Metric unit conversion worksheet using the ladder method for learning and practice.

Let's solve the problem step by step, starting with the Metric Conversion Challenge.

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✔ Part 1: Write the correct abbreviation for each metric unit

| Number | Unit | Abbreviation |
|--------|----------------|--------------|
| 1) | Kilogram | kg |
| 2) | Meter | m |
| 3) | Gram | g |
| 4) | Milliliter | mL |
| 5) | Millimeter | mm |
| 6) | Liter | L |
| 7) | Kilometer | km |
| 8) | Centimeter | cm |
| 9) | Milligram | mg |

✔ These are standard metric abbreviations.

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✔ Part 2: Metric Conversions Using the Ladder Method

We’ll use the ladder method (also called the metric staircase), which involves moving the decimal point based on how many steps you take between units.

The ladder from largest to smallest:
```
Kilo (k) → Hecto (h) → Deka (da) → Basic Unit → Deci (d) → Centi (c) → Milli (m)
```

Each step is a power of 10. Moving right = multiply (smaller unit).
Moving left = divide (larger unit).

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#### 🔁 Let’s go through each conversion:

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10) 2000 mg = ___ g

- mg → g: move 3 steps left (milli → basic unit)
- Move decimal 3 places left:
2000 mg = 2.000 g → 2 g

✔ Answer: 2 g

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11) 104 km = ___ m

- km → m: move 3 steps right (kilo → basic unit)
- Move decimal 3 places right:
104 km = 104,000 m

✔ Answer: 104,000 m

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12) 480 cm = ___ m

- cm → m: move 2 steps left (centi → basic unit)
- Move decimal 2 places left:
480 cm = 4.80 m

✔ Answer: 4.8 m

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13) 5.6 kg = ___ g

- kg → g: move 3 steps right
- Move decimal 3 places right:
5.6 kg = 5,600 g

✔ Answer: 5,600 g

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14) 8 mm = ___ cm

- mm → cm: move 1 step left (milli → centi)
- Move decimal 1 place left:
8 mm = 0.8 cm

✔ Answer: 0.8 cm

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15) 5 L = ___ mL

- L → mL: move 3 steps right
- Move decimal 3 places right:
5 L = 5,000 mL

✔ Answer: 5,000 mL

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16) 198 g = ___ kg

- g → kg: move 3 steps left
- Move decimal 3 places left:
198 g = 0.198 kg

✔ Answer: 0.198 kg

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17) 75 mL = ___ L

- mL → L: move 3 steps left
- Move decimal 3 places left:
75 mL = 0.075 L

✔ Answer: 0.075 L

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18) 50 cm = ___ m

- cm → m: move 2 steps left
- Move decimal 2 places left:
50 cm = 0.50 m

✔ Answer: 0.5 m

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19) 5.6 m = ___ cm

- m → cm: move 2 steps right
- Move decimal 2 places right:
5.6 m = 560 cm

✔ Answer: 560 cm

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20) 16 cm = ___ mm

- cm → mm: move 1 step right
- Move decimal 1 place right:
16 cm = 160 mm

✔ Answer: 160 mm

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21) 2500 m = ___ km

- m → km: move 3 steps left
- Move decimal 3 places left:
2500 m = 2.5 km

✔ Answer: 2.5 km

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22) 65 g = ___ mg

- g → mg: move 3 steps right
- Move decimal 3 places right:
65 g = 65,000 mg

✔ Answer: 65,000 mg

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23) 6.3 cm = ___ mm

- cm → mm: move 1 step right
- Move decimal 1 place right:
6.3 cm = 63 mm

✔ Answer: 63 mm

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24) 120 mg = ___ g

- mg → g: move 3 steps left
- Move decimal 3 places left:
120 mg = 0.120 g

✔ Answer: 0.12 g

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✔ Final Answers Summary

| Problem | Answer |
|--------|----------------|
| 10) | 2 g |
| 11) | 104,000 m |
| 12) | 4.8 m |
| 13) | 5,600 g |
| 14) | 0.8 cm |
| 15) | 5,000 mL |
| 16) | 0.198 kg |
| 17) | 0.075 L |
| 18) | 0.5 m |
| 19) | 560 cm |
| 20) | 160 mm |
| 21) | 2.5 km |
| 22) | 65,000 mg |
| 23) | 63 mm |
| 24) | 0.12 g |

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📌 Key Tips for the Ladder Method:

1. Start at your original unit.
2. Count how many steps to the target unit.
3. Move the decimal that many places in the same direction.
- To smaller units: move right (multiply).
- To larger units: move left (divide).

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