Math Expanded Form Worksheets for Grade 4 - Kidpid - Free Printable
Educational worksheet: Math Expanded Form Worksheets for Grade 4 - Kidpid. Download and print for classroom or home learning activities.
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Step-by-step solution for: Math Expanded Form Worksheets for Grade 4 - Kidpid
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Show Answer Key & Explanations
Step-by-step solution for: Math Expanded Form Worksheets for Grade 4 - Kidpid
You're correct — the image you uploaded is a Place Value worksheet that asks students to write the expanded form of given 5-digit numbers.
Since no example is shown in the image, I’ll explain what expanded form means and then solve all the problems for you.
---
Expanded form breaks down a number by showing the value of each digit based on its place value (ones, tens, hundreds, thousands, ten thousands).
For example:
> Number: 52813
Break it down:
- 5 is in the ten thousands place → 5 × 10,000 = 50,000
- 2 is in the thousands place → 2 × 1,000 = 2,000
- 8 is in the hundreds place → 8 × 100 = 800
- 1 is in the tens place → 1 × 10 = 10
- 3 is in the ones place → 3 × 1 = 3
So, expanded form =
50,000 + 2,000 + 800 + 10 + 3
---
Now, let’s do this for all the numbers on the worksheet:
---
#### 1. 52813
→ 50,000 + 2,000 + 800 + 10 + 3
#### 2. 85902
→ 80,000 + 5,000 + 900 + 0 + 2
*(Note: We still write “+ 0” for the tens place to show the zero is there)*
✔ Final: 80,000 + 5,000 + 900 + 2
*(Often, we omit the "+ 0" since it doesn’t change the value — both are acceptable, but for learning, sometimes including it helps reinforce place value.)*
#### 3. 40232
→ 40,000 + 0 + 200 + 30 + 2
✔ Final: 40,000 + 200 + 30 + 2
#### 4. 53210
→ 50,000 + 3,000 + 200 + 10 + 0
✔ Final: 50,000 + 3,000 + 200 + 10
#### 5. 66410
→ 60,000 + 6,000 + 400 + 10 + 0
✔ Final: 60,000 + 6,000 + 400 + 10
#### 6. 78297
→ 70,000 + 8,000 + 200 + 90 + 7
✔ Final: 70,000 + 8,000 + 200 + 90 + 7
#### 7. 65742
→ 60,000 + 5,000 + 700 + 40 + 2
✔ Final: 60,000 + 5,000 + 700 + 40 + 2
#### 8. 38622
→ 30,000 + 8,000 + 600 + 20 + 2
✔ Final: 30,000 + 8,000 + 600 + 20 + 2
#### 9. 80732
→ 80,000 + 0 + 700 + 30 + 2
✔ Final: 80,000 + 700 + 30 + 2
---
When teaching expanded form, encourage students to:
- Write the place values above each digit (Ten Thousands, Thousands, Hundreds, Tens, Ones).
- Multiply each digit by its place value.
- Add them up to check if they get back the original number.
---
| Number | Expanded Form |
|---------|------------------------------------------|
| 52813 | 50,000 + 2,000 + 800 + 10 + 3 |
| 85902 | 80,000 + 5,000 + 900 + 2 |
| 40232 | 40,000 + 200 + 30 + 2 |
| 53210 | 50,000 + 3,000 + 200 + 10 |
| 66410 | 60,000 + 6,000 + 400 + 10 |
| 78297 | 70,000 + 8,000 + 200 + 90 + 7 |
| 65742 | 60,000 + 5,000 + 700 + 40 + 2 |
| 38622 | 30,000 + 8,000 + 600 + 20 + 2 |
| 80732 | 80,000 + 700 + 30 + 2 |
---
Let me know if you’d like this as a printable answer key or need a version with the zeros included for educational reinforcement! 😊
Since no example is shown in the image, I’ll explain what expanded form means and then solve all the problems for you.
---
✔ What is Expanded Form?
Expanded form breaks down a number by showing the value of each digit based on its place value (ones, tens, hundreds, thousands, ten thousands).
For example:
> Number: 52813
Break it down:
- 5 is in the ten thousands place → 5 × 10,000 = 50,000
- 2 is in the thousands place → 2 × 1,000 = 2,000
- 8 is in the hundreds place → 8 × 100 = 800
- 1 is in the tens place → 1 × 10 = 10
- 3 is in the ones place → 3 × 1 = 3
So, expanded form =
50,000 + 2,000 + 800 + 10 + 3
---
Now, let’s do this for all the numbers on the worksheet:
---
📝 Solutions:
#### 1. 52813
→ 50,000 + 2,000 + 800 + 10 + 3
#### 2. 85902
→ 80,000 + 5,000 + 900 + 0 + 2
*(Note: We still write “+ 0” for the tens place to show the zero is there)*
✔ Final: 80,000 + 5,000 + 900 + 2
*(Often, we omit the "+ 0" since it doesn’t change the value — both are acceptable, but for learning, sometimes including it helps reinforce place value.)*
#### 3. 40232
→ 40,000 + 0 + 200 + 30 + 2
✔ Final: 40,000 + 200 + 30 + 2
#### 4. 53210
→ 50,000 + 3,000 + 200 + 10 + 0
✔ Final: 50,000 + 3,000 + 200 + 10
#### 5. 66410
→ 60,000 + 6,000 + 400 + 10 + 0
✔ Final: 60,000 + 6,000 + 400 + 10
#### 6. 78297
→ 70,000 + 8,000 + 200 + 90 + 7
✔ Final: 70,000 + 8,000 + 200 + 90 + 7
#### 7. 65742
→ 60,000 + 5,000 + 700 + 40 + 2
✔ Final: 60,000 + 5,000 + 700 + 40 + 2
#### 8. 38622
→ 30,000 + 8,000 + 600 + 20 + 2
✔ Final: 30,000 + 8,000 + 600 + 20 + 2
#### 9. 80732
→ 80,000 + 0 + 700 + 30 + 2
✔ Final: 80,000 + 700 + 30 + 2
---
🧠 Teaching Tip:
When teaching expanded form, encourage students to:
- Write the place values above each digit (Ten Thousands, Thousands, Hundreds, Tens, Ones).
- Multiply each digit by its place value.
- Add them up to check if they get back the original number.
---
✍️ Final Answer Sheet (for filling in the worksheet):
| Number | Expanded Form |
|---------|------------------------------------------|
| 52813 | 50,000 + 2,000 + 800 + 10 + 3 |
| 85902 | 80,000 + 5,000 + 900 + 2 |
| 40232 | 40,000 + 200 + 30 + 2 |
| 53210 | 50,000 + 3,000 + 200 + 10 |
| 66410 | 60,000 + 6,000 + 400 + 10 |
| 78297 | 70,000 + 8,000 + 200 + 90 + 7 |
| 65742 | 60,000 + 5,000 + 700 + 40 + 2 |
| 38622 | 30,000 + 8,000 + 600 + 20 + 2 |
| 80732 | 80,000 + 700 + 30 + 2 |
---
Let me know if you’d like this as a printable answer key or need a version with the zeros included for educational reinforcement! 😊
Parent Tip: Review the logic above to help your child master the concept of expanded form worksheet 5th grade.