To write 6,739 in expanded form, we break it down according to each digit's place value:
- The digit 6 is in the thousands place, so it represents \(6 \times 1,000\).
- The digit 7 is in the hundreds place, so it represents \(7 \times 100\).
- The digit 3 is in the tens place, so it represents \(3 \times 10\).
- The digit 9 is in the ones place, so it represents \(9 \times 1\).
Putting it all together, we have:
(6×1,000) + (7×100) + (3×10) + (9×1)
So, the correct choice is:
(6×1,000) + (7×100) + (3×10) + (9×1).