To determine the correct way to write 72,031 in expanded form, we need to break down the number according to the place value of each digit. Here's a step-by-step breakdown:
1. Identify the digits: The number 72,031 consists of the digits 7, 2, 0, 3, and 1.
2. Determine the place value of each digit:
- The digit 7 is in the ten-thousands place.
- The digit 2 is in the thousands place.
- The digit 0 is in the hundreds place.
- The digit 3 is in the tens place.
- The digit 1 is in the ones place.
3. Express each digit according to its place value:
- 7 in the ten-thousands place is 70,000.
- 2 in the thousands place is 2,000.
- 0 in the hundreds place is 0. We can omit this in the expanded form as it does not contribute any value.
- 3 in the tens place is 30.
- 1 in the ones place is 1.
Now, combining these values, the expanded form of 72,031 is:
[tex]\[ 70,000 + 2,000 + 30 + 1 \][/tex]
Therefore, the correct way to write 72,031 in expanded form is:
[tex]\[ \boxed{70,000 + 2,000 + 30 + 1} \][/tex]
