Final answer:
Two six-digit numbers with identical digits except for the hundreds place can be compared based on that digit; for instance, 123456 is less than 123756 because 4 is less than 7 in the hundreds place.
Step-by-step explanation:
When looking at two six-digit numbers to determine which one is greater, we focus on the place value of the digits, starting from the leftmost non-zero digit. In particular, if the digits up to the hundreds place are the same, the hundreds place will determine the greater number. For example, consider the numbers 123456 and 123756. Here the thousands and ten-thousands places are the same in both numbers (23), but the hundreds place is different (4 vs. 7).
Since 7 is greater than 4, 123756 is the greater number solely based on the value of the hundreds place. This is an important concept in understanding place value and when comparing large numbers.