Step 1 :The question is asking which number is closest to 6. We can solve this by calculating the absolute difference between each number and 6, then finding the smallest difference.
Step 2 :Calculate the absolute difference between each number and 6: \(|5.3 - 6| = 0.7, |6.7 - 6| = 0.7, |5.8 - 6| = 0.2, |6.5 - 6| = 0.5\)
Step 3 :Find the smallest difference: The smallest difference is 0.2, which corresponds to the number 5.8
Step 4 :Final Answer: The number Denise marked and labeled closest to 6 is \(\boxed{5.8}\) (H).