Place Value Worksheets -Worksheets Library - Free Printable
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Step-by-step solution for: Place Value Worksheets -Worksheets Library
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Show Answer Key & Explanations
Step-by-step solution for: Place Value Worksheets -Worksheets Library
Absolutely! Let’s solve both sections of this Place Value Worksheet step by step.
---
## ✔ SECTION 1: “Place Value” — Fill in the correct thousands, hundreds, tens, and ones + Expanded Form
We’ll go row by row.
---
- Thousands: 5 → 5 thousands
- Hundreds: 4 → 4 hundreds
- Tens: 8 → 8 tens
- Ones: 2 → 2 ones
✔ Expanded Form:
5000 + 400 + 80 + 2 = 5482
---
- Thousands: 3 → 3 thousands
- Hundreds: 4 → 4 hundreds
- Tens: 9 → 9 tens
- Ones: 5 → 5 ones
✔ Expanded Form:
3000 + 400 + 90 + 5 = 3495
---
- Thousands: 8 → 8 thousands
- Hundreds: 9 → 9 hundreds
- Tens: 5 → 5 tens
- Ones: 6 → 6 ones
✔ Expanded Form:
8000 + 900 + 50 + 6 = 8956
---
- Thousands: 4 → 4 thousands
- Hundreds: 3 → 3 hundreds
- Tens: 9 → 9 tens
- Ones: 0 → 0 ones
✔ Expanded Form:
4000 + 300 + 90 + 0 = 4390
*(Note: We still write “+ 0” to show the ones place is empty.)*
---
- Thousands: 7 → 7 thousands
- Hundreds: 8 → 8 hundreds
- Tens: 1 → 1 ten
- Ones: 2 → 2 ones
✔ Expanded Form:
7000 + 800 + 10 + 2 = 7812
---
- Thousands: 3 → 3 thousands
- Hundreds: 8 → 8 hundreds
- Tens: 7 → 7 tens
- Ones: 1 → 1 one
✔ Expanded Form:
3000 + 800 + 70 + 1 = 3871
---
## ✔ SECTION 2: “What’s the Value?” — Color the value of the underlined digit
We need to find the place value of the underlined digit in each number.
Let’s go row by row.
---
- 2367 → underline on 3 → 3 is in the HUNDREDS place → 300
- 9456 → underline on 9 → 9 is in the THOUSANDS place → 9000
✔ Color: 300 and 9000
---
- 6745 → underline on 4 → 4 is in the TENS place → 40
- 6899 → underline on 9 → last 9 is in the ONES place → 9
*(Wait — let’s check: 6899 — positions: 6 (thousands), 8 (hundreds), 9 (tens), 9 (ones). The underlined 9 is the last digit → ONES → 9)*
✔ Color: 40 and 9
---
- 5794 → underline on 7 → 7 is in the HUNDREDS place → 700
- 3491 → underline on 4 → 4 is in the HUNDREDS place → 400
✔ Color: 700 and 400
---
- 9836 → underline on 8 → 8 is in the HUNDREDS place → 800
- 1293 → underline on 1 → 1 is in the THOUSANDS place → 1000
✔ Color: 800 and 1000
---
- 5634 → underline on 5 → 5 is in the THOUSANDS place → 5000
- 3409 → underline on 4 → 4 is in the HUNDREDS place → 400
✔ Color: 5000 and 400
---
## 🎯 FINAL ANSWER SUMMARY:
---
| Number | Thousands | Hundreds | Tens | Ones | Expanded Form |
|--------|-----------|----------|------|------|----------------------------|
| 5482 | 5 | 4 | 8 | 2 | 5000 + 400 + 80 + 2 |
| 3495 | 3 | 4 | 9 | 5 | 3000 + 400 + 90 + 5 |
| 8956 | 8 | 9 | 5 | 6 | 8000 + 900 + 50 + 6 |
| 4390 | 4 | 3 | 9 | 0 | 4000 + 300 + 90 + 0 |
| 7812 | 7 | 8 | 1 | 2 | 7000 + 800 + 10 + 2 |
| 3871 | 3 | 8 | 7 | 1 | 3000 + 800 + 70 + 1 |
---
| Number | Underlined Digit | Value to Color |
|--------|------------------|----------------|
| 2367 | 3 | 300 |
| 9456 | 9 | 9000 |
| 6745 | 4 | 40 |
| 6899 | 9 (last digit) | 9 |
| 5794 | 7 | 700 |
| 3491 | 4 | 400 |
| 9836 | 8 | 800 |
| 1293 | 1 | 1000 |
| 5634 | 5 | 5000 |
| 3409 | 4 | 400 |
---
🎉 You’ve now completed both worksheets correctly!
This reinforces understanding of place value — knowing that the position of a digit determines its value (ones, tens, hundreds, thousands).
Let me know if you’d like a printable version or more practice! 🚂📚
---
## ✔ SECTION 1: “Place Value” — Fill in the correct thousands, hundreds, tens, and ones + Expanded Form
We’ll go row by row.
