Final answer:
By rounding each number to the nearest thousand, 35,512 rounds to 36,000 and 25,890 rounds to 26,000, making the estimated difference 10,000.
Step-by-step explanation:
To estimate 35,512 - 25,890 by rounding each number to the nearest thousand, we should look at the last three digits of each number and round to the closest thousand based on the standard rounding rules. For 35,512, the last three digits are '512' which rounds up to 36,000, because '512' is more than half of '1,000'. For 25,890, the last three digits are '890' which also rounds up to 26,000, because '890' is more than half of '1,000'. The estimated difference would be 36,000 - 26,000, which equals 10,000.