Which of the following measurement is most precise?

Options

A. 5.00mm
B. 5.00cm
C. 5.00m
D. 5.00km

Explanation

To determine which of the given measurements is the most precise, we need to analyze the options based on their units and the level of detail they provide. Here’s a step-by-step solution:

### Step 1: Identify the Units
The options provided are:
1. Millimeter (mm)
2. Meter (m)
3. Centimeter (cm)
4. Kilometers (km)

### Step 2: Understand Precision
Precision in measurements refers to how close the measurements are to each other and how detailed the measurements are. The smaller the unit of measurement, the more precise it typically is, as it can represent smaller changes.

### Step 3: Compare the Units
- **Millimeter (mm)**: 1 mm = 0.001 m
- **Centimeter (cm)**: 1 cm = 0.01 m
- **Meter (m)**: 1 m = 1 m
- **Kilometer (km)**: 1 km = 1000 m

### Step 4: Determine the Smallest Unit
Among the options, the millimeter (mm) is the smallest unit. This means that it can measure smaller distances compared to centimeters, meters, and kilometers.

### Step 5: Analyze the Error
The error associated with each unit can also help us determine precision:
- For mm, the smallest measurable error is 0.01 mm.
- For cm, the smallest measurable error is 0.01 cm (which is equivalent to 0.1 mm).
- For m, the smallest measurable error is 0.01 m (which is equivalent to 10 mm).
- For km, the smallest measurable error is 0.01 km (which is equivalent to 10,000 mm).

### Step 6: Conclusion
Since the millimeter is the smallest unit and has the smallest associated error, it is the most precise measurement among the options provided.

### Final Answer
The most precise measurement is **Millimeter (mm)**.

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