Determine the relationship between two statements regarding significant figures in km

Understanding Significant Figures and Approximation

Significant figures (sig figs) are important in determining the precision of measurements. They represent the reliable digits in a number, including all certain digits plus one uncertain digit.

Explanation of the Statements

Statement A states 2.567 km, approximated to two significant figures. This means that we only consider the first two whole numbers after the decimal point for our approximation. Therefore, 2.567 km becomes 2.6 km.

On the other hand, Statement B mentions 2.567 km, approximated to three significant figures. In this case, we need to only consider the first three whole numbers after the decimal point for our approximation. Hence, 2.567 km becomes 2.57 km.

Comparison and Conclusion

Comparing the two approximated values, 2.6 km (Statement A) is greater than 2.57 km (Statement B). Therefore, in terms of significant figures, Statement A is greater than Statement B.