To determine the correct way to write the number 72,031 in expanded form, we need to break it down by each place value. We'll start from the largest place value and work our way to the smallest:
1. Tens of thousands place: The number 72,031 has a '7' in the ten-thousands place. This contributes 70,000 to the expanded form.
2. Thousands place: Next, there's a '2' in the thousands place. This contributes 2,000 to the expanded form.
3. Hundreds place: For the hundreds place, the digit is '0', which doesn't need to be explicitly added in the expanded form since it contributes zero.
4. Tens place: There is a '3' in the tens place. This contributes 30 to the expanded form.
5. Units place: Finally, there is a '1' in the units place, contributing 1 to the expanded form.
Putting all these contributions together, the correct expanded form of 72,031 is:
[tex]\[ 70,000 + 2,000 + 30 + 1 \][/tex]
Thus, the correct choice is:
[tex]\[ 70,000 + 2,000 + 30 + 1 \][/tex]
This matches the second option provided in the list of choices:
[tex]\[ 70,000+2,000+30+1 \][/tex]
Therefore, the correct answer is:
[tex]\[ \boxed{70,000+2,000+30+1} \][/tex]
