Decimal Place Value Worksheets | Grade1to6.com - Free Printable
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Step-by-step solution for: Decimal Place Value Worksheets | Grade1to6.com
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Show Answer Key & Explanations
Step-by-step solution for: Decimal Place Value Worksheets | Grade1to6.com
Let's solve this step-by-step.
---
We are asked to write the value of each digit in a number according to its decimal place value. The chart has columns for:
- Millions, Hundred thousands, Ten thousands, Thousands, Hundreds, Tens, Ones
- Decimal Point
- Tenths, Hundredths
We need to fill in the digits of each number into the correct place value column.
---
For each number:
1. Start from the leftmost digit and move right.
2. Place each digit in the correct column based on its position (e.g., the first digit is in the "Ten thousands" place if it’s a 5-digit number).
3. Put the decimal point in the designated column.
4. Then continue with the digits after the decimal point (tenths, hundredths).
Let’s go through each one.
---
#### i. 26341.43
| Millions | Hundred thousands | Ten thousands | Thousands | Hundreds | Tens | Ones | Decimal Point | Tenths | Hundredths |
|----------|-------------------|---------------|-----------|----------|------|------|---------------|--------|------------|
| | | 2 | 6 | 3 | 4 | 1 | . | 4 | 3 |
✔ Done (already filled in as an example)
---
#### ii. 63214.24
| Millions | Hundred thousands | Ten thousands | Thousands | Hundreds | Tens | Ones | Decimal Point | Tenths | Hundredths |
|----------|-------------------|---------------|-----------|----------|------|------|---------------|--------|------------|
| | | 6 | 3 | 2 | 1 | 4 | . | 2 | 4 |
---
#### iii. 7845.02
| Millions | Hundred thousands | Ten thousands | Thousands | Hundreds | Tens | Ones | Decimal Point | Tenths | Hundredths |
|----------|-------------------|---------------|-----------|----------|------|------|---------------|--------|------------|
| | | | | 7 | 8 | 4 | . | 0 | 2 |
> Note: Since it's a 4-digit number before decimal, only "Thousands", "Hundreds", "Tens", "Ones" are used.
---
#### iv. 635.14
| Millions | Hundred thousands | Ten thousands | Thousands | Hundreds | Tens | Ones | Decimal Point | Tenths | Hundredths |
|----------|-------------------|---------------|-----------|----------|------|------|---------------|--------|------------|
| | | | | | 6 | 3 | . | 1 | 4 |
> Only “Tens”, “Ones” are used for whole part.
---
#### v. 9758.22
| Millions | Hundred thousands | Ten thousands | Thousands | Hundreds | Tens | Ones | Decimal Point | Tenths | Hundredths |
|----------|-------------------|---------------|-----------|----------|------|------|---------------|--------|------------|
| | | | | 9 | 7 | 5 | . | 2 | 2 |
---
#### vi. 369.21
| Millions | Hundred thousands | Ten thousands | Thousands | Hundreds | Tens | Ones | Decimal Point | Tenths | Hundredths |
|----------|-------------------|---------------|-----------|----------|------|------|---------------|--------|------------|
| | | | | | 3 | 6 | . | 2 | 1 |
---
#### vii. 4878.21
| Millions | Hundred thousands | Ten thousands | Thousands | Hundreds | Tens | Ones | Decimal Point | Tenths | Hundredths |
|----------|-------------------|---------------|-----------|----------|------|------|---------------|--------|------------|
| | | | | 4 | 8 | 7 | . | 2 | 1 |
---
#### viii. 6974.23
| Millions | Hundred thousands | Ten thousands | Thousands | Hundreds | Tens | Ones | Decimal Point | Tenths | Hundredths |
|----------|-------------------|---------------|-----------|----------|------|------|---------------|--------|------------|
| | | | | 6 | 9 | 7 | . | 2 | 3 |
---
#### ix. 62476.06
| Millions | Hundred thousands | Ten thousands | Thousands | Hundreds | Tens | Ones | Decimal Point | Tenths | Hundredths |
|----------|-------------------|---------------|-----------|----------|------|------|---------------|--------|------------|
| | 6 | 2 | 4 | 7 | 6 | 0 | . | 6 | 0 |
> Wait! Let's double-check:
62476.06 →
- 6 (ten thousands)
- 2 (thousands)
- 4 (hundreds)
- 7 (tens)
- 6 (ones)
- 0 (tenths)
- 6 (hundredths)
So:
| Millions | Hundred thousands | Ten thousands | Thousands | Hundreds | Tens | Ones | Decimal Point | Tenths | Hundredths |
|----------|-------------------|---------------|-----------|----------|------|------|---------------|--------|------------|
| | 6 | 2 | 4 | 7 | 6 | 0 | . | 6 | 0 |
Wait — no! 62476.06 →
Digits:
- 6 → ten thousands
- 2 → thousands
- 4 → hundreds
- 7 → tens
- 6 → ones
- .
