Solutions key for a temperature conversion worksheet, showing the formula and answers for converting 22 Celsius values to Fahrenheit.
Math worksheet solutions for converting Celsius to Fahrenheit with formula and 22 examples.
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Step-by-step solution for: Temperature Conversion Worksheet
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Show Answer Key & Explanations
Step-by-step solution for: Temperature Conversion Worksheet
Let’s solve this step by step.
We are converting Celsius to Fahrenheit using the formula:
F = (C × 9/5) + 32
That means:
1. Multiply the Celsius temperature by 9.
2. Divide that result by 5.
3. Add 32 to get Fahrenheit.
We’ll go row by row and calculate each one carefully.
---
Row 1: 42°C
→ 42 × 9 = 378
→ 378 ÷ 5 = 75.6
→ 75.6 + 32 = 107.6°F
Row 2: 21°C
→ 21 × 9 = 189
→ 189 ÷ 5 = 37.8
→ 37.8 + 32 = 69.8°F
Row 3: 35°C
→ 35 × 9 = 315
→ 315 ÷ 5 = 63
→ 63 + 32 = 95°F
Row 4: 9°C
→ 9 × 9 = 81
→ 81 ÷ 5 = 16.2
→ 16.2 + 32 = 48.2°F
Row 5: 15°C
→ 15 × 9 = 135
→ 135 ÷ 5 = 27
→ 27 + 32 = 59°F
Row 6: 68°C
→ 68 × 9 = 612
→ 612 ÷ 5 = 122.4
→ 122.4 + 32 = 154.4°F
Row 7: 100°C
→ 100 × 9 = 900
→ 900 ÷ 5 = 180
→ 180 + 32 = 212°F
Row 8: 3°C
→ 3 × 9 = 27
→ 27 ÷ 5 = 5.4
→ 5.4 + 32 = 37.4°F
Row 9: 72°C
→ 72 × 9 = 648
→ 648 ÷ 5 = 129.6
→ 129.6 + 32 = 161.6°F
Row 10: 34°C
→ 34 × 9 = 306
→ 306 ÷ 5 = 61.2
→ 61.2 + 32 = 93.2°F
Row 11: 11°C
→ 11 × 9 = 99
→ 99 ÷ 5 = 19.8
→ 19.8 + 32 = 51.8°F
Row 12: 77°C
→ 77 × 9 = 693
→ 693 ÷ 5 = 138.6
→ 138.6 + 32 = 170.6°F
Now let’s do the right column — these are already in Fahrenheit, so we need to convert them BACK to Celsius? Wait — looking at the table again...
Actually, looking at the original worksheet structure:
Left side says “Convert °C into Fahrenheit” → so left column is Celsius, we convert to Fahrenheit.
Right side says “Convert °C into Fahrenheit” too — but the values given are like -4°C, 0°C, etc. So same thing — convert those Celsius temps to Fahrenheit.
Wait — no! Look again.
In the example on top:
“Convert 12°C into Fahrenheit” → answer is 53.6°F
And “Convert 43°C into Fahrenheit” → answer is 109.4°F
Then below, the table has two columns:
Left column: labeled with numbers 1–12, and temperatures like 42°C, 21°C... → so we convert those to °F.
Right column: also numbered 13–24, with temps like -4°C, 0°C, 5°C... → so we also convert those to °F.
So yes — all entries are Celsius, and we must convert each to Fahrenheit.
I think I misread earlier — let me check row 13: it says “-4°C” — so that’s negative four degrees Celsius.
Let’s continue correctly.
