^\circ C = \boxed{32^\circ F} $
5. $ 20^\circ C = \boxed{68^\circ F} $
6. $ 208^\circ F = \boxed{97.78^\circ C} $
7. $ 80^\circ F = \boxed{26.67^\circ C} $
8. $ 110^\circ F = \boxed{43.33^\circ C} $
9. $ 212^\circ F = \boxed{100^\circ C} $
10. $ 250^\circ F = \boxed{121.11^\circ C} $
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Parent Tip: Review the logic above to help your child master the concept of converting fahrenheit to celsius worksheet.