Metric Unit Conversion Worksheet with practice problems for distance, volume, and weight conversions.

Let's solve the Metric Unit Conversion worksheet step by step. I'll go through each section, explain the conversions, and fill in the blanks.

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🔹 Section 1: Convert Distance Measurements

We need to convert between centimeters (cm), decimeters (dm), meters (m), and millimeters (mm).

#### Key Conversion Factors:
- 1 m = 100 cm
- 1 m = 10 dm
- 1 dm = 10 cm
- 1 cm = 10 mm

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1. 100 cm = ___ m
→ $ \frac{100}{100} = 1 $ m → ✔ 1 m (already given)

2. 63 dm = ___ m
→ $ \frac{63}{10} = 6.3 $ m → ✔ 6.3 m (already given)

3. 5 cm = ___ mm
→ $ 5 × 10 = 50 $ mm → ✔ 50 mm (already given)

4. 10 cm = ___ m
→ $ \frac{10}{100} = 0.1 $ m → 0.1 m

5. 19 dm = ___ m
→ $ \frac{19}{10} = 1.9 $ m → 1.9 m

6. 71 cm = ___ mm
→ $ 71 × 10 = 710 $ mm → 710 mm

7. 86 cm = ___ m
→ $ \frac{86}{100} = 0.86 $ m → 0.86 m

8. 22 dm = ___ m
→ $ \frac{22}{10} = 2.2 $ m → 2.2 m

9. 65 cm = ___ mm
→ $ 65 × 10 = 650 $ mm → 650 mm

10. 62 cm = ___ m
→ $ \frac{62}{100} = 0.62 $ m → 0.62 m

11. 90 dm = ___ m
→ $ \frac{90}{10} = 9 $ m → 9 m

12. 81 cm = ___ mm
→ $ 81 × 10 = 810 $ mm → 810 mm

13. 86 cm = ___ m
→ $ \frac{86}{100} = 0.86 $ m → 0.86 m

14. 74 dm = ___ m
→ $ \frac{74}{10} = 7.4 $ m → 7.4 m

15. 64 cm = ___ mm
→ $ 64 × 10 = 640 $ mm → 640 mm

16. 31 cm = ___ m
→ $ \frac{31}{100} = 0.31 $ m → 0.31 m

17. 89 dm = ___ m
→ $ \frac{89}{10} = 8.9 $ m → 8.9 m

18. 21 cm = ___ mm
→ $ 21 × 10 = 210 $ mm → 210 mm

19. 61 cm = ___ m
→ $ \frac{61}{100} = 0.61 $ m → 0.61 m

20. 59 dm = ___ m
→ $ \frac{59}{10} = 5.9 $ m → 5.9 m

21. 10 cm = ___ mm
→ $ 10 × 10 = 100 $ mm → 100 mm

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🔹 Section 2: Convert Volume Measurements

Units: liters (L), deciliters (dL), centiliters (cL)

#### Key Conversions:
- 1 L = 10 dL
- 1 L = 100 cL
- 1 dL = 10 cL

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1. 1 L = ___ dL → $ 1 × 10 = 10 $ dL → ✔ 10 dL (given)

2. 26 dL = ___ L → $ \frac{26}{10} = 2.6 $ L → ✔ 2.6 L (given)

3. 61 dL = ___ cL → $ 61 × 10 = 610 $ cL → ✔ 610 cL (given)

4. 84 L = ___ dL → $ 84 × 10 = 840 $ dL → 840 dL

5. 42 dL = ___ L → $ \frac{42}{10} = 4.2 $ L → 4.2 L

6. 32 dL = ___ cL → $ 32 × 10 = 320 $ cL → 320 cL

7. 13 L = ___ dL → $ 13 × 10 = 130 $ dL → 130 dL

8. 31 dL = ___ L → $ \frac{31}{10} = 3.1 $ L → 3.1 L

9. 84 dL = ___ cL → $ 84 × 10 = 840 $ cL → 840 cL

10. 84 L = ___ dL → $ 84 × 10 = 840 $ dL → 840 dL

11. 98 dL = ___ L → $ \frac{98}{10} = 9.8 $ L → 9.8 L

12. 81 dL = ___ cL → $ 81 × 10 = 810 $ cL → 810 cL

13. 49 L = ___ dL → $ 49 × 10 = 490 $ dL → 490 dL

14. 6 dL = ___ L → $ \frac{6}{10} = 0.6 $ L → 0.6 L

15. 42 dL = ___ cL → $ 42 × 10 = 420 $ cL → 420 cL

16. 41 L = ___ dL → $ 41 × 10 = 410 $ dL → 410 dL

17. 65 dL = ___ L → $ \frac{65}{10} = 6.5 $ L → 6.5 L

18. 16 dL = ___ cL → $ 16 × 10 = 160 $ cL → 160 cL

19. 26 L = ___ dL → $ 26 × 10 = 260 $ dL → 260 dL

20. 65 dL = ___ L → $ \frac{65}{10} = 6.5 $ L → 6.5 L

21. 88 dL = ___ cL → $ 88 × 10 = 880 $ cL → 880 cL

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🔹 Section 3: Mixed Conversions

Now we have various units: liters, grams, kilograms, millimeters, etc.