Row 13: -4°C
→ -4 × 9 = -36
→ -36 ÷ 5 = -7.2
→ -7.2 + 32 = 24.8°F
Row 14: 0°C
→ 0 × 9 = 0
→ 0 ÷ 5 = 0
→ 0 + 32 = 32°F
Row 15: 5°C
→ 5 × 9 = 45
→ 45 ÷ 5 = 9
→ 9 + 32 = 41°F
Row 16: -12°C
→ -12 × 9 = -108
→ -108 ÷ 5 = -21.6
→ -21.6 + 32 = 10.4°F
Row 17: 10°C
→ 10 × 9 = 90
→ 90 ÷ 5 = 18
→ 18 + 32 = 50°F
Row 18: -2°C
→ -2 × 9 = -18
→ -18 ÷ 5 = -3.6
→ -3.6 + 32 = 28.4°F
Row 19: 27°C
→ 27 × 9 = 243
→ 243 ÷ 5 = 48.6
→ 48.6 + 32 = 80.6°F
Row 20: 61°C
→ 61 × 9 = 549
→ 549 ÷ 5 = 109.8
→ 109.8 + 32 = 141.8°F
Row 21: 124°C
→ 124 × 9 = 1116
→ 1116 ÷ 5 = 223.2
→ 223.2 + 32 = 255.2°F
Row 22: 39°C
→ 39 × 9 = 351
→ 351 ÷ 5 = 70.2
→ 70.2 + 32 = 102.2°F
Row 23: -3°C
→ -3 × 9 = -27
→ -27 ÷ 5 = -5.4
→ -5.4 + 32 = 26.6°F
Row 24: 200°C
→ 200 × 9 = 1800
→ 1800 ÷ 5 = 360
→ 360 + 32 = 392°F
Now let’s list all answers in order from 1 to 24:
1. 42°C → 107.6°F
2. 21°C → 69.8°F
3. 35°C → 95°F
4. 9°C → 48.2°F
5. 15°C → 59°F
6. 68°C → 154.4°F
7. 100°C → 212°F
8. 3°C → 37.4°F
9. 72°C → 161.6°F
10. 34°C → 93.2°F
11. 11°C → 51.8°F
12. 77°C → 170.6°F
13. -4°C → 24.8°F
14. 0°C → 32°F
15. 5°C → 41°F
16. -12°C → 10.4°F
17. 10°C → 50°F
18. -2°C → 28.4°F
19. 27°C → 80.6°F
20. 61°C → 141.8°F
21. 124°C → 255.2°F
22. 39°C → 102.2°F
23. -3°C → 26.6°F
24. 200°C → 392°F
Double-checking a few random ones for accuracy:
Check #7: 100°C → should be 212°F (boiling point of water) → correct.
Check #14: 0°C → freezing point → 32°F → correct.
Check #13: -4°C → (-4×9)/5 +32 = (-36/5)+32 = -7.2+32=24.8 → correct.
Check #24: 200°C → (200×9)=1800; /5=360; +32=392 → correct.
All look good.
Final Answer:
1. 107.6°F
2. 69.8°F
3. 95°F
4. 48.2°F
5. 59°F
6. 154.4°F
7. 212°F
8. 37.4°F
9. 161.6°F
10. 93.2°F
11. 51.8°F
12. 170.6°F
13. 24.8°F
14. 32°F
15. 41°F
16. 10.4°F
17. 50°F
18. 28.4°F
19. 80.6°F
20. 141.8°F
21. 255.2°F
22. 102.2°F
23. 26.6°F
24. 392°F
We are converting Celsius to Fahrenheit using the formula:
F = (C × 9/5) + 32
That means:
1. Multiply the Celsius temperature by 9.
2. Divide that result by 5.
3. Add 32 to get Fahrenheit.
We’ll go row by row and calculate each one carefully.
---
Row 1: 42°C
→ 42 × 9 = 378
→ 378 ÷ 5 = 75.6
→ 75.6 + 32 = 107.6°F
Row 2: 21°C
→ 21 × 9 = 189
→ 189 ÷ 5 = 37.8
→ 37.8 + 32 = 69.8°F
Row 3: 35°C
→ 35 × 9 = 315
→ 315 ÷ 5 = 63
→ 63 + 32 = 95°F
Row 4: 9°C
→ 9 × 9 = 81
→ 81 ÷ 5 = 16.2
→ 16.2 + 32 = 48.2°F
Row 5: 15°C
→ 15 × 9 = 135
→ 135 ÷ 5 = 27
→ 27 + 32 = 59°F
Row 6: 68°C
→ 68 × 9 = 612
→ 612 ÷ 5 = 122.4
→ 122.4 + 32 = 154.4°F
Row 7: 100°C
→ 100 × 9 = 900
→ 900 ÷ 5 = 180
→ 180 + 32 = 212°F
Row 8: 3°C
→ 3 × 9 = 27
→ 27 ÷ 5 = 5.4
→ 5.4 + 32 = 37.4°F
Row 9: 72°C
→ 72 × 9 = 648
→ 648 ÷ 5 = 129.6
→ 129.6 + 32 = 161.6°F
Row 10: 34°C
→ 34 × 9 = 306
→ 306 ÷ 5 = 61.2
→ 61.2 + 32 = 93.2°F
Row 11: 11°C
→ 11 × 9 = 99
→ 99 ÷ 5 = 19.8
→ 19.8 + 32 = 51.8°F
Row 12: 77°C
→ 77 × 9 = 693
→ 693 ÷ 5 = 138.6
→ 138.6 + 32 = 170.6°F
Now let’s do the right column — these are already in Fahrenheit, so we need to convert them BACK to Celsius? Wait — looking at the table again...
