Place value worksheet for practicing breaking down numbers into thousands, hundreds, tens, and ones.

Problem Explanation:

The task involves breaking down each given number into its place values (thousands, hundreds, tens, and ones) and then writing the expanded form of the number. The expanded form is a way of expressing the number as the sum of the values of its digits.

Steps to Solve:

1. Identify the Place Values:
- Each digit in a number has a specific place value:
- Thousands: The digit in the fourth position from the right.
- Hundreds: The digit in the third position from the right.
- Tens: The digit in the second position from the right.
- Ones: The digit in the first position from the right.

2. Write the Expanded Form:
- Multiply each digit by its place value and write it as a sum.
- For example, for the number 6945:
- Thousands: \(6 \times 1000 = 6000\)
- Hundreds: \(9 \times 100 = 900\)
- Tens: \(4 \times 10 = 40\)
- Ones: \(5 \times 1 = 5\)
- Expanded form: \(6000 + 900 + 40 + 5\)

3. Fill in the Table:
- For each number, identify the place values and write them in the table.
- Then, write the expanded form in the last column.

Solution:

#### Number: 6945
- Thousands: 6
- Hundreds: 9
- Tens: 4
- Ones: 5
- Expanded Form: \(6000 + 900 + 40 + 5\)

#### Number: 2351
- Thousands: 2
- Hundreds: 3
- Tens: 5
- Ones: 1
- Expanded Form: \(2000 + 300 + 50 + 1\)

#### Number: 7836
- Thousands: 7
- Hundreds: 8
- Tens: 3
- Ones: 6
- Expanded Form: \(7000 + 800 + 30 + 6\)

#### Number: 9538
- Thousands: 9
- Hundreds: 5
- Tens: 3
- Ones: 8
- Expanded Form: \(9000 + 500 + 30 + 8\)

#### Number: 3126
- Thousands: 3
- Hundreds: 1
- Tens: 2
- Ones: 6
- Expanded Form: \(3000 + 100 + 20 + 6\)

#### Number: 7394
- Thousands: 7
- Hundreds: 3
- Tens: 9
- Ones: 4
- Expanded Form: \(7000 + 300 + 90 + 4\)

Final Answer:

\[
\boxed{
\begin{array}{|c|c|c|}
\hline
\text{Number} & \text{Thousands, Hundreds, Tens, and Ones} & \text{Expanded Form} \\
\hline
6945 & 6 \text{ thousands}, 9 \text{ hundreds}, 4 \text{ tens}, 5 \text{ ones} & 6000 + 900 + 40 + 5 \\
\hline
2351 & 2 \text{ thousands}, 3 \text{ hundreds}, 5 \text{ tens}, 1 \text{ ones} & 2000 + 300 + 50 + 1 \\
\hline
7836 & 7 \text{ thousands}, 8 \text{ hundreds}, 3 \text{ tens}, 6 \text{ ones} & 7000 + 800 + 30 + 6 \\
\hline
9538 & 9 \text{ thousands}, 5 \text{ hundreds}, 3 \text{ tens}, 8 \text{ ones} & 9000 + 500 + 30 + 8 \\
\hline
3126 & 3 \text{ thousands}, 1 \text{ hundreds}, 2 \text{ tens}, 6 \text{ ones} & 3000 + 100 + 20 + 6 \\
\hline
7394 & 7 \text{ thousands}, 3 \text{ hundreds}, 9 \text{ tens}, 4 \text{ ones} & 7000 + 300 + 90 + 4 \\
\hline
\end{array}
}
\]