Let's solve the conversion problems step by step. We'll use the
SI units of length and their relationships:
SI Unit Conversions (Length):
- 1 kilometer (km) = 1000 meters (m)
- 1 hectometer (hm) = 100 meters (m)
- 1 decameter (dam) = 10 meters (m)
- 1 meter (m) = 100 centimeters (cm)
- 1 meter (m) = 1000 millimeters (mm)
- 1 decimeter (dm) = 10 centimeters (cm) = 0.1 m
- 1 centimeter (cm) = 10 millimeters (mm)
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Part a) Convert to meters
1.
5 km = ? m
$ 5 \times 1000 = 5000 $ m
✔ 5000 m
2.
0.75 km = ? m
$ 0.75 \times 1000 = 750 $ m
✔ 750 m
3.
5 hm = ? m
$ 5 \times 100 = 500 $ m
✔ 500 m
4.
10 hm = ? m
$ 10 \times 100 = 1000 $ m
✔ 1000 m
5.
4 dam = ? m
$ 4 \times 10 = 40 $ m
✔ 40 m
6.
19 dam = ? m
$ 19 \times 10 = 190 $ m
✔ 190 m
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Part b) Convert to millimeters
We need to convert all lengths to
millimeters (mm).
Remember:
- 1 m = 1000 mm
- 1 dm = 10 cm = 100 mm
- 1 cm = 10 mm
1.
4 m = ? mm
$ 4 \times 1000 = 4000 $ mm
✔ 4000 mm
2.
0.55 m = ? mm
$ 0.55 \times 1000 = 550 $ mm
✔ 550 mm
3.
5 dm = ? mm
Since 1 dm = 100 mm,
$ 5 \times 100 = 500 $ mm
✔ 500 mm
4.
11 dm = ? mm
$ 11 \times 100 = 1100 $ mm
✔ 1100 mm
5.
4 cm = ? mm
$ 4 \times 10 = 40 $ mm
✔ 40 mm
6.
13 cm = ? mm
$ 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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Parent Tip: Review the logic above to help your child master the concept of si unit worksheet.
