To write the number 258 in expanded form, we need to break it down by its place values: hundreds, tens, and ones.
1. Identify the place values:
- The hundreds place is 2.
- The tens place is 5.
- The ones place is 8.
2. Multiply each digit by its corresponding place value:
- Hundreds place: [tex]\(2 \times 100 = 200\)[/tex]
- Tens place: [tex]\(5 \times 10 = 50\)[/tex]
- Ones place: [tex]\(8 \times 1 = 8\)[/tex]
3. Combine these values into the expanded form:
- The expanded form of 258 is [tex]\(200 + 50 + 8\)[/tex].
Therefore,
[tex]\[
258 = 200 + 50 + 8
\][/tex]