The number of significant figures in the measured value 4.700 m is the same as that in the value

Options

A. 4700 m
B. 0.047 m
C. 4070 m
D. 470.0 m

Answer

To determine the number of significant figures in the measured value of 4.700 m and find a value with the same number of significant figures, we can follow these steps:

### Step 1: Identify the significant figures in 4.700 m
- The number 4.700 has a decimal point, and according to the rules of significant figures, all non-zero digits are significant.
- Additionally, any zeros that are to the right of a decimal point and follow a non-zero digit are also significant.
- Therefore, in 4.700, the digits 4, 7, and the two zeros are all significant.

**Total significant figures in 4.700 m = 4.**

### Step 2: Analyze the options provided
We need to analyze each option to determine how many significant figures they contain:

1. **Option 1: 4700**
- This number does not have a decimal point. Therefore, the trailing zeros are not considered significant.
- Significant figures = 2 (only 4 and 7).

2. **Option 2: 0.00470**
- This number has a decimal point. The leading zeros (0.00) are not significant, but the trailing zero after 4 and 7 is significant.
- Significant figures = 3 (4, 7, and the trailing 0).

3. **Option 3: 407**
- This number does not have a decimal point. The trailing zero is not significant.
- Significant figures = 3 (4, 0, and 7).

4. **Option 4: 4.70**
- This number has a decimal point. Both the 4 and 7 are significant, and the trailing zero is also significant.
- Significant figures = 3 (4, 7, and the trailing 0).

### Step 3: Compare the significant figures
- We found that 4.700 m has 4 significant figures.
- Now, we compare the significant figures of each option:
- Option 1: 2 significant figures
- Option 2: 3 significant figures
- Option 3: 3 significant figures
- Option 4: 3 significant figures

None of the options have 4 significant figures, but if we consider the closest match, we can see that none of them match.

### Conclusion
The correct answer is that none of the provided options have the same number of significant figures as 4.700 m.