4th Grade Mathematics Worksheets: FREE & Printable - Effortless - Free Printable

Let's solve the problem step by step.

🔍 Understanding the Task

We are asked to write the expanded form of each number. The expanded form breaks down a number into the sum of the values of each digit based on their place value (ones, tens, hundreds, thousands, ten thousands, etc.).

For example:
- 21214 = 20000 (2 × 10,000) + 1000 (1 × 1,000) + 200 (2 × 100) + 10 (1 × 10) + 4 (4 × 1)

Now, let’s apply this method to each number.

---

✔ Solutions

#### 1. 57323
Break it down:
- 5 × 10,000 = 50,000
- 7 × 1,000 = 7,000
- 3 × 100 = 300
- 2 × 10 = 20
- 3 × 1 = 3

Expanded form:
50000 + 7000 + 300 + 20 + 3

---

#### 2. 67529
- 6 × 10,000 = 60,000
- 7 × 1,000 = 7,000
- 5 × 100 = 500
- 2 × 10 = 20
- 9 × 1 = 9

Expanded form:
60000 + 7000 + 500 + 20 + 9

---

#### 3. 72349
- 7 × 10,000 = 70,000
- 2 × 1,000 = 2,000
- 3 × 100 = 300
- 4 × 10 = 40
- 9 × 1 = 9

Expanded form:
70000 + 2000 + 300 + 40 + 9

---

#### 4. 98324
- 9 × 10,000 = 90,000
- 8 × 1,000 = 8,000
- 3 × 100 = 300
- 2 × 10 = 20
- 4 × 1 = 4

Expanded form:
90000 + 8000 + 300 + 20 + 4

---

#### 5. 23802
- 2 × 10,000 = 20,000
- 3 × 1,000 = 3,000
- 8 × 100 = 800
- 0 × 10 = 0
- 2 × 1 = 2

Note: We still include the zero for completeness, but in expanded form, we typically skip zeros unless required. However, since the example includes all terms, we'll include it.

Expanded form:
20000 + 3000 + 800 + 0 + 2
But more cleanly:
20000 + 3000 + 800 + 2

---

#### 6. 42992
- 4 × 10,000 = 40,000
- 2 × 1,000 = 2,000
- 9 × 100 = 900
- 9 × 10 = 90
- 2 × 1 = 2

Expanded form:
40000 + 2000 + 900 + 90 + 2

---

#### 7. 52392
- 5 × 10,000 = 50,000
- 2 × 1,000 = 2,000
- 3 × 100 = 300
- 9 × 10 = 90
- 2 × 1 = 2

Expanded form:
50000 + 2000 + 300 + 90 + 2

---

#### 8. 86490
- 8 × 10,000 = 80,000
- 6 × 1,000 = 6,000
- 4 × 100 = 400
- 9 × 10 = 90
- 0 × 1 = 0

Again, we can omit the zero term.

Expanded form:
80000 + 6000 + 400 + 90

---

✔ Final Answer Table:

| Number | Expanded Form |
|--------|----------------|
| 21214 | 20000 + 1000 + 200 + 10 + 4 |
| 57323 | 50000 + 7000 + 300 + 20 + 3 |
| 67529 | 60000 + 7000 + 500 + 20 + 9 |
| 72349 | 70000 + 2000 + 300 + 40 + 9 |
| 98324 | 90000 + 8000 + 300 + 20 + 4 |
| 23802 | 20000 + 3000 + 800 + 2 |
| 42992 | 40000 + 2000 + 900 + 90 + 2 |
| 52392 | 50000 + 2000 + 300 + 90 + 2 |
| 86490 | 80000 + 6000 + 400 + 90 |

---

📝 Explanation:

Each digit is multiplied by its place value:
- Ten Thousands: ×10,000
- Thousands: ×1,000
- Hundreds: ×100
- Tens: ×10
- Ones: ×1

Then add them together in expanded form.

✔ This helps students understand how numbers are built from individual digits and their positions.

Let me know if you'd like this as a printable worksheet or with visual aids!