To express the number 2,701 in expanded form using decimal expansions, we break it down based on the place value of each digit:
- The digit '2' is in the thousands place, so it represents \(2 \times 1000\).
- The digit '7' is in the hundreds place, so it represents \(7 \times 100\).
- The digit '0' is in the tens place, so it represents \(0 \times 10\).
- The digit '1' is in the units place, so it represents \(1 \times 1\).
Putting it all together, the expanded form of 2,701 is:
\[ 2,701 = 2 \times 1000 + 7 \times 100 + 0 \times 10 + 1 \times 1 \]
So, the final expanded form is:
\[ 2,701 = 2000 + 700 + 0 + 1 \]
This simplifies to:
\[ 2,701 = 2000 + 700 + 1 \]