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, liter, gram)
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 gal = 4 qt
- 1 qt = 2 pt
- 1 pt = 16 oz
- 1 lb = 16 oz
- 1 mi = 1760 yd
- 1 yd = 3 ft
- 1 ft = 12 in
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Now, let’s solve each problem:
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1. 345 m = ________ cm
1 m = 100 cm
→ 345 × 100 =
34,500 cm
✔ Answer: 34,500 cm
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2. 3 km = ________ mm
1 km = 1000 m
1 m = 1000 mm
→ 3 km = 3 × 1000 × 1000 =
3,000,000 mm
✔ Answer: 3,000,000 mm
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3. 600.008 cm = ________ km
1 cm = 0.01 m → 600.008 cm = 6.00008 m
1 km = 1000 m → 6.00008 ÷ 1000 =
0.00600008 km
✔ Answer: 0.00600008 km
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4. 340000.9000 mm = ________ km
1 mm = 0.001 m
→ 340000.9 mm = 340000.9 × 0.001 = 340.0009 m
1 km = 1000 m → 340.0009 ÷ 1000 =
0.3400009 km
✔ Answer: 0.3400009 km
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5. 12.25 kg = ________ cg
1 kg = 100,000 cg
→ 12.25 × 100,000 =
1,225,000 cg
✔ Answer: 1,225,000 cg
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6. 12000 mg = ________ cg
1 mg = 0.1 cg → 12,000 mg = 12,000 × 0.1 =
1,200 cg
✔ Answer: 1,200 cg
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7. 0.145 g = ________ mg
1 g = 1000 mg → 0.145 × 1000 =
145 mg
✔ Answer: 145 mg
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8. 45000.2500 mg = ________ g
1 mg = 0.001 g → 45000.2500 × 0.001 =
45.00025 g
✔ Answer: 45.00025 g
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9. 29 km = ________ cm
1 km = 100,000 cm → 29 × 100,000 =
2,900,000 cm
✔ Answer: 2,900,000 cm
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10. 2590000 cg = ________ kg
1 cg = 0.00001 kg
→ 2,590,000 × 0.00001 =
25.9 kg
✔ Answer: 25.9 kg
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11. 801,00,000 mL = ________ L
1 L = 1000 mL → 80,100,000 ÷ 1000 =
80,100 L
✔ Answer: 80,100 L
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12. 12.2 L = ________ cL
1 L = 100 cL → 12.2 × 100 =
1220 cL
✔ Answer: 1220 cL
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13. 1202.200 mL = ________ cL
1 mL = 0.1 cL → 1202.200 × 0.1 =
120.22 cL
✔ Answer: 120.22 cL
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14. 23.5200 cL = ________ mL
1 cL = 10 mL → 23.5200 × 10 =
235.2 mL
✔ Answer: 235.2 mL
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15. 1254 g = ________ T
1 T = 1000 kg = 1,000,000 g
→ 1254 ÷ 1,000,000 =
0.001254 T
✔ Answer: 0.001254 T
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16. 45250 L = ________ kL
1 kL = 1000 L → 45,250 ÷ 1000 =
45.25 kL
✔ Answer: 45.25 kL
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17. 7.2 gal = ________ qt
1 gal = 4 qt → 7.2 × 4 =
28.8 qt
✔ Answer: 28.8 qt
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18. 8 pt = ________ oz
1 pt = 16 oz → 8 × 16 =
128 oz
✔ Answer: 128 oz
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19. 4.8 pt = ________ gal
1 gal = 2 pt → 4.8 ÷ 2 =
2.4 gal
✔ Answer: 2.4 gal
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20. 3/4 kg = ________ gms
1 kg = 1000 g → 0.75 × 1000 =
750 g
✔ Answer: 750 g
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21. 22.5 yd = ________ ft
1 yd = 3 ft → 22.5 × 3 =
67.5 ft
✔ Answer: 67.5 ft
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22. 96.25 in = ________ yd
1 yd = 36 in → 96.25 ÷ 36 ≈
2.6736 yd
Let’s calculate:
96.25 ÷ 36 = 2.673611... → Round to
2.674 yd (approx)
But if exact fraction:
96.25 / 36 = 385/144 ≈
2.6736 yd
✔ Answer: ~2.674 yd (or
2.6736 yd for precision)
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23. 42/3 qt = ________ c
42/3 = 14 qt
1 qt = 2 pints, 1 pint = 2 cups → 1 qt = 4 cups
So 14 qt = 14 × 4 =
56 cups
✔ Answer: 56 c
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24. 3450 lbs = ________ T
1 ton (T) = 2000 lbs → 3450 ÷ 2000 =
1.725 T
✔ Answer: 1.725 T
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25. 2.8 mi = ________ yd
1 mi = 1760 yd → 2.8 × 1760 =
4928 yd
✔ Answer: 4928 yd
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26. 2071/2 ounce = ________ lb
2071/2 = 1035.5 ounces
1 lb = 16 oz → 1035.5 ÷ 16 =
64.71875 lb
✔ Answer: 64.71875 lb
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##
✔ Final Answers:
| Problem | Answer |
|--------|--------|
| 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 | 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 | 2.6736 yd |
| 23 | 56 c |
| 24 | 1.725 T |
| 25 | 4928 yd |
| 26 | 64.71875 lb |
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Let me know if you'd like this formatted as a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of metric system conversion worksheet chemistry.
