Expanded Form of Numbers Worksheet | Grade1to6.com - Free Printable
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Step-by-step solution for: Expanded Form of Numbers Worksheet | Grade1to6.com
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Show Answer Key & Explanations
Step-by-step solution for: Expanded Form of Numbers Worksheet | Grade1to6.com
Let's solve the problem step by step.
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Write the expanded form of each number by breaking it down into Thousands, Hundreds, Tens, and Units.
We are given an example:
- Number: 4234
- Expanded form: 4000 + 200 + 30 + 4
- Place values:
- Thousands: 4 → 4 × 1000 = 4000
- Hundreds: 2 → 2 × 100 = 200
- Tens: 3 → 3 × 10 = 30
- Units: 4 → 4 × 1 = 4
Now, let’s apply this to each number.
---
Break down:
- Thousands: 3 → 3 × 1000 = 3000
- Hundreds: 1 → 1 × 100 = 100
- Tens: 3 → 3 × 10 = 30
- Units: 4 → 4 × 1 = 4
| Number | Thousands | Hundreds | Tens | Units |
|--------|-----------|----------|------|-------|
| 3134 | 3000 | 100 | 30 | 4 |
---
Break down:
- Thousands: 3 → 3 × 1000 = 3000
- Hundreds: 3 → 3 × 100 = 300
- Tens: 4 → 4 × 10 = 40
- Units: 2 → 2 × 1 = 2
| Number | Thousands | Hundreds | Tens | Units |
|--------|-----------|----------|------|-------|
| 3342 | 3000 | 300 | 40 | 2 |
---
Break down:
- Thousands: 3 → 3 × 1000 = 3000
- Hundreds: 6 → 6 × 100 = 600
- Tens: 5 → 5 × 10 = 50
- Units: 0 → 0 × 1 = 0
| Number | Thousands | Hundreds | Tens | Units |
|--------|-----------|----------|------|-------|
| 3650 | 3000 | 600 | 50 | 0 |
---
Break down:
- Thousands: 3 → 3 × 1000 = 3000
- Hundreds: 9 → 9 × 100 = 900
- Tens: 5 → 5 × 10 = 50
- Units: 8 → 8 × 1 = 8
| Number | Thousands | Hundreds | Tens | Units |
|--------|-----------|----------|------|-------|
| 3958 | 3000 | 900 | 50 | 8 |
---
Break down:
- Thousands: 4 → 4 × 1000 = 4000
- Hundreds: 2 → 2 × 100 = 200
- Tens: 6 → 6 × 10 = 60
- Units: 6 → 6 × 1 = 6
| Number | Thousands | Hundreds | Tens | Units |
|--------|-----------|----------|------|-------|
| 4266 | 4000 | 200 | 60 | 6 |
---
Break down:
- Thousands: 4 → 4 × 1000 = 4000
- Hundreds: 5 → 5 × 100 = 500
- Tens: 7 → 7 × 10 = 70
- Units: 4 → 4 × 1 = 4
| Number | Thousands | Hundreds | Tens | Units |
|--------|-----------|----------|------|-------|
| 4574 | 4000 | 500 | 70 | 4 |
---
| Number | Thousands | Hundreds | Tens | Units |
|--------|-----------|----------|------|-------|
| 3134 | 3000 | 100 | 30 | 4 |
| 3342 | 3000 | 300 | 40 | 2 |
| 3650 | 3000 | 600 | 50 | 0 |
| 3958 | 3000 | 900 | 50 | 8 |
| 4266 | 4000 | 200 | 60 | 6 |
| 4574 | 4000 | 500 | 70 | 4 |
---
To write the expanded form, we identify the digit in each place value (thousands, hundreds, tens, units), multiply it by the place value, and then add them together.
For example:
> 3134 = 3000 + 100 + 30 + 4
This helps understand how numbers are built using place values.
✔ You can now fill these answers into the worksheet!
