To determine the level of precision for the solution, we need to first look at the precision of each individual measurement.
Given measurements:
1. 6.339 meters
2. 0.170 meters
3. 30.4 meters
Understanding precision:
- The precision of a number is determined by the smallest place value that it specifies.
- In 6.339 meters and 0.170 meters, the smallest place value specified is the thousandth place (0.001 meters).
- In 30.4 meters, the smallest place value specified is the tenth place (0.1 meters).
When adding numbers together, the result should be reported to the least precise measurement among the numbers involved.
Precision of given measurements:
- 6.339 meters: precision of 0.001 meters
- 0.170 meters: precision of 0.001 meters
- 30.4 meters: precision of 0.1 meters
The least precise number is 30.4 meters, which has a precision of 0.1 meters. Therefore, the result of the addition should be reported to this same level of precision.
Result:
Thus, the level of precision for the solution to the addition problem is 0.1 meters.