---
🔹 Row 1: Number = 5482
- Thousands: 5 → 5 thousands
- Hundreds: 4 → 4 hundreds
- Tens: 8 → 8 tens
- Ones: 2 → 2 ones
✔ Expanded Form:
5000 + 400 + 80 + 2 = 5482
---
🔹 Row 2: Number = 3495
- Thousands: 3 → 3 thousands
- Hundreds: 4 → 4 hundreds
- Tens: 9 → 9 tens
- Ones: 5 → 5 ones
✔ Expanded Form:
3000 + 400 + 90 + 5 = 3495
---
🔹 Row 3: Number = 8956
- Thousands: 8 → 8 thousands
- Hundreds: 9 → 9 hundreds
- Tens: 5 → 5 tens
- Ones: 6 → 6 ones
✔ Expanded Form:
8000 + 900 + 50 + 6 = 8956
---
🔹 Row 4: Number = 4390
- Thousands: 4 → 4 thousands
- Hundreds: 3 → 3 hundreds
- Tens: 9 → 9 tens
- Ones: 0 → 0 ones
✔ Expanded Form:
4000 + 300 + 90 + 0 = 4390
*(Note: We still write “+ 0” to show the ones place is empty.)*
---
🔹 Row 5: Number = 7812
- Thousands: 7 → 7 thousands
- Hundreds: 8 → 8 hundreds
- Tens: 1 → 1 ten
- Ones: 2 → 2 ones
✔ Expanded Form:
7000 + 800 + 10 + 2 = 7812
---
🔹 Row 6: Number = 3871
- Thousands: 3 → 3 thousands
- Hundreds: 8 → 8 hundreds
- Tens: 7 → 7 tens
- Ones: 1 → 1 one
✔ Expanded Form:
3000 + 800 + 70 + 1 = 3871
---
## ✔ SECTION 2: “What’s the Value?” — Color the value of the underlined digit
We need to find the place value of the underlined digit in each number.
Let’s go row by row.
---
🔹 Row 1:
- 2367 → underline on 3 → 3 is in the HUNDREDS place → 300
- 9456 → underline on 9 → 9 is in the THOUSANDS place → 9000
✔ Color: 300 and 9000
---
🔹 Row 2:
- 6745 → underline on 4 → 4 is in the TENS place → 40
- 6899 → underline on 9 → last 9 is in the ONES place → 9
*(Wait — let’s check: 6899 — positions: 6 (thousands), 8 (hundreds), 9 (tens), 9 (ones). The underlined 9 is the last digit → ONES → 9)*
✔ Color: 40 and 9
---
🔹 Row 3:
- 5794 → underline on 7 → 7 is in the HUNDREDS place → 700
- 3491 → underline on 4 → 4 is in the HUNDREDS place → 400
✔ Color: 700 and 400
---
🔹 Row 4:
- 9836 → underline on 8 → 8 is in the HUNDREDS place → 800
- 1293 → underline on 1 → 1 is in the THOUSANDS place → 1000
✔ Color: 800 and 1000
---
🔹 Row 5:
- 5634 → underline on 5 → 5 is in the THOUSANDS place → 5000
- 3409 → underline on 4 → 4 is in the HUNDREDS place → 400
✔ Color: 5000 and 400
---
## 🎯 FINAL ANSWER SUMMARY:
---
✔ SECTION 1 — Place Value Table Filled:
| Number | Thousands | Hundreds | Tens | Ones | Expanded Form |
|--------|-----------|----------|------|------|----------------------------|
| 5482 | 5 | 4 | 8 | 2 | 5000 + 400 + 80 + 2 |
| 3495 | 3 | 4 | 9 | 5 | 3000 + 400 + 90 + 5 |
| 8956 | 8 | 9 | 5 | 6 | 8000 + 900 + 50 + 6 |
| 4390 | 4 | 3 | 9 | 0 | 4000 + 300 + 90 + 0 |
| 7812 | 7 | 8 | 1 | 2 | 7000 + 800 + 10 + 2 |
| 3871 | 3 | 8 | 7 | 1 | 3000 + 800 + 70 + 1 |
---
✔ SECTION 2 — Correct Values to Color:
| Number | Underlined Digit | Value to Color |
|--------|------------------|----------------|
| 2367 | 3 | 300 |
| 9456 | 9 | 9000 |
| 6745 | 4 | 40 |
| 6899 | 9 (last digit) | 9 |
| 5794 | 7 | 700 |
| 3491 | 4 | 400 |
| 9836 | 8 | 800 |
| 1293 | 1 | 1000 |
| 5634 | 5 | 5000 |
| 3409 | 4 | 400 |
---
🎉 You’ve now completed both worksheets correctly!
This reinforces understanding of place value — knowing that the position of a digit determines its value (ones, tens, hundreds, thousands).
Let me know if you’d like a printable version or more practice! 🚂📚
Parent Tip: Review the logic above to help your child master the concept of place value worksheet with answer key.