To find the largest number among 5.034, 5.34, and 5.043, let's compare these numbers one-by-one:
1. First, we compare 5.034 and 5.34. Since 0.34 is larger than 0.034, therefore, 5.34 is larger than 5.034.
2. Next, we need to compare this larger number (5.34) with the remaining number 5.043. Here, 0.34 is also larger than 0.043.
So, after these comparisons, we see that 5.34 turns out to be the largest number among the three numbers 5.034, 5.34, and 5.043.