This worksheet helps students master place value by converting numbers between standard, expanded, and written formats.
Math worksheet for practicing standard, expanded, and written forms of numbers up to 99,999.
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Show Answer Key & Explanations
Step-by-step solution for: Converting Between Standard, Expanded and Written Forms (5-Digit ...
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Show Answer Key & Explanations
Step-by-step solution for: Converting Between Standard, Expanded and Written Forms (5-Digit ...
Let's solve each row of the worksheet step by step, filling in the Standard, Expanded, and Written forms for each number.
---
- Standard: 50,722
- Expanded: Break down the digits:
- 50,000 + 700 + 20 + 2
→ So, 50,000 + 700 + 20 + 2
- Written: Fifty thousand seven hundred twenty-two
✔ Completed Row 1:
| Standard | Expanded | Written |
|---------|----------|--------|
| 50,722 | 50,000 + 700 + 20 + 2 | fifty thousand seven hundred twenty-two |
---
- Written: seventy-three thousand seven hundred ninety-two
- Convert to Standard: 73,792
- Expanded: Break it down:
- 70,000 + 3,000 + 700 + 90 + 2 = 70,000 + 3,000 + 700 + 90 + 2
✔ Completed Row 2:
| Standard | Expanded | Written |
|---------|----------|--------|
| 73,792 | 70,000 + 3,000 + 700 + 90 + 2 | seventy-three thousand seven hundred ninety-two |
---
- Expanded: 30,000 + 90
- Add them: 30,000 + 90 = 30,090
- Standard: 30,090
- Written: Thirty thousand ninety
✔ Completed Row 3:
| Standard | Expanded | Written |
|---------|----------|--------|
| 30,090 | 30,000 + 90 | thirty thousand ninety |
---
- Expanded: 40,000 + 7,000 + 400 + 40 + 9
- Add: 40,000 + 7,000 = 47,000; +400 = 47,400; +40 = 47,440; +9 = 47,449
- Standard: 47,449
- Written: Forty-seven thousand four hundred forty-nine
✔ Completed Row 4:
| Standard | Expanded | Written |
|---------|----------|--------|
| 47,449 | 40,000 + 7,000 + 400 + 40 + 9 | forty-seven thousand four hundred forty-nine |
---
- Written: eighty thousand six hundred eighty-four
- Standard: 80,684
- Expanded: 80,000 + 600 + 80 + 4 → 80,000 + 600 + 80 + 4
✔ Completed Row 5:
| Standard | Expanded | Written |
|---------|----------|--------|
| 80,684 | 80,000 + 600 + 80 + 4 | eighty thousand six hundred eighty-four |
---
- Standard: 88,707
- Expanded: Break down:
- 80,000 + 8,000 + 700 + 0 + 7 = 80,000 + 8,000 + 700 + 7
- Written: Eighty-eight thousand seven hundred seven
✔ Completed Row 6:
| Standard | Expanded | Written |
|---------|----------|--------|
| 88,707 | 80,000 + 8,000 + 700 + 7 | eighty-eight thousand seven hundred seven |
---
- Expanded: 50,000 + 4,000 + 800 + 70 + 3
- Add: 50,000 + 4,000 = 54,000; +800 = 54,800; +70 = 54,870; +3 = 54,873
- Standard: 54,873
- Written: Fifty-four thousand eight hundred seventy-three
✔ Completed Row 7:
| Standard | Expanded | Written |
|---------|----------|--------|
| 54,873 | 50,000 + 4,000 + 800 + 70 + 3 | fifty-four thousand eight hundred seventy-three |
---
- Written: sixty-two thousand five hundred fifty-seven
- Standard: 62,557
- Expanded: 60,000 + 2,000 + 500 + 50 + 7 → 60,000 + 2,000 + 500 + 50 + 7
✔ Completed Row 8:
| Standard | Expanded | Written |
|---------|----------|--------|
| 62,557 | 60,000 + 2,000 + 500 + 50 + 7 | sixty-two thousand five hundred fifty-seven |
---
| Standard | Expanded | Written |
|---------|----------|--------|
| 50,722 | 50,000 + 700 + 20 + 2 | fifty thousand seven hundred twenty-two |
| 73,792 | 70,000 + 3,000 + 700 + 90 + 2 | seventy-three thousand seven hundred ninety-two |
| 30,090 | 30,000 + 90 | thirty thousand ninety |
| 47,449 | 40,000 + 7,000 + 400 + 40 + 9 | forty-seven thousand four hundred forty-nine |
| 80,684 | 80,000 + 600 + 80 + 4 | eighty thousand six hundred eighty-four |
| 88,707 | 80,000 + 8,000 + 700 + 7 | eighty-eight thousand seven hundred seven |
| 54,873 | 50,000 + 4,000 + 800 + 70 + 3 | fifty-four thousand eight hundred seventy-three |
| 62,557 | 60,000 + 2,000 + 500 + 50 + 7 | sixty-two thousand five hundred fifty-seven |
---
- Standard Form: The usual way we write numbers (e.g., 50,722).
- Expanded Form: Shows the value of each digit (e.g., 50,000 + 700 + 20 + 2).
- Written Form: The number spelled out in words (e.g., "fifty thousand seven hundred twenty-two").
