Numbers to One Million - Worksheet Digital - Free Printable
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Step-by-step solution for: Numbers to One Million - Worksheet Digital
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Show Answer Key & Explanations
Step-by-step solution for: Numbers to One Million - Worksheet Digital
Let's solve the problem step by step.
Write each number in expanded form, which means breaking down the number into the sum of the values of its digits based on their place value (hundred thousands, ten thousands, thousands, hundreds, tens, ones).
---
We'll go through each number one by one:
---
1. 567,135
- 500,000 (hundred thousands)
- 60,000 (ten thousands)
- 7,000 (thousands)
- 100 (hundreds)
- 30 (tens)
- 5 (ones)
→ 500,000 + 60,000 + 7,000 + 100 + 30 + 5
2. 382,932
- 300,000
- 80,000
- 2,000
- 900
- 30
- 2
→ 300,000 + 80,000 + 2,000 + 900 + 30 + 2
3. 178,340
- 100,000
- 70,000
- 8,000
- 300
- 40
- 0
→ 100,000 + 70,000 + 8,000 + 300 + 40 + 0
4. 645,301
- 600,000
- 40,000
- 5,000
- 300
- 0
- 1
→ 600,000 + 40,000 + 5,000 + 300 + 0 + 1
5. 874,350
- 800,000
- 70,000
- 4,000
- 300
- 50
- 0
→ 800,000 + 70,000 + 4,000 + 300 + 50 + 0
6. 920,678
- 900,000
- 20,000
- 0
- 600
- 70
- 8
→ 900,000 + 20,000 + 0 + 600 + 70 + 8
7. 145,046
- 100,000
- 40,000
- 5,000
- 0
- 40
- 6
→ 100,000 + 40,000 + 5,000 + 0 + 40 + 6
8. 605,441
- 600,000
- 0
- 5,000
- 400
- 40
- 1
→ 600,000 + 0 + 5,000 + 400 + 40 + 1
9. 230,786
- 200,000
- 30,000
- 0
- 700
- 80
- 6
→ 200,000 + 30,000 + 0 + 700 + 80 + 6
10. 611,804
- 600,000
- 10,000
- 1,000
- 800
- 0
- 4
→ 600,000 + 10,000 + 1,000 + 800 + 0 + 4
11. 335,094
- 300,000
- 30,000
- 5,000
- 0
- 90
- 4
→ 300,000 + 30,000 + 5,000 + 0 + 90 + 4
12. 402,345
- 400,000
- 0
- 2,000
- 300
- 40
- 5
→ 400,000 + 0 + 2,000 + 300 + 40 + 5
13. 130,764
- 100,000
- 30,000
- 0
- 700
- 60
- 4
→ 100,000 + 30,000 + 0 + 700 + 60 + 4
14. 226,670
- 200,000
- 20,000
- 6,000
- 600
- 70
- 0
→ 200,000 + 20,000 + 6,000 + 600 + 70 + 0
15. 154,093
- 100,000
- 50,000
- 4,000
- 0
- 90
- 3
→ 100,000 + 50,000 + 4,000 + 0 + 90 + 3
---
| Number | Expanded Form |
|------------|----------------|
| 567,135 | 500,000 + 60,000 + 7,000 + 100 + 30 + 5 |
| 382,932 | 300,000 + 80,000 + 2,000 + 900 + 30 + 2 |
| 178,340 | 100,000 + 70,000 + 8,000 + 300 + 40 + 0 |
| 645,301 | 600,000 + 40,000 + 5,000 + 300 + 0 + 1 |
| 874,350 | 800,000 + 70,000 + 4,000 + 300 + 50 + 0 |
| 920,678 | 900,000 + 20,000 + 0 + 600 + 70 + 8 |
| 145,046 | 100,000 + 40,000 + 5,000 + 0 + 40 + 6 |
| 605,441 | 600,000 + 0 + 5,000 + 400 + 40 + 1 |
| 230,786 | 200,000 + 30,000 + 0 + 700 + 80 + 6 |
| 611,804 | 600,000 + 10,000 + 1,000 + 800 + 0 + 4 |
| 335,094 | 300,000 + 30,000 + 5,000 + 0 + 90 + 4 |
| 402,345 | 400,000 + 0 + 2,000 + 300 + 40 + 5 |
| 130,764 | 100,000 + 30,000 + 0 + 700 + 60 + 4 |
| 226,670 | 200,000 + 20,000 + 6,000 + 600 + 70 + 0 |
| 154,093 | 100,000 + 50,000 + 4,000 + 0 + 90 + 3 |
---
- Each digit is multiplied by its place value:
- Hundred Thousands = ×100,000
- Ten Thousands = ×10,000
- Thousands = ×1,000
- Hundreds = ×100
- Tens = ×10
- Ones = ×1
- Then, we add all those values together.
For example:
382,932
→ 3×100,000 = 300,000
→ 8×10,000 = 80,000
→ 2×1,000 = 2,000
→ 9×100 = 900
→ 3×10 = 30
→ 2×1 = 2
Sum: 300,000 + 80,000 + 2,000 + 900 + 30 + 2
This method helps understand how numbers are built using place value.
