Step 1: Identify the rounding place — nearest thousand. The thousands digit in 6 749 is 6. Step 2: Look at the digit immediately to the right of the thousands place — the hundreds digit. The hundreds digit is 7. Step 3: Rounding rule: if the hundreds digit is 5 or more, round the thousands digit up by 1; if less than 5, keep it the same. Here 7 ≥ 5, so 6 rounds up to 7. Step 4: Replace the hundreds, tens and ones digits with zeros. Final: 6 749 rounded to the nearest thousand is 7 000. Answer: 7 000