Which of the following measurement is more accurate?

Options

A. 40m
B. 4.0m
C. `4.00m`
D. `4.000m`

Answer

To determine which of the given measurements is the most accurate, we need to analyze the precision of each measurement based on the number of significant figures they contain. The more significant figures a measurement has, the more precise it is considered to be.

### Step-by-Step Solution:

1. **Identify the Measurements**: The measurements provided are:
- A: 40 meters
- B: 4.0 meters
- C: 4.00 meters
- D: 4.000 meters

2. **Count the Significant Figures**:
- **40 meters**: This measurement has 1 significant figure (the '4'). The '0' is not considered significant because it does not follow a decimal point.
- **4.0 meters**: This measurement has 2 significant figures (the '4' and the '0' after the decimal point).
- **4.00 meters**: This measurement has 3 significant figures (the '4', the '0' after the decimal, and the second '0').
- **4.000 meters**: This measurement has 4 significant figures (the '4' and three '0's after the decimal point).

3. **Determine the Most Accurate Measurement**:
- The accuracy of a measurement is indicated by the number of significant figures. The more significant figures, the more precise the measurement.
- Comparing the significant figures:
- 40 meters: 1 significant figure
- 4.0 meters: 2 significant figures
- 4.00 meters: 3 significant figures
- 4.000 meters: 4 significant figures

4. **Conclusion**: The measurement with the highest number of significant figures is **4.000 meters**, which has 4 significant figures. Therefore, it is the most accurate measurement among the options provided.

### Final Answer:
The most accurate measurement is **4.000 meters**.

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