When rounded off to nearest thousands, 85642 is
85600
85700
85000
86000
We want to round 85,642 to the nearest thousand.
Step 1: Split the number into the thousands part and the remainder after thousands.
\(85{,}642 = 85{,}000 + 642\)
Step 2: Look at the remainder (the part after the thousands). If this part is 500 or more, we round the thousands up. If it is less than 500, we keep the thousands the same.
Here the remainder is \(642\). Since \(642 \ge 500\), we round up.
Step 3: Add one thousand to the thousands part:
\(85{,}000 + 1{,}000 = 86{,}000\)
Answer: \(86{,}000\). So option D is correct.