Mixed Unit Conversion worksheet for practicing conversions between different measurement units.
A worksheet titled "Mixed Unit Conversion" with 26 problems converting between various units of measurement, including meters, grams, liters, and more, from www.teach-nology.com.
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Show Answer Key & Explanations
Step-by-step solution for: Mixed Unit Conversion | Measurement worksheets, Chemistry ...
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Show Answer Key & Explanations
Step-by-step solution for: Mixed Unit Conversion | Measurement worksheets, Chemistry ...
Let's solve each of these unit conversion problems step by step. I'll go through them one by one, showing the conversions and explaining the logic.
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We use standard metric prefixes:
- 1 m = 100 cm
- 1 km = 1000 m = 1,000,000 mm
- 1 kg = 1000 g = 100,000 cg = 1,000,000 mg
- 1 L = 1000 mL = 100 cL
- 1 kL = 1000 L
- 1 T (ton) = 1000 kg
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- 1 ft = 12 in
- 1 yd = 3 ft
- 1 mi = 1760 yd
- 1 gal = 4 qt
- 1 qt = 2 pt
- 1 pt = 16 oz
- 1 lb = 16 oz
- 1 T (ton) = 2000 lbs
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Now let’s solve each:
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1. 345 m = ________ cm
→ 1 m = 100 cm → 345 × 100 = 34,500 cm
2. 3 km = ________ mm
→ 1 km = 1,000,000 mm → 3 × 1,000,000 = 3,000,000 mm
3. 600.008 cm = ________ km
→ 1 km = 100,000 cm → 600.008 ÷ 100,000 = 0.00600008 km
4. 340000.9000 mm = ________ km
→ 1 km = 1,000,000 mm → 340000.9 ÷ 1,000,000 = 0.3400009 km
5. 12.25 kg = ________ cg
→ 1 kg = 100,000 cg → 12.25 × 100,000 = 1,225,000 cg
6. 12000 mg = ________ cg
→ 1 cg = 10 mg → 12000 ÷ 10 = 1200 cg
7. 0.145 g = ________ mg
→ 1 g = 1000 mg → 0.145 × 1000 = 145 mg
8. 45000.2500 mg = ________ g
→ 1 g = 1000 mg → 45000.25 ÷ 1000 = 45.00025 g
9. 29 km = ________ cm
→ 1 km = 100,000 cm → 29 × 100,000 = 2,900,000 cm
10. 2590000 cg = ________ kg
→ 1 kg = 100,000 cg → 2,590,000 ÷ 100,000 = 25.9 kg
11. 801,00,000 mL = ________ L
→ 1 L = 1000 mL → 80,100,000 ÷ 1000 = 80,100 L
12. 12.2 L = ________ cL
→ 1 L = 100 cL → 12.2 × 100 = 1220 cL
13. 1202.200 mL = ________ cL
→ 1 cL = 10 mL → 1202.2 ÷ 10 = 120.22 cL
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14. 23.5200 cL = ________ mL
→ 1 cL = 10 mL → 23.52 × 10 = 235.2 mL
15. 1254 g = ________ T
→ 1 T = 1000 kg = 1,000,000 g → 1254 ÷ 1,000,000 = 0.001254 T
16. 45250 L = ________ kL
→ 1 kL = 1000 L → 45,250 ÷ 1000 = 45.25 kL
17. 7.2 gal = ________ qt
→ 1 gal = 4 qt → 7.2 × 4 = 28.8 qt
18. 8 pt = ________ oz
→ 1 pt = 16 oz → 8 × 16 = 128 oz
19. 4.8 pt = ________ gal
→ 1 gal = 4 pt → 4.8 ÷ 4 = 1.2 gal
20. 3/4 kg = ________ gms
→ 1 kg = 1000 g → 0.75 × 1000 = 750 g
21. 22.5 yd = ________ ft
→ 1 yd = 3 ft → 22.5 × 3 = 67.5 ft
22. 96.25 in = ________ yd
→ 1 yd = 36 in → 96.25 ÷ 36 ≈ 2.6736 yd
(Keep decimal: 96.25 ÷ 36 = 2.673611... → 2.674 yd rounded to 3 decimals)
23. 42/3 qt = ________ c
→ First: 42/3 = 14 qt
→ 1 qt = 4 cups (c) → 14 × 4 = 56 c
24. 3450 lbs = ________ T
→ 1 T = 2000 lbs → 3450 ÷ 2000 = 1.725 T
25. 2.8 mi = ________ yd
→ 1 mi = 1760 yd → 2.8 × 1760 = 4928 yd
26. 2071/2 ounce = ________ lb
→ 2071/2 = 1035.5 ounces
→ 1 lb = 16 oz → 1035.5 ÷ 16 = 64.71875 lb
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| # | Answer |
|---|--------|
| 1 | 34,500 cm |
| 2 | 3,000,000 mm |
| 3 | 0.00600008 km |
| 4 | 0.3400009 km |
| 5 | 1,225,000 cg |
| 6 | 1200 cg |
| 7 | 145 mg |
| 8 | 45.00025 g |
| 9 | 2,900,000 cm |
|10 | 25.9 kg |
|11 | 80,100 L |
|12 | 1220 cL |
|13 | 120.22 cL |
|14 | 235.2 mL |
|15 | 0.001254 T |
|16 | 45.25 kL |
|17 | 28.8 qt |
|18 | 128 oz |
|19 | 1.2 gal |
|20 | 750 g |
|21 | 67.5 ft |
|22 | 2.674 yd (approx) |
|23 | 56 c |
|24 | 1.725 T |
|25 | 4928 yd |
|26 | 64.71875 lb |
---
- Always check units and conversion factors.
