Place Value Worksheet - Expand the Numbers

The task involves writing the expanded form of the given numbers. The expanded form breaks down a number by showing the value of each digit according to its place value (thousands, hundreds, tens, and ones).

Place Value Recap:

- Thousands place: Represents how many thousands.
- Hundreds place: Represents how many hundreds.
- Tens place: Represents how many tens.
- Ones place: Represents how many ones.

Solution:

#### 1. 8357
- Thousands: \(8 \times 1000 = 8000\)
- Hundreds: \(3 \times 100 = 300\)
- Tens: \(5 \times 10 = 50\)
- Ones: \(7 \times 1 = 7\)

Expanded form: \(8000 + 300 + 50 + 7\)

#### 2. 4681
- Thousands: \(4 \times 1000 = 4000\)
- Hundreds: \(6 \times 100 = 600\)
- Tens: \(8 \times 10 = 80\)
- Ones: \(1 \times 1 = 1\)

Expanded form: \(4000 + 600 + 80 + 1\)

#### 3. 1348
- Thousands: \(1 \times 1000 = 1000\)
- Hundreds: \(3 \times 100 = 300\)
- Tens: \(4 \times 10 = 40\)
- Ones: \(8 \times 1 = 8\)

Expanded form: \(1000 + 300 + 40 + 8\)

#### 4. 4621
- Thousands: \(4 \times 1000 = 4000\)
- Hundreds: \(6 \times 100 = 600\)
- Tens: \(2 \times 10 = 20\)
- Ones: \(1 \times 1 = 1\)

Expanded form: \(4000 + 600 + 20 + 1\)

#### 5. 8450
- Thousands: \(8 \times 1000 = 8000\)
- Hundreds: \(4 \times 100 = 400\)
- Tens: \(5 \times 10 = 50\)
- Ones: \(0 \times 1 = 0\)

Expanded form: \(8000 + 400 + 50 + 0\)

#### 6. 4713
- Thousands: \(4 \times 1000 = 4000\)
- Hundreds: \(7 \times 100 = 700\)
- Tens: \(1 \times 10 = 10\)
- Ones: \(3 \times 1 = 3\)

Expanded form: \(4000 + 700 + 10 + 3\)

#### 7. 6491
- Thousands: \(6 \times 1000 = 6000\)
- Hundreds: \(4 \times 100 = 400\)
- Tens: \(9 \times 10 = 90\)
- Ones: \(1 \times 1 = 1\)

Expanded form: \(6000 + 400 + 90 + 1\)

#### 8. 3486
- Thousands: \(3 \times 1000 = 3000\)
- Hundreds: \(4 \times 100 = 400\)
- Tens: \(8 \times 10 = 80\)
- Ones: \(6 \times 1 = 6\)

Expanded form: \(3000 + 400 + 80 + 6\)

#### 9. 1585
- Thousands: \(1 \times 1000 = 1000\)
- Hundreds: \(5 \times 100 = 500\)
- Tens: \(8 \times 10 = 80\)
- Ones: \(5 \times 1 = 5\)

Expanded form: \(1000 + 500 + 80 + 5\)

Final Answers:

\[
\begin{aligned}
&8357: & 8000 + 300 + 50 + 7 \\
&4681: & 4000 + 600 + 80 + 1 \\
&1348: & 1000 + 300 + 40 + 8 \\
&4621: & 4000 + 600 + 20 + 1 \\
&8450: & 8000 + 400 + 50 + 0 \\
&4713: & 4000 + 700 + 10 + 3 \\
&6491: & 6000 + 400 + 90 + 1 \\
&3486: & 3000 + 400 + 80 + 6 \\
&1585: & 1000 + 500 + 80 + 5 \\
\end{aligned}
\]

\boxed{
\begin{aligned}
&8357: 8000 + 300 + 50 + 7 \\
&4681: 4000 + 600 + 80 + 1 \\
&1348: 1000 + 300 + 40 + 8 \\
&4621: 4000 + 600 + 20 + 1 \\
&8450: 8000 + 400 + 50 + 0 \\
&4713: 4000 + 700 + 10 + 3 \\
&6491: 6000 + 400 + 90 + 1 \\
&3486: 3000 + 400 + 80 + 6 \\
&1585: 1000 + 500 + 80 + 5 \\
\end{aligned}
}