This exercise helps build number sense and understanding of place value. Each form reinforces how numbers are constructed from their parts.
---
Row 1:
- Standard: 50,722
- Expanded: Break down the digits:
- 50,000 + 700 + 20 + 2
→ So, 50,000 + 700 + 20 + 2
- Written: Fifty thousand seven hundred twenty-two
✔ Completed Row 1:
| Standard | Expanded | Written |
|---------|----------|--------|
| 50,722 | 50,000 + 700 + 20 + 2 | fifty thousand seven hundred twenty-two |
---
Row 2:
- Written: seventy-three thousand seven hundred ninety-two
- Convert to Standard: 73,792
- Expanded: Break it down:
- 70,000 + 3,000 + 700 + 90 + 2 = 70,000 + 3,000 + 700 + 90 + 2
✔ Completed Row 2:
| Standard | Expanded | Written |
|---------|----------|--------|
| 73,792 | 70,000 + 3,000 + 700 + 90 + 2 | seventy-three thousand seven hundred ninety-two |
---
Row 3:
- Expanded: 30,000 + 90
- Add them: 30,000 + 90 = 30,090
- Standard: 30,090
- Written: Thirty thousand ninety
✔ Completed Row 3:
| Standard | Expanded | Written |
|---------|----------|--------|
| 30,090 | 30,000 + 90 | thirty thousand ninety |
---
Row 4:
- Expanded: 40,000 + 7,000 + 400 + 40 + 9
- Add: 40,000 + 7,000 = 47,000; +400 = 47,400; +40 = 47,440; +9 = 47,449
- Standard: 47,449
- Written: Forty-seven thousand four hundred forty-nine
✔ Completed Row 4:
| Standard | Expanded | Written |
|---------|----------|--------|
| 47,449 | 40,000 + 7,000 + 400 + 40 + 9 | forty-seven thousand four hundred forty-nine |
---
Row 5:
- Written: eighty thousand six hundred eighty-four
- Standard: 80,684
- Expanded: 80,000 + 600 + 80 + 4 → 80,000 + 600 + 80 + 4
✔ Completed Row 5:
| Standard | Expanded | Written |
|---------|----------|--------|
| 80,684 | 80,000 + 600 + 80 + 4 | eighty thousand six hundred eighty-four |
---
Row 6:
- Standard: 88,707
- Expanded: Break down:
- 80,000 + 8,000 + 700 + 0 + 7 = 80,000 + 8,000 + 700 + 7
- Written: Eighty-eight thousand seven hundred seven
✔ Completed Row 6:
| Standard | Expanded | Written |
|---------|----------|--------|
| 88,707 | 80,000 + 8,000 + 700 + 7 | eighty-eight thousand seven hundred seven |
---
Row 7:
- Expanded: 50,000 + 4,000 + 800 + 70 + 3
- Add: 50,000 + 4,000 = 54,000; +800 = 54,800; +70 = 54,870; +3 = 54,873
- Standard: 54,873
- Written: Fifty-four thousand eight hundred seventy-three
✔ Completed Row 7:
| Standard | Expanded | Written |
|---------|----------|--------|
| 54,873 | 50,000 + 4,000 + 800 + 70 + 3 | fifty-four thousand eight hundred seventy-three |
---
Row 8:
- Written: sixty-two thousand five hundred fifty-seven
- Standard: 62,557
- Expanded: 60,000 + 2,000 + 500 + 50 + 7 → 60,000 + 2,000 + 500 + 50 + 7
✔ Completed Row 8:
| Standard | Expanded | Written |
|---------|----------|--------|
| 62,557 | 60,000 + 2,000 + 500 + 50 + 7 | sixty-two thousand five hundred fifty-seven |
---
✔ Final Completed Table:
| Standard | Expanded | Written |
|---------|----------|--------|
| 50,722 | 50,000 + 700 + 20 + 2 | fifty thousand seven hundred twenty-two |
| 73,792 | 70,000 + 3,000 + 700 + 90 + 2 | seventy-three thousand seven hundred ninety-two |
| 30,090 | 30,000 + 90 | thirty thousand ninety |
| 47,449 | 40,000 + 7,000 + 400 + 40 + 9 | forty-seven thousand four hundred forty-nine |
| 80,684 | 80,000 + 600 + 80 + 4 | eighty thousand six hundred eighty-four |
| 88,707 | 80,000 + 8,000 + 700 + 7 | eighty-eight thousand seven hundred seven |
| 54,873 | 50,000 + 4,000 + 800 + 70 + 3 | fifty-four thousand eight hundred seventy-three |
| 62,557 | 60,000 + 2,000 + 500 + 50 + 7 | sixty-two thousand five hundred fifty-seven |
---
🔍 Explanation Summary:
- Standard Form: The usual way we write numbers (e.g., 50,722).
- Expanded Form: Shows the value of each digit (e.g., 50,000 + 700 + 20 + 2).
- Written Form: The number spelled out in words (e.g., "fifty thousand seven hundred twenty-two").
This exercise helps build number sense and understanding of place value. Each form reinforces how numbers are constructed from their parts.
Parent Tip: Review the logic above to help your child master the concept of standard expanded and word form worksheet.