- For mixed fractions like 2071/2, interpret as 2071 ÷ 2 = 1035.5 oz.
- Round appropriately if needed; here we kept precision unless specified.
Let me know if you'd like a printable version or explanation for any specific problem!
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Metric Conversions (Base Units: meter, gram, liter)
We use standard metric prefixes:
- 1 m = 100 cm
- 1 km = 1000 m = 1,000,000 mm
- 1 kg = 1000 g = 100,000 cg = 1,000,000 mg
- 1 L = 1000 mL = 100 cL
- 1 kL = 1000 L
- 1 T (ton) = 1000 kg
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Imperial Conversions
- 1 ft = 12 in
- 1 yd = 3 ft
- 1 mi = 1760 yd
- 1 gal = 4 qt
- 1 qt = 2 pt
- 1 pt = 16 oz
- 1 lb = 16 oz
- 1 T (ton) = 2000 lbs
---
Now let’s solve each:
---
1. 345 m = ________ cm
→ 1 m = 100 cm → 345 × 100 = 34,500 cm
2. 3 km = ________ mm
→ 1 km = 1,000,000 mm → 3 × 1,000,000 = 3,000,000 mm
3. 600.008 cm = ________ km
→ 1 km = 100,000 cm → 600.008 ÷ 100,000 = 0.00600008 km
4. 340000.9000 mm = ________ km
→ 1 km = 1,000,000 mm → 340000.9 ÷ 1,000,000 = 0.3400009 km
5. 12.25 kg = ________ cg
→ 1 kg = 100,000 cg → 12.25 × 100,000 = 1,225,000 cg
6. 12000 mg = ________ cg
→ 1 cg = 10 mg → 12000 ÷ 10 = 1200 cg
7. 0.145 g = ________ mg
→ 1 g = 1000 mg → 0.145 × 1000 = 145 mg
8. 45000.2500 mg = ________ g
→ 1 g = 1000 mg → 45000.25 ÷ 1000 = 45.00025 g
9. 29 km = ________ cm
→ 1 km = 100,000 cm → 29 × 100,000 = 2,900,000 cm
10. 2590000 cg = ________ kg
→ 1 kg = 100,000 cg → 2,590,000 ÷ 100,000 = 25.9 kg
11. 801,00,000 mL = ________ L
→ 1 L = 1000 mL → 80,100,000 ÷ 1000 = 80,100 L
12. 12.2 L = ________ cL
→ 1 L = 100 cL → 12.2 × 100 = 1220 cL
13. 1202.200 mL = ________ cL
→ 1 cL = 10 mL → 1202.2 ÷ 10 = 120.22 cL
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More Metric & Imperial
14. 23.5200 cL = ________ mL
→ 1 cL = 10 mL → 23.52 × 10 = 235.2 mL
15. 1254 g = ________ T
→ 1 T = 1000 kg = 1,000,000 g → 1254 ÷ 1,000,000 = 0.001254 T
16. 45250 L = ________ kL
→ 1 kL = 1000 L → 45,250 ÷ 1000 = 45.25 kL
17. 7.2 gal = ________ qt
→ 1 gal = 4 qt → 7.2 × 4 = 28.8 qt
18. 8 pt = ________ oz
→ 1 pt = 16 oz → 8 × 16 = 128 oz
19. 4.8 pt = ________ gal
→ 1 gal = 4 pt → 4.8 ÷ 4 = 1.2 gal
20. 3/4 kg = ________ gms
→ 1 kg = 1000 g → 0.75 × 1000 = 750 g
21. 22.5 yd = ________ ft
→ 1 yd = 3 ft → 22.5 × 3 = 67.5 ft
22. 96.25 in = ________ yd
→ 1 yd = 36 in → 96.25 ÷ 36 ≈ 2.6736 yd
(Keep decimal: 96.25 ÷ 36 = 2.673611... → 2.674 yd rounded to 3 decimals)
23. 42/3 qt = ________ c
→ First: 42/3 = 14 qt
→ 1 qt = 4 cups (c) → 14 × 4 = 56 c
24. 3450 lbs = ________ T
→ 1 T = 2000 lbs → 3450 ÷ 2000 = 1.725 T
25. 2.8 mi = ________ yd
→ 1 mi = 1760 yd → 2.8 × 1760 = 4928 yd
26. 2071/2 ounce = ________ lb
→ 2071/2 = 1035.5 ounces
→ 1 lb = 16 oz → 1035.5 ÷ 16 = 64.71875 lb
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✔ Final Answers:
| # | Answer |
|---|--------|
| 1 | 34,500 cm |
| 2 | 3,000,000 mm |
| 3 | 0.00600008 km |
| 4 | 0.3400009 km |
| 5 | 1,225,000 cg |
| 6 | 1200 cg |
| 7 | 145 mg |
| 8 | 45.00025 g |
| 9 | 2,900,000 cm |
|10 | 25.9 kg |
|11 | 80,100 L |
|12 | 1220 cL |
|13 | 120.22 cL |
|14 | 235.2 mL |
|15 | 0.001254 T |
|16 | 45.25 kL |
|17 | 28.8 qt |
|18 | 128 oz |
|19 | 1.2 gal |
|20 | 750 g |
|21 | 67.5 ft |
|22 | 2.674 yd (approx) |
|23 | 56 c |
|24 | 1.725 T |
|25 | 4928 yd |
|26 | 64.71875 lb |
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🔍 Notes:
- Always check units and conversion factors.
- For mixed fractions like 2071/2, interpret as 2071 ÷ 2 = 1035.5 oz.
- Round appropriately if needed; here we kept precision unless specified.
Let me know if you'd like a printable version or explanation for any specific problem!
Parent Tip: Review the logic above to help your child master the concept of conversion problems chemistry worksheet.