Temperature Conversion Worksheet Worksheet Collection For Teaching ... - Free Printable

Sure! Let’s solve this Temperature Conversion Worksheet step by step, using the formulas provided.

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## 🔢 FORMULAS GIVEN:

- °C = (5/9) × (°F - 32) → Convert Fahrenheit to Celsius
- °F = (9/5 × °C) + 32 → Convert Celsius to Fahrenheit

> ⚠️ Remember: Order of operations matters! Do subtraction or multiplication first as shown in the examples.

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# ✔ PART 1: Convert °F → °C

Use formula:
°C = (5/9) × (°F - 32)

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a. 0°F

Step 1: Subtract 32 → `0 - 32 = -32`
Step 2: Multiply by 5/9 → `-32 × 5/9 = -160/9 ≈ -17.78`

✔ Answer: -17.78°C

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b. 32°F (freezing point)

Step 1: `32 - 32 = 0`
Step 2: `0 × 5/9 = 0`

✔ Answer: 0°C ← This is correct — water freezes at 0°C!

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c. 70°F (room temperature)

Step 1: `70 - 32 = 38`
Step 2: `38 × 5/9 = 190/9 ≈ 21.11`

✔ Answer: 21.11°C

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d. 98.6°F (body temperature)

Step 1: `98.6 - 32 = 66.6`
Step 2: `66.6 × 5/9 = 333/9 = 37` exactly!

✔ Answer: 37°C ← Normal human body temp!

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e. 100°F

Step 1: `100 - 32 = 68`
Step 2: `68 × 5/9 = 340/9 ≈ 37.78`

✔ Answer: 37.78°C

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f. 212°F (boiling point)

Step 1: `212 - 32 = 180`
Step 2: `180 × 5/9 = 900/9 = 100`

✔ Answer: 100°C ← Water boils at 100°C!

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# ✔ PART 2: Convert °C → °F

Use formula:
°F = (9/5 × °C) + 32

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a. 0°C (freezing point)

Step 1: `0 × 9/5 = 0`
Step 2: `0 + 32 = 32`

✔ Answer: 32°F

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b. 32°C

Step 1: `32 × 9/5 = 288/5 = 57.6`
Step 2: `57.6 + 32 = 89.6`

✔ Answer: 89.6°F

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c. 70°C

Step 1: `70 × 9/5 = 630/5 = 126`
Step 2: `126 + 32 = 158`

✔ Answer: 158°F

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d. 98.6°C

Step 1: `98.6 × 9/5 = (98.6 × 9)/5 = 887.4 / 5 = 177.48`
Step 2: `177.48 + 32 = 209.48`

✔ Answer: 209.48°F

> 📝 Note: 98.6°C is extremely hot — way above boiling water (100°C)! So 209.48°F makes sense.

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e. 100°C (boiling point)

Step 1: `100 × 9/5 = 900/5 = 180`
Step 2: `180 + 32 = 212`

✔ Answer: 212°F

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f. 212°C

Step 1: `212 × 9/5 = 1908/5 = 381.6`
Step 2: `381.6 + 32 = 413.6`

✔ Answer: 413.6°F

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# 📋 FINAL ANSWERS SUMMARY:

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## ✔ 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

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## ✔ 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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Let me know if you’d like these rounded to whole numbers or explained differently! 😊