Comprehensive worksheet featuring 26 mixed unit conversion problems covering both metric and customary systems.

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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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 T (ton) = 1000 kg
- 1 kL = 1000 L

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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

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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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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 = 2 pt → 4.8 ÷ 2 = 2.4 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
→ 42/3 = 14 qt
→ 1 qt = 4 cups → 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 | 2.4 gal |
|20 | 750 g |
|21 | 67.5 ft |
|22 | 2.674 yd |
|23 | 56 c |
|24 | 1.725 T |
|25 | 4928 yd |
|26 | 64.71875 lb |

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🔍 Explanation Summary:

- Metric system: Use powers of 10. Move decimal based on prefix.
- Example: cm → m → divide by 100
- Imperial system: Memorize key relationships (e.g., 12 in = 1 ft, 16 oz = 1 lb)
- Always check units and convert step-by-step if needed.
- For mixed units (like 42/3 qt), simplify fractions first.

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