Metric conversion - 10 pages - Planetpsyd - Free Printable

You're working on a Metric Unit Conversion worksheet. Let’s solve all the problems step by step, explaining the logic behind each conversion.

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## ✔ SECTION 1: Convert Distance Measurements

Key Metric Prefixes for Length:

- kilo (k) = 1000
- hecto (h) = 100
- deca (da) = 10
- base unit (m) = 1
- deci (d) = 0.1
- centi (c) = 0.01
- milli (m) = 0.001

So:
- cm → m: divide by 100 (since 1 m = 100 cm)
- dm → m: divide by 10 (since 1 m = 10 dm)
- cm → mm: multiply by 10 (since 1 cm = 10 mm)

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Column 1: cm → m

- 100 cm = 1 m ✔ (given)
- 10 cm = 0.1 m
- 86 cm = 0.86 m
- 62 cm = 0.62 m
- 86 cm = 0.86 m (again)
- 31 cm = 0.31 m
- 61 cm = 0.61 m

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Column 2: dm → m

- 63 dm = 6.3 m ✔ (given)
- 19 dm = 1.9 m
- 22 dm = 2.2 m
- 90 dm = 9.0 m
- 74 dm = 7.4 m
- 89 dm = 8.9 m
- 59 dm = 5.9 m

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Column 3: cm → mm

- 5 cm = 50 mm ✔ (given)
- 71 cm = 710 mm
- 65 cm = 650 mm
- 81 cm = 810 mm
- 64 cm = 640 mm
- 21 cm = 210 mm
- 10 cm = 100 mm

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## ✔ SECTION 2: Convert Volume Measurements

Key Metric Prefixes for Volume:

- 1 liter (L) = 10 deciliters (dL)
- 1 liter (L) = 100 centiliters (cL)

So:
- L → dL: multiply by 10
- dL → L: divide by 10
- dL → cL: multiply by 10 (since 1 dL = 10 cL)

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Column 1: L → dL

- 1 L = 10 dL ✔ (given)
- 84 L = 840 dL
- 13 L = 130 dL
- 84 L = 840 dL (again)
- 49 L = 490 dL
- 41 L = 410 dL
- 26 L = 260 dL

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Column 2: dL → L

- 26 dL = 2.6 L ✔ (given)
- 42 dL = 4.2 L
- 31 dL = 3.1 L
- 98 dL = 9.8 L
- 6 dL = 0.6 L
- 65 dL = 6.5 L
- 65 dL = 6.5 L (again)

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Column 3: dL → cL

- 61 dL = 610 cL ✔ (given)
- 32 dL = 320 cL
- 84 dL = 840 cL
- 81 dL = 810 cL
- 42 dL = 420 cL
- 16 dL = 160 cL
- 88 dL = 880 cL

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## ✔ SECTION 3: Mixed Conversions

This section mixes mass (kg, g, hg), volume (L, dL, cL), and length (cm, mm, m).

Let’s go row by row.

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Row 1:

- 1 L = 100 cL ✔ (given)
- 95 cm = 0.95 m (÷100)
- 93 kg = 930 hg (×10, since 1 kg = 10 hg)

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Row 2:

- 54 kg = 54,000 g (×1000, since 1 kg = 1000 g)
- 27 dL = 2.7 L (÷10)
- 27 L = 2700 cL (×100)

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Row 3:

- 15 mm = 0.015 m (÷1000, since 1 m = 1000 mm)
- 11 kg = 110 hg (×10)
- 34 kg = 34,000 g (×1000)

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Row 4:

- 18 cL = 1.8 dL (÷10, since 1 dL = 10 cL)
- 28 mm = 0.028 m (÷1000)
- 100 mm = 0.1 m (÷1000)

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Row 5:

- 16 dL = 1.6 L (÷10)
- 4 g = 0.04 hg (÷100, since 1 hg = 100 g)
- 72 cL = 0.72 L (÷100)

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Row 6:

- 79 g = 0.079 kg (÷1000)
- 41 cm = 0.41 m (÷100)
- 100 g = 0.1 kg (÷1000)

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Row 7:

- 24 hg = 2.4 kg (÷10)
- 50 cL = 0.5 L (÷100)
- 77 cm = 770 mm (×10)

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## 📝 Final Answer Summary:

Here’s the completed worksheet with all blanks filled:

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Convert Distance Measurements

| 100 cm = 1 m | 63 dm = 6.3 m | 5 cm = 50 mm |
|----------------------|----------------------|----------------------|
| 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 = 9.0 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 |

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Convert Volume Measurements

| 1 L = 10 dL | 26 dL = 2.6 L | 61 dL = 610 cL |
|----------------------|----------------------|----------------------|
| 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 |

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Convert (Mixed)

| 1 L = 100 cL | 95 cm = 0.95 m | 93 kg = 930 hg |
|----------------------|----------------------|----------------------|
| 54 kg = 54000 g | 27 dL = 2.7 L | 27 L = 2700 cL |
| 15 mm = 0.015 m | 11 kg = 110 hg | 34 kg = 34000 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 conversions are now complete and explained!

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