Place Value Worksheets -Worksheets Library - Free Printable

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 by adding up the value of each digit based on its place.

Steps to Solve:

1. Identify Place Values:
- For any number, the digits are placed in the following columns from left to right: thousands, hundreds, tens, and ones.
- For example, in the number 5482:
- Thousands place: 5
- Hundreds place: 4
- Tens place: 8
- Ones place: 2

2. Write the Expanded Form:
- Multiply each digit by the value of its place and then add them together.
- For the number 5482:
- Thousands: \(5 \times 1000 = 5000\)
- Hundreds: \(4 \times 100 = 400\)
- Tens: \(8 \times 10 = 80\)
- Ones: \(2 \times 1 = 2\)
- Expanded form: \(5000 + 400 + 80 + 2\)

3. Repeat for Each Number:
- Apply the same process to all the numbers listed in the table.

Solution:

#### Number: 5482
- Thousands: 5
- Hundreds: 4
- Tens: 8
- Ones: 2
- Expanded Form: \(5000 + 400 + 80 + 2\)

#### Number: 3495
- Thousands: 3
- Hundreds: 4
- Tens: 9
- Ones: 5
- Expanded Form: \(3000 + 400 + 90 + 5\)

#### Number: 8956
- Thousands: 8
- Hundreds: 9
- Tens: 5
- Ones: 6
- Expanded Form: \(8000 + 900 + 50 + 6\)

#### Number: 4390
- Thousands: 4
- Hundreds: 3
- Tens: 9
- Ones: 0
- Expanded Form: \(4000 + 300 + 90 + 0\)

#### Number: 7812
- Thousands: 7
- Hundreds: 8
- Tens: 1
- Ones: 2
- Expanded Form: \(7000 + 800 + 10 + 2\)

#### Number: 3871
- Thousands: 3
- Hundreds: 8
- Tens: 7
- Ones: 1
- Expanded Form: \(3000 + 800 + 70 + 1\)

Final Answer:

\[
\boxed{
\begin{array}{|c|c|c|}
\hline
\text{Number} & \text{Thousands, Hundreds, Tens, and Ones} & \text{Expanded Form} \\
\hline
5482 & 5 \quad 4 \quad 8 \quad 2 & 5000 + 400 + 80 + 2 \\
\hline
3495 & 3 \quad 4 \quad 9 \quad 5 & 3000 + 400 + 90 + 5 \\
\hline
8956 & 8 \quad 9 \quad 5 \quad 6 & 8000 + 900 + 50 + 6 \\
\hline
4390 & 4 \quad 3 \quad 9 \quad 0 & 4000 + 300 + 90 + 0 \\
\hline
7812 & 7 \quad 8 \quad 1 \quad 2 & 7000 + 800 + 10 + 2 \\
\hline
3871 & 3 \quad 8 \quad 7 \quad 1 & 3000 + 800 + 70 + 1 \\
\hline
\end{array}
}
\]