A laboratory record shows a distance of 0.004 kilometers between two points. How should this be written in SI units of length for a scientific report?
4 m
To convert the given distance from kilometers to the SI unit of length, which is meters, we need to use the conversion factor between kilometers and meters.
- Recall that 1 kilometer is equal to 1000 meters.
- Given distance: 0.004 kilometers.
- To convert kilometers to meters, multiply the number by 1000:
\(0.004 \, \text{km} \times 1000 \, \frac{\text{m}}{\text{km}} = 4 \, \text{m}\)
Therefore, the correct conversion of 0.004 kilometers to meters is 4 meters.
Now, let's analyze the options to determine which one correctly represents 0.004 kilometers in SI units:
- \(4 \, \text{m}\): This is the correct conversion, as calculated above.
- \(4000 \, \text{mm}\): Converting meters to millimeters (since 1 m = 1000 mm) would indeed give 4000 mm, supporting the correctness, but the SI base unit is meter, making 4 m more appropriate for direct conversion.
- \(400 \, \text{cm}\): Since 1 m = 100 cm, 4 m would be equivalent to 400 cm; however, this answer does not directly convert from kilometers to meters.
- \(0.4 \, \text{m}\): Incorrect, as demonstrated by our calculation showing that 0.004 km equals 4 m.
Conclusively, the correct option for converting 0.004 kilometers to the SI unit of length is 4 meters.
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