Conversion of SI Units worksheet - Free Printable

Let's solve the conversion problems step by step. We'll convert the given lengths into meters and millimeters, using the standard SI unit conversions.

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Part a) Convert to meters

We need to convert various units to meters (m).

#### Conversion factors:
- 1 km = 1000 m
- 1 hm = 100 m
- 1 dam = 10 m

Now let’s convert each:

1. 5 km
$ 5 \times 1000 = 5000 $ m
✔ 5000 m

2. 0.75 km
$ 0.75 \times 1000 = 750 $ m
✔ 750 m

3. 5 hm
$ 5 \times 100 = 500 $ m
✔ 500 m

4. 10 hm
$ 10 \times 100 = 1000 $ m
✔ 1000 m

5. 4 dam
$ 4 \times 10 = 40 $ m
✔ 40 m

6. 19 dam
$ 19 \times 10 = 190 $ m
✔ 190 m

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Part b) Convert to millimeters

We need to convert to millimeters (mm).

#### Conversion factors:
- 1 m = 1000 mm
- 1 dm = 100 mm (since 1 dm = 0.1 m → 0.1 × 1000 = 100 mm)
- 1 cm = 10 mm

Now let’s convert each:

1. 4 m
$ 4 \times 1000 = 4000 $ mm
✔ 4000 mm

2. 0.55 m
$ 0.55 \times 1000 = 550 $ mm
✔ 550 mm

3. 5 dm
$ 5 \times 100 = 500 $ mm
✔ 500 mm

4. 11 dm
$ 11 \times 100 = 1100 $ mm
✔ 1100 mm

5. 4 cm
$ 4 \times 10 = 40 $ mm
✔ 40 mm

6. 13 cm
$ 13 \times 10 = 130 $ mm
✔ 130 mm

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✔ Final Answers:

#### a) Convert to meters:
- 5 km = 5000 m
- 0.75 km = 750 m
- 5 hm = 500 m
- 10 hm = 1000 m
- 4 dam = 40 m
- 19 dam = 190 m

#### b) Convert to millimeters:
- 4 m = 4000 mm
- 0.55 m = 550 mm
- 5 dm = 500 mm
- 11 dm = 1100 mm
- 4 cm = 40 mm
- 13 cm = 130 mm

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Let me know if you'd like this in a printable format or with explanations for each step!