Expanded form of numbers worksheet for Grade 3 math students.

Problem Overview:

The task is to write the expanded form of given numbers. The expanded form breaks down a number into its place values (Thousands, Hundreds, Tens, and Units). The example provided is:

- 4234 = 4000 + 200 + 30 + 4

We need to apply the same method to the following numbers:
1. 3134
2. 3342
3. 3650
4. 3958
5. 4266
6. 4574

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Solution Approach:

To write the expanded form of a number:
1. Identify the digit in each place value (Thousands, Hundreds, Tens, Units).
2. Multiply each digit by its corresponding place value.
3. Sum these values to represent the number in expanded form.

#### Place Value Breakdown:
- Thousands: Digit × 1000
- Hundreds: Digit × 100
- Tens: Digit × 10
- Units: Digit × 1

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Step-by-Step Solution:

#### 1. 3134
- Thousands: \(3 \times 1000 = 3000\)
- Hundreds: \(1 \times 100 = 100\)
- Tens: \(3 \times 10 = 30\)
- Units: \(4 \times 1 = 4\)

Expanded form: 3000 + 100 + 30 + 4

#### 2. 3342
- Thousands: \(3 \times 1000 = 3000\)
- Hundreds: \(3 \times 100 = 300\)
- Tens: \(4 \times 10 = 40\)
- Units: \(2 \times 1 = 2\)

Expanded form: 3000 + 300 + 40 + 2

#### 3. 3650
- Thousands: \(3 \times 1000 = 3000\)
- Hundreds: \(6 \times 100 = 600\)
- Tens: \(5 \times 10 = 50\)
- Units: \(0 \times 1 = 0\)

Expanded form: 3000 + 600 + 50 + 0

#### 4. 3958
- Thousands: \(3 \times 1000 = 3000\)
- Hundreds: \(9 \times 100 = 900\)
- Tens: \(5 \times 10 = 50\)
- Units: \(8 \times 1 = 8\)

Expanded form: 3000 + 900 + 50 + 8

#### 5. 4266
- Thousands: \(4 \times 1000 = 4000\)
- Hundreds: \(2 \times 100 = 200\)
- Tens: \(6 \times 10 = 60\)
- Units: \(6 \times 1 = 6\)

Expanded form: 4000 + 200 + 60 + 6

#### 6. 4574
- Thousands: \(4 \times 1000 = 4000\)
- Hundreds: \(5 \times 100 = 500\)
- Tens: \(7 \times 10 = 70\)
- Units: \(4 \times 1 = 4\)

Expanded form: 4000 + 500 + 70 + 4

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Final Answers:

1. 3134: \(3000 + 100 + 30 + 4\)
2. 3342: \(3000 + 300 + 40 + 2\)
3. 3650: \(3000 + 600 + 50 + 0\)
4. 3958: \(3000 + 900 + 50 + 8\)
5. 4266: \(4000 + 200 + 60 + 6\)
6. 4574: \(4000 + 500 + 70 + 4\)

\[
\boxed{
\begin{aligned}
1. & \ 3000 + 100 + 30 + 4 \\
2. & \ 3000 + 300 + 40 + 2 \\
3. & \ 3000 + 600 + 50 + 0 \\
4. & \ 3000 + 900 + 50 + 8 \\
5. & \ 4000 + 200 + 60 + 6 \\
6. & \ 4000 + 500 + 70 + 4
\end{aligned}
}
\]