Final answer:
To estimate the difference between 577 and 27, we round to the nearest multiples of 25, getting 575 and 25, and then subtract to find that the estimated difference is approximately 550.
Step-by-step explanation:
To estimate the difference between 577 and 27 by adjusting to compatible numbers that count by 25s and then subtracting, we need to round both numbers to the nearest multiple of 25 that is less than or equal to each number. For 577, a compatible number is 575, because it is a multiple of 25 (23 x 25) and is close to 577. For 27, the nearest multiple of 25 is 25 itself.
Now, we subtract the compatible numbers: 575 - 25 = 550. So, the estimated difference between 577 and 27, using compatible numbers that count by 25s, is approximately 550.