Step 1 :The problem is asking for the total number of apples that can be harvested from an orchard of 600 trees, given that each tree can produce \(1.75 \times 10^{4}\) apples. This is a multiplication problem. We need to multiply the number of trees by the number of apples each tree can produce.
Step 2 :Let's denote the number of trees as \(n\) and the number of apples per tree as \(a\). So, \(n = 600\) and \(a = 1.75 \times 10^{4}\).
Step 3 :The total number of apples, \(t\), can be calculated by multiplying \(n\) and \(a\). So, \(t = n \times a\).
Step 4 :Substituting the values of \(n\) and \(a\) into the equation, we get \(t = 600 \times 1.75 \times 10^{4}\).
Step 5 :Solving the equation, we find that \(t = 1.05 \times 10^{7}\).
Step 6 :\(\boxed{1.05 \times 10^{7}}\) is the total number of apples that can be harvested from an orchard of 600 trees.