#### Key Conversions:
- 1 L = 100 cL
- 1 kg = 1000 g
- 1 hg = 100 g
- 1 m = 100 cm = 1000 mm
- 1 dm = 10 cm
- 1 cm = 10 mm

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1. 1 L = ___ cL → $ 1 × 100 = 100 $ cL → ✔ 100 cL (given)

2. 95 cm = ___ m → $ \frac{95}{100} = 0.95 $ m → 0.95 m

3. 93 kg = ___ hg → $ 93 × 10 = 930 $ hg → 930 hg

4. 54 kg = ___ g → $ 54 × 1000 = 54,000 $ g → 54,000 g

5. 27 dL = ___ L → $ \frac{27}{10} = 2.7 $ L → 2.7 L

6. 27 L = ___ cL → $ 27 × 100 = 2,700 $ cL → 2,700 cL

7. 15 mm = ___ m → $ \frac{15}{1000} = 0.015 $ m → 0.015 m

8. 11 kg = ___ hg → $ 11 × 10 = 110 $ hg → 110 hg

9. 34 kg = ___ g → $ 34 × 1000 = 34,000 $ g → 34,000 g

10. 18 cL = ___ dL → $ \frac{18}{10} = 1.8 $ dL → 1.8 dL

11. 28 mm = ___ m → $ \frac{28}{1000} = 0.028 $ m → 0.028 m

12. 100 mm = ___ m → $ \frac{100}{1000} = 0.1 $ m → 0.1 m

13. 16 dL = ___ L → $ \frac{16}{10} = 1.6 $ L → 1.6 L

14. 4 g = ___ hg → $ \frac{4}{100} = 0.04 $ hg → 0.04 hg

15. 72 cL = ___ L → $ \frac{72}{100} = 0.72 $ L → 0.72 L

16. 79 g = ___ kg → $ \frac{79}{1000} = 0.079 $ kg → 0.079 kg

17. 41 cm = ___ m → $ \frac{41}{100} = 0.41 $ m → 0.41 m

18. 100 g = ___ kg → $ \frac{100}{1000} = 0.1 $ kg → 0.1 kg

19. 24 hg = ___ kg → $ \frac{24}{10} = 2.4 $ kg → 2.4 kg

20. 50 cL = ___ L → $ \frac{50}{100} = 0.5 $ L → 0.5 L

21. 77 cm = ___ mm → $ 77 × 10 = 770 $ mm → 770 mm

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✔ Final Answer Summary:

#### Distance Conversions
| Original | Converted |
|--------|----------|
| 10 cm | 0.1 m |
| 19 dm | 1.9 m |
| 71 cm | 710 mm |
| 86 cm | 0.86 m |
| 22 dm | 2.2 m |
| 65 cm | 650 mm |
| 62 cm | 0.62 m |
| 90 dm | 9 m |
| 81 cm | 810 mm |
| 86 cm | 0.86 m |
| 74 dm | 7.4 m |
| 64 cm | 640 mm |
| 31 cm | 0.31 m |
| 89 dm | 8.9 m |
| 21 cm | 210 mm |
| 61 cm | 0.61 m |
| 59 dm | 5.9 m |
| 10 cm | 100 mm |

#### Volume Conversions
| Original | Converted |
|--------|----------|
| 84 L | 840 dL |
| 42 dL | 4.2 L |
| 32 dL | 320 cL |
| 13 L | 130 dL |
| 31 dL | 3.1 L |
| 84 dL | 840 cL |
| 84 L | 840 dL |
| 98 dL | 9.8 L |
| 81 dL | 810 cL |
| 49 L | 490 dL |
| 6 dL | 0.6 L |
| 42 dL | 420 cL |
| 41 L | 410 dL |
| 65 dL | 6.5 L |
| 16 dL | 160 cL |
| 26 L | 260 dL |
| 65 dL | 6.5 L |
| 88 dL | 880 cL |

#### Mixed Conversions
| Original | Converted |
|--------|----------|
| 95 cm | 0.95 m |
| 93 kg | 930 hg |
| 54 kg | 54,000 g |
| 27 dL | 2.7 L |
| 27 L | 2,700 cL |
| 15 mm | 0.015 m |
| 11 kg | 110 hg |
| 34 kg | 34,000 g |
| 18 cL | 1.8 dL |
| 28 mm | 0.028 m |
| 100 mm | 0.1 m |
| 16 dL | 1.6 L |
| 4 g | 0.04 hg |
| 72 cL | 0.72 L |
| 79 g | 0.079 kg |
| 41 cm | 0.41 m |
| 100 g | 0.1 kg |
| 24 hg | 2.4 kg |
| 50 cL | 0.5 L |
| 77 cm | 770 mm |

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✔ All answers are now filled in with correct metric conversions.

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