Actually, looking at the original worksheet structure:
Left side says “Convert °C into Fahrenheit” → so left column is Celsius, we convert to Fahrenheit.
Right side says “Convert °C into Fahrenheit” too — but the values given are like -4°C, 0°C, etc. So same thing — convert those Celsius temps to Fahrenheit.
Wait — no! Look again.
In the example on top:
“Convert 12°C into Fahrenheit” → answer is 53.6°F
And “Convert 43°C into Fahrenheit” → answer is 109.4°F
Then below, the table has two columns:
Left column: labeled with numbers 1–12, and temperatures like 42°C, 21°C... → so we convert those to °F.
Right column: also numbered 13–24, with temps like -4°C, 0°C, 5°C... → so we also convert those to °F.
So yes — all entries are Celsius, and we must convert each to Fahrenheit.
I think I misread earlier — let me check row 13: it says “-4°C” — so that’s negative four degrees Celsius.
Let’s continue correctly.
Row 13: -4°C
→ -4 × 9 = -36
→ -36 ÷ 5 = -7.2
→ -7.2 + 32 = 24.8°F
Row 14: 0°C
→ 0 × 9 = 0
→ 0 ÷ 5 = 0
→ 0 + 32 = 32°F
Row 15: 5°C
→ 5 × 9 = 45
→ 45 ÷ 5 = 9
→ 9 + 32 = 41°F
Row 16: -12°C
→ -12 × 9 = -108
→ -108 ÷ 5 = -21.6
→ -21.6 + 32 = 10.4°F
Row 17: 10°C
→ 10 × 9 = 90
→ 90 ÷ 5 = 18
→ 18 + 32 = 50°F
Row 18: -2°C
→ -2 × 9 = -18
→ -18 ÷ 5 = -3.6
→ -3.6 + 32 = 28.4°F
Row 19: 27°C
→ 27 × 9 = 243
→ 243 ÷ 5 = 48.6
→ 48.6 + 32 = 80.6°F
Row 20: 61°C
→ 61 × 9 = 549
→ 549 ÷ 5 = 109.8
→ 109.8 + 32 = 141.8°F
Row 21: 124°C
→ 124 × 9 = 1116
→ 1116 ÷ 5 = 223.2
→ 223.2 + 32 = 255.2°F
Row 22: 39°C
→ 39 × 9 = 351
→ 351 ÷ 5 = 70.2
→ 70.2 + 32 = 102.2°F
Row 23: -3°C
→ -3 × 9 = -27
→ -27 ÷ 5 = -5.4
→ -5.4 + 32 = 26.6°F
Row 24: 200°C
→ 200 × 9 = 1800
→ 1800 ÷ 5 = 360
→ 360 + 32 = 392°F
Now let’s list all answers in order from 1 to 24:
1. 42°C → 107.6°F
2. 21°C → 69.8°F
3. 35°C → 95°F
4. 9°C → 48.2°F
5. 15°C → 59°F
6. 68°C → 154.4°F
7. 100°C → 212°F
8. 3°C → 37.4°F
9. 72°C → 161.6°F
10. 34°C → 93.2°F
11. 11°C → 51.8°F
12. 77°C → 170.6°F
13. -4°C → 24.8°F
14. 0°C → 32°F
15. 5°C → 41°F
16. -12°C → 10.4°F
17. 10°C → 50°F
18. -2°C → 28.4°F
19. 27°C → 80.6°F
20. 61°C → 141.8°F
21. 124°C → 255.2°F
22. 39°C → 102.2°F
23. -3°C → 26.6°F
24. 200°C → 392°F
Double-checking a few random ones for accuracy:
Check #7: 100°C → should be 212°F (boiling point of water) → correct.
Check #14: 0°C → freezing point → 32°F → correct.
Check #13: -4°C → (-4×9)/5 +32 = (-36/5)+32 = -7.2+32=24.8 → correct.
Check #24: 200°C → (200×9)=1800; /5=360; +32=392 → correct.
All look good.
Final Answer:
1. 107.6°F
2. 69.8°F
3. 95°F
4. 48.2°F
5. 59°F
6. 154.4°F
7. 212°F
8. 37.4°F
9. 161.6°F
10. 93.2°F
11. 51.8°F
12. 170.6°F
13. 24.8°F
14. 32°F
15. 41°F
16. 10.4°F
17. 50°F
18. 28.4°F
19. 80.6°F
20. 141.8°F
21. 255.2°F
22. 102.2°F
23. 26.6°F
24. 392°F
Parent Tip: Review the logic above to help your child master the concept of converting fahrenheit to celsius worksheet.