Place value worksheet for students to practice writing numbers in expanded form.

Problem Description:

The task is to write the expanded form of the given numbers. The expanded form of a number breaks it down into the value of each digit based on its place value (hundreds, tens, and ones).

Solution:

#### Step 1: Understand Place Value
- Hundreds place: The digit in the hundreds place represents how many groups of 100.
- Tens place: The digit in the tens place represents how many groups of 10.
- Ones place: The digit in the ones place represents individual units.

#### Step 2: Write the Expanded Form
For each number, break it down into its place values and express it as a sum of these values.

#### Numbers and Their Expanded Forms:

1. 324
- Hundreds: \(3 \times 100 = 300\)
- Tens: \(2 \times 10 = 20\)
- Ones: \(4 \times 1 = 4\)
- Expanded form: \(300 + 20 + 4\)

2. 236
- Hundreds: \(2 \times 100 = 200\)
- Tens: \(3 \times 10 = 30\)
- Ones: \(6 \times 1 = 6\)
- Expanded form: \(200 + 30 + 6\)

3. 743
- Hundreds: \(7 \times 100 = 700\)
- Tens: \(4 \times 10 = 40\)
- Ones: \(3 \times 1 = 3\)
- Expanded form: \(700 + 40 + 3\)

4. 865
- Hundreds: \(8 \times 100 = 800\)
- Tens: \(6 \times 10 = 60\)
- Ones: \(5 \times 1 = 5\)
- Expanded form: \(800 + 60 + 5\)

5. 797
- Hundreds: \(7 \times 100 = 700\)
- Tens: \(9 \times 10 = 90\)
- Ones: \(7 \times 1 = 7\)
- Expanded form: \(700 + 90 + 7\)

6. 567
- Hundreds: \(5 \times 100 = 500\)
- Tens: \(6 \times 10 = 60\)
- Ones: \(7 \times 1 = 7\)
- Expanded form: \(500 + 60 + 7\)

7. 804
- Hundreds: \(8 \times 100 = 800\)
- Tens: \(0 \times 10 = 0\)
- Ones: \(4 \times 1 = 4\)
- Expanded form: \(800 + 0 + 4\)

8. 568
- Hundreds: \(5 \times 100 = 500\)
- Tens: \(6 \times 10 = 60\)
- Ones: \(8 \times 1 = 8\)
- Expanded form: \(500 + 60 + 8\)

9. 245
- Hundreds: \(2 \times 100 = 200\)
- Tens: \(4 \times 10 = 40\)
- Ones: \(5 \times 1 = 5\)
- Expanded form: \(200 + 40 + 5\)

Final Answer:

\[
\boxed{
\begin{aligned}
324 & : 300 + 20 + 4 \\
236 & : 200 + 30 + 6 \\
743 & : 700 + 40 + 3 \\
865 & : 800 + 60 + 5 \\
797 & : 700 + 90 + 7 \\
567 & : 500 + 60 + 7 \\
804 & : 800 + 0 + 4 \\
568 & : 500 + 60 + 8 \\
245 & : 200 + 40 + 5 \\
\end{aligned}
}
\]