SI Units Conversion Worksheet for practicing metric system conversions.

Let's solve the SI Units Conversion Worksheet step by step. We'll go through both parts:

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Part 1: Convert between names and abbreviations

We need to match the abbreviation with its full name or vice versa.

| Number | Given | Answer |
|--------|--------------|----------------------|
| 1 | Km | kilometer |
| 2 | mL | milliliter |
| 3 | cg | centigram |
| 4 | dm | decimeter |
| 5 | hg | hectogram |
| 6 | millimeter | mm |
| 7 | kilogram | kg |
| 8 | deciliter | dL |
| 9 | centimeter | cm |
| 10 | hectogram | hg |

✔ Explanation: These are standard SI unit prefixes:
- k = kilo (10³)
- m = milli (10⁻³)
- c = centi (10⁻²)
- d = deci (10⁻¹)
- h = hecto (10²)

So:
- km = kilometer
- mL = milliliter
- cg = centigram
- dm = decimeter
- hg = hectogram
- millimeter → mm
- kilogram → kg
- deciliter → dL
- centimeter → cm
- hectogram → hg

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Part 2: Perform the following conversions

We’ll use metric conversion factors:
- 1 m = 100 cm
- 1 m = 1000 mm
- 1 km = 1000 m
- 1 L = 10 dL
- 1 cm = 10 mm
- 1 km = 100,000 cm = 1,000,000 mm

Let’s go one by one.

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#### 10. Convert 5.0 cm to m
We know:
1 m = 100 cm → so divide by 100
$$
5.0 \, \text{cm} = \frac{5.0}{100} = 0.05 \, \text{m}
$$

✔ Answer: 0.05 m

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#### 11. Convert 4.0 m to cm
1 m = 100 cm → multiply by 100
$$
4.0 \times 100 = 400 \, \text{cm}
$$

✔ Answer: 400 cm

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#### 12. Convert 60.1 mm to m
1 m = 1000 mm → divide by 1000
$$
60.1 \div 1000 = 0.0601 \, \text{m}
$$

✔ Answer: 0.0601 m

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#### 13. Convert 10.9 m to mm
1 m = 1000 mm → multiply by 1000
$$
10.9 \times 1000 = 10,900 \, \text{mm}
$$

✔ Answer: 10,900 mm

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#### 14. Convert 0.7 km to m
1 km = 1000 m → multiply by 1000
$$
0.7 \times 1000 = 700 \, \text{m}
$$

✔ Answer: 700 m

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#### 15. Convert 30,883 m to km
1 km = 1000 m → divide by 1000
$$
30,883 \div 1000 = 30.883 \, \text{km}
$$

✔ Answer: 30.883 km

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#### 16. Convert 300.00 dL to L
1 L = 10 dL → divide by 10
$$
300.00 \div 10 = 30.00 \, \text{L}
$$

✔ Answer: 30.00 L

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#### 17. Convert 600.00 L to dL
1 L = 10 dL → multiply by 10
$$
600.00 \times 10 = 6,000.00 \, \text{dL}
$$

✔ Answer: 6,000.00 dL

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#### 18. Convert 2.0 cm to mm
1 cm = 10 mm → multiply by 10
$$
2.0 \times 10 = 20 \, \text{mm}
$$

✔ Answer: 20 mm

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#### 19. Convert 73,900 mm to cm
1 cm = 10 mm → divide by 10
$$
73,900 \div 10 = 7,390 \, \text{cm}
$$

✔ Answer: 7,390 cm

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#### 20. Convert 3.5 mm to km
This is a large jump:
- 1 km = 1,000,000 mm (since 1 km = 1000 m, 1 m = 1000 mm → 1 km = 10⁶ mm)
So divide by 1,000,000
$$
3.5 \div 1,000,000 = 0.0000035 \, \text{km}
$$

✔ Answer: 0.0000035 km (or $ 3.5 \times 10^{-6} $ km)

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#### 21. Convert 80 km to mm
1 km = 1,000,000 mm → multiply by 1,000,000
$$
80 \times 1,000,000 = 80,000,000 \, \text{mm}
$$

✔ Answer: 80,000,000 mm

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#### 22. Convert 0.2 km to cm
First convert km → m → cm
- 0.2 km = 0.2 × 1000 = 200 m
- 200 m = 200 × 100 = 20,000 cm

Alternatively:
1 km = 100,000 cm → 0.2 × 100,000 = 20,000 cm

✔ Answer: 20,000 cm

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#### 23. Convert 4301 cm to km
1 km = 100,000 cm → divide by 100,000
$$
4301 \div 100,000 = 0.04301 \, \text{km}
$$

✔ Answer: 0.04301 km

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✔ Final Answers Summary

#### Part 1: Names & Abbreviations
1. kilometer
2. milliliter
3. centigram
4. decimeter
5. hectogram
6. mm
7. kg
8. dL
9. cm
10. hg

#### Part 2: Conversions
10. 0.05 m
11. 400 cm
12. 0.0601 m
13. 10,900 mm
14. 700 m
15. 30.883 km
16. 30.00 L
17. 6,000.00 dL
18. 20 mm
19. 7,390 cm
20. 0.0000035 km
21. 80,000,000 mm
22. 20,000 cm
23. 0.04301 km

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