Sure! Let’s solve the
Temperature Conversion Worksheet step by step using the given formulas:
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## 🔢 Given Formulas:
-
°C to °F:
>
°F = (9/5 × °C) + 32
-
°F to °C:
>
°C = (5/9) × (°F – 32)
> *Remember: Order of operations — do parentheses first, then multiplication/division, then addition/subtraction.*
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#
✔ Part 1: Convert from Fahrenheit (°F) to Celsius (°C)
We use:
>
°C = (5/9) × (°F – 32)
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a. 0°F
°C = (5/9) × (0 – 32) = (5/9) × (-32) = -160/9 ≈
-17.78°C
✔ Answer:
-17.78°C
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b. 32°F (freezing point)
°C = (5/9) × (32 – 32) = (5/9) × 0 =
0°C
✔ Answer:
0°C *(This is why 32°F is freezing point!)*
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c. 70°F (room temperature)
°C = (5/9) × (70 – 32) = (5/9) × 38 = 190/9 ≈
21.11°C
✔ Answer:
21.11°C
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d. 98.6°F (body temperature)
°C = (5/9) × (98.6 – 32) = (5/9) × 66.6 = 333/9 =
37°C
✔ Answer:
37°C *(Standard human body temp!)*
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e. 100°F
°C = (5/9) × (100 – 32) = (5/9) × 68 = 340/9 ≈
37.78°C
✔ Answer:
37.78°C
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f. 212°F (boiling point)
°C = (5/9) × (212 – 32) = (5/9) × 180 = 900/9 =
100°C
✔ Answer:
100°C *(Water boils at 100°C!)*
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#
✔ Part 2: Convert from Celsius (°C) to Fahrenheit (°F)
We use:
>
°F = (9/5 × °C) + 32
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a. 0°C (freezing point)
°F = (9/5 × 0) + 32 = 0 + 32 =
32°F
✔ Answer:
32°F
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b. 32°C
°F = (9/5 × 32) + 32 = (288/5) + 32 = 57.6 + 32 =
89.6°F
✔ Answer:
89.6°F
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c. 70°C
°F = (9/5 × 70) + 32 = (630/5) + 32 = 126 + 32 =
158°F
✔ Answer:
158°F
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d. 98.6°C
°F = (9/5 × 98.6) + 32 = (887.4/5) + 32 = 177.48 + 32 =
209.48°F
✔ Answer:
209.48°F
*(Note: This is NOT body temperature — body temp is 98.6°F, not °C!)*
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e. 100°C (boiling point)
°F = (9/5 × 100) + 32 = 180 + 32 =
212°F
✔ Answer:
212°F
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f. 212°C
°F = (9/5 × 212) + 32 = (1908/5) + 32 = 381.6 + 32 =
413.6°F
✔ Answer:
413.6°F
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# 📝 Final Answers Summary:
## Part 1: °F → °C
a. 0°F →
-17.78°C
b. 32°F →
0°C
c. 70°F →
21.11°C
d. 98.6°F →
37°C
e. 100°F →
37.78°C
f. 212°F →
100°C
## Part 2: °C → °F
a. 0°C →
32°F
b. 32°C →
89.6°F
c. 70°C →
158°F
d. 98.6°C →
209.48°F
e. 100°C →
212°F
f. 212°C →
413.6°F
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✔ You can now fill in your worksheet with these answers!
Let me know if you want to see the calculations written out differently or need help with rounding rules!
Parent Tip: Review the logic above to help your child master the concept of temperature conversion worksheet answer key.