Let's solve this problem step-by-step to find the difference between 3.150 m and 2.006 m with the correct number of significant figures.
1. Given Values:
- Length 1: 3.150 m
- Length 2: 2.006 m
2. Calculate the Difference:
- We subtract 2.006 from 3.150:
[tex]\[
\text{Difference} = 3.150 \, \text{m} - 2.006 \, \text{m} = 1.144 \, \text{m}
\][/tex]
3. Determine the Number of Significant Figures:
- The number of decimal places in the given values is 3 for both 3.150 and 2.006.
- Therefore, the result should be rounded to 3 decimal places to maintain the least number of decimal places.
4. Result with Correct Significant Figures:
- The calculated difference, 1.144, already has 3 decimal places.
Thus, the difference between 3.150 m and 2.006 m with the correct number of significant figures is:
[tex]\[
\boxed{1.144 \, \text{m}}
\][/tex]
From the given options, the correct choice is:
O 1.144 m.