✔ All answers are now complete and ready to be filled in the worksheet!
Task:
Write each number in expanded form, which means breaking down the number into the sum of the values of its digits based on their place value (hundred thousands, ten thousands, thousands, hundreds, tens, ones).
---
We'll go through each number one by one:
---
1. 567,135
- 500,000 (hundred thousands)
- 60,000 (ten thousands)
- 7,000 (thousands)
- 100 (hundreds)
- 30 (tens)
- 5 (ones)
→ 500,000 + 60,000 + 7,000 + 100 + 30 + 5
2. 382,932
- 300,000
- 80,000
- 2,000
- 900
- 30
- 2
→ 300,000 + 80,000 + 2,000 + 900 + 30 + 2
3. 178,340
- 100,000
- 70,000
- 8,000
- 300
- 40
- 0
→ 100,000 + 70,000 + 8,000 + 300 + 40 + 0
4. 645,301
- 600,000
- 40,000
- 5,000
- 300
- 0
- 1
→ 600,000 + 40,000 + 5,000 + 300 + 0 + 1
5. 874,350
- 800,000
- 70,000
- 4,000
- 300
- 50
- 0
→ 800,000 + 70,000 + 4,000 + 300 + 50 + 0
6. 920,678
- 900,000
- 20,000
- 0
- 600
- 70
- 8
→ 900,000 + 20,000 + 0 + 600 + 70 + 8
7. 145,046
- 100,000
- 40,000
- 5,000
- 0
- 40
- 6
→ 100,000 + 40,000 + 5,000 + 0 + 40 + 6
8. 605,441
- 600,000
- 0
- 5,000
- 400
- 40
- 1
→ 600,000 + 0 + 5,000 + 400 + 40 + 1
9. 230,786
- 200,000
- 30,000
- 0
- 700
- 80
- 6
→ 200,000 + 30,000 + 0 + 700 + 80 + 6
10. 611,804
- 600,000
- 10,000
- 1,000
- 800
- 0
- 4
→ 600,000 + 10,000 + 1,000 + 800 + 0 + 4
11. 335,094
- 300,000
- 30,000
- 5,000
- 0
- 90
- 4
→ 300,000 + 30,000 + 5,000 + 0 + 90 + 4
12. 402,345
- 400,000
- 0
- 2,000
- 300
- 40
- 5
→ 400,000 + 0 + 2,000 + 300 + 40 + 5
13. 130,764
- 100,000
- 30,000
- 0
- 700
- 60
- 4
→ 100,000 + 30,000 + 0 + 700 + 60 + 4
14. 226,670
- 200,000
- 20,000
- 6,000
- 600
- 70
- 0
→ 200,000 + 20,000 + 6,000 + 600 + 70 + 0
15. 154,093
- 100,000
- 50,000
- 4,000
- 0
- 90
- 3
→ 100,000 + 50,000 + 4,000 + 0 + 90 + 3
---
✔ Final Answers (Expanded Form):
| Number | Expanded Form |
|------------|----------------|
| 567,135 | 500,000 + 60,000 + 7,000 + 100 + 30 + 5 |
| 382,932 | 300,000 + 80,000 + 2,000 + 900 + 30 + 2 |
| 178,340 | 100,000 + 70,000 + 8,000 + 300 + 40 + 0 |
| 645,301 | 600,000 + 40,000 + 5,000 + 300 + 0 + 1 |
| 874,350 | 800,000 + 70,000 + 4,000 + 300 + 50 + 0 |
| 920,678 | 900,000 + 20,000 + 0 + 600 + 70 + 8 |
| 145,046 | 100,000 + 40,000 + 5,000 + 0 + 40 + 6 |
| 605,441 | 600,000 + 0 + 5,000 + 400 + 40 + 1 |
| 230,786 | 200,000 + 30,000 + 0 + 700 + 80 + 6 |
| 611,804 | 600,000 + 10,000 + 1,000 + 800 + 0 + 4 |
| 335,094 | 300,000 + 30,000 + 5,000 + 0 + 90 + 4 |
| 402,345 | 400,000 + 0 + 2,000 + 300 + 40 + 5 |
| 130,764 | 100,000 + 30,000 + 0 + 700 + 60 + 4 |
| 226,670 | 200,000 + 20,000 + 6,000 + 600 + 70 + 0 |
| 154,093 | 100,000 + 50,000 + 4,000 + 0 + 90 + 3 |
---
🔍 Explanation:
- Each digit is multiplied by its place value:
- Hundred Thousands = ×100,000
- Ten Thousands = ×10,000
- Thousands = ×1,000
- Hundreds = ×100
- Tens = ×10
- Ones = ×1
- Then, we add all those values together.
For example:
382,932
→ 3×100,000 = 300,000
→ 8×10,000 = 80,000
→ 2×1,000 = 2,000
→ 9×100 = 900
→ 3×10 = 30
→ 2×1 = 2
Sum: 300,000 + 80,000 + 2,000 + 900 + 30 + 2
This method helps understand how numbers are built using place value.
✔ All answers are now complete and ready to be filled in the worksheet!
Parent Tip: Review the logic above to help your child master the concept of place value worksheet to one million.