---
🔷 Objective:
Write the expanded form of each number by breaking it down into Thousands, Hundreds, Tens, and Units.
We are given an example:
- Number: 4234
- Expanded form: 4000 + 200 + 30 + 4
- Place values:
- Thousands: 4 → 4 × 1000 = 4000
- Hundreds: 2 → 2 × 100 = 200
- Tens: 3 → 3 × 10 = 30
- Units: 4 → 4 × 1 = 4
Now, let’s apply this to each number.
---
✔ 1. 3134
Break down:
- Thousands: 3 → 3 × 1000 = 3000
- Hundreds: 1 → 1 × 100 = 100
- Tens: 3 → 3 × 10 = 30
- Units: 4 → 4 × 1 = 4
| Number | Thousands | Hundreds | Tens | Units |
|--------|-----------|----------|------|-------|
| 3134 | 3000 | 100 | 30 | 4 |
---
✔ 2. 3342
Break down:
- Thousands: 3 → 3 × 1000 = 3000
- Hundreds: 3 → 3 × 100 = 300
- Tens: 4 → 4 × 10 = 40
- Units: 2 → 2 × 1 = 2
| Number | Thousands | Hundreds | Tens | Units |
|--------|-----------|----------|------|-------|
| 3342 | 3000 | 300 | 40 | 2 |
---
✔ 3. 3650
Break down:
- Thousands: 3 → 3 × 1000 = 3000
- Hundreds: 6 → 6 × 100 = 600
- Tens: 5 → 5 × 10 = 50
- Units: 0 → 0 × 1 = 0
| Number | Thousands | Hundreds | Tens | Units |
|--------|-----------|----------|------|-------|
| 3650 | 3000 | 600 | 50 | 0 |
---
✔ 4. 3958
Break down:
- Thousands: 3 → 3 × 1000 = 3000
- Hundreds: 9 → 9 × 100 = 900
- Tens: 5 → 5 × 10 = 50
- Units: 8 → 8 × 1 = 8
| Number | Thousands | Hundreds | Tens | Units |
|--------|-----------|----------|------|-------|
| 3958 | 3000 | 900 | 50 | 8 |
---
✔ 5. 4266
Break down:
- Thousands: 4 → 4 × 1000 = 4000
- Hundreds: 2 → 2 × 100 = 200
- Tens: 6 → 6 × 10 = 60
- Units: 6 → 6 × 1 = 6
| Number | Thousands | Hundreds | Tens | Units |
|--------|-----------|----------|------|-------|
| 4266 | 4000 | 200 | 60 | 6 |
---
✔ 6. 4574
Break down:
- Thousands: 4 → 4 × 1000 = 4000
- Hundreds: 5 → 5 × 100 = 500
- Tens: 7 → 7 × 10 = 70
- Units: 4 → 4 × 1 = 4
| Number | Thousands | Hundreds | Tens | Units |
|--------|-----------|----------|------|-------|
| 4574 | 4000 | 500 | 70 | 4 |
---
✔ Final Answer Table:
| Number | Thousands | Hundreds | Tens | Units |
|--------|-----------|----------|------|-------|
| 3134 | 3000 | 100 | 30 | 4 |
| 3342 | 3000 | 300 | 40 | 2 |
| 3650 | 3000 | 600 | 50 | 0 |
| 3958 | 3000 | 900 | 50 | 8 |
| 4266 | 4000 | 200 | 60 | 6 |
| 4574 | 4000 | 500 | 70 | 4 |
---
📌 Explanation:
To write the expanded form, we identify the digit in each place value (thousands, hundreds, tens, units), multiply it by the place value, and then add them together.
For example:
> 3134 = 3000 + 100 + 30 + 4
This helps understand how numbers are built using place values.
✔ You can now fill these answers into the worksheet!
Parent Tip: Review the logic above to help your child master the concept of expanded form worksheet for 3rd grade.