To determine the level of precision for the solution to the given addition problem, we need to examine the number of decimal places in each of the numbers involved in the addition:
1. First number: [tex]\(6.339 \, \text{m}\)[/tex]
- The number [tex]\(6.339\)[/tex] has 3 decimal places.
2. Second number: [tex]\(0.170 \, \text{m}\)[/tex]
- The number [tex]\(0.170\)[/tex] also has 3 decimal places.
3. Third number: [tex]\(30.4 \, \text{m}\)[/tex]
- The number [tex]\(30.4\)[/tex] has only 1 decimal place.
The precision of a calculated result involving addition or subtraction is determined by the number with the least number of decimal places among the values being added or subtracted. In this case, the number [tex]\(30.4 \, \text{m}\)[/tex] has the least number of decimal places, which is 1 decimal place. Hence, the result of the addition problem should also be rounded to 1 decimal place.
Therefore, the level of precision for the solution to the given addition problem is 0.1 m.
