Chemistry Metric Conversion Worksheet Answer Key - Free Printable

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 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

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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 → 340,000.9 ÷ 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 → 12,000 ÷ 10 = 1,200 cg

7. 0.145 g = ________ mg
→ 1 g = 1000 mg → 0.145 × 1000 = 145 mg

8. 45000.2500 mg = ________ g
→ 1 g = 1000 mg → 45,000.25 ÷ 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 = 1,220 cL

13. 1202.200 mL = ________ cL
→ 1 cL = 10 mL → 1202.2 ÷ 10 = 120.22 cL

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 → (3/4) × 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 (or 2.67 yd rounded to two 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 = 4,928 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:

1. 34,500 cm
2. 3,000,000 mm
3. 0.00600008 km
4. 0.3400009 km
5. 1,225,000 cg
6. 1,200 cg
7. 145 mg
8. 45.00025 g
9. 2,900,000 cm
10. 25.9 kg
11. 80,100 L
12. 1,220 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. 2.67 yd (approx.)
23. 56 c
24. 1.725 T
25. 4,928 yd
26. 64.71875 lb

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✔ All answers are now complete and explained. Let me know if you'd like a printable version or help understanding any specific conversion!