- 0 → tenths
- 6 → hundredths
So the ones digit is 6, not 0.
Corrected:
| Millions | Hundred thousands | Ten thousands | Thousands | Hundreds | Tens | Ones | Decimal Point | Tenths | Hundredths |
|----------|-------------------|---------------|-----------|----------|------|------|---------------|--------|------------|
| | 6 | 2 | 4 | 7 | 6 | 6 | . | 0 | 6 |
Yes! That's correct.
---
#### x. 6719.32
| Millions | Hundred thousands | Ten thousands | Thousands | Hundreds | Tens | Ones | Decimal Point | Tenths | Hundredths |
|----------|-------------------|---------------|-----------|----------|------|------|---------------|--------|------------|
| | | | | 6 | 7 | 1 | . | 3 | 2 |
---
#### xi. 94758.05
| Millions | Hundred thousands | Ten thousands | Thousands | Hundreds | Tens | Ones | Decimal Point | Tenths | Hundredths |
|----------|-------------------|---------------|-----------|----------|------|------|---------------|--------|------------|
| | 9 | 4 | 7 | 5 | 8 | 0 | . | 5 | 0 |
Wait — check:
94758.05 →
- 9 → ten thousands
- 4 → thousands
- 7 → hundreds
- 5 → tens
- 8 → ones
- .
- 0 → tenths
- 5 → hundredths
So Ones = 8, not 0.
Corrected:
| Millions | Hundred thousands | Ten thousands | Thousands | Hundreds | Tens | Ones | Decimal Point | Tenths | Hundredths |
|----------|-------------------|---------------|-----------|----------|------|------|---------------|--------|------------|
| | 9 | 4 | 7 | 5 | 8 | 8 | . | 0 | 5 |
No — wait!
94758.05:
Breakdown:
- 9 → ten thousands
- 4 → thousands
- 7 → hundreds
- 5 → tens
- 8 → ones
- .
- 0 → tenths
- 5 → hundredths
So:
- Ones = 8
- Tenths = 0
- Hundredths = 5
✔ Correct.
---
Here’s the completed table:
| # | Number | Millions | Hundred thousands | Ten thousands | Thousands | Hundreds | Tens | Ones | Decimal Point | Tenths | Hundredths |
|----|--------------|----------|--------------------|---------------|-----------|----------|------|------|---------------|--------|------------|
| i | 26341.43 | | | 2 | 6 | 3 | 4 | 1 | . | 4 | 3 |
| ii | 63214.24 | | | 6 | 3 | 2 | 1 | 4 | . | 2 | 4 |
| iii| 7845.02 | | | | 7 | 8 | 4 | 5 | . | 0 | 2 |
| iv | 635.14 | | | | | 6 | 3 | 5 | . | 1 | 4 |
| v | 9758.22 | | | | 9 | 7 | 5 | 8 | . | 2 | 2 |
| vi | 369.21 | | | | | 3 | 6 | 9 | . | 2 | 1 |
| vii| 4878.21 | | | | 4 | 8 | 7 | 8 | . | 2 | 1 |
| viii|6974.23 | | | | 6 | 9 | 7 | 4 | . | 2 | 3 |
| ix | 62476.06 | | 6 | 2 | 4 | 7 | 6 | 6 | . | 0 | 6 |
| x | 6719.32 | | | | 6 | 7 | 1 | 9 | . | 3 | 2 |
| xi | 94758.05 | | 9 | 4 | 7 | 5 | 8 | 8 | . | 0 | 5 |
---
- Each digit is placed in its correct place value column.
- The decimal point separates whole numbers from fractional parts.
- After the decimal point:
- First digit → tenths (1/10)
- Second digit → hundredths (1/100)
This helps understand the value of each digit in the number.
Let me know if you'd like this as a printable version or explanation for students!
---
🔍 Understanding the Task
We are asked to write the value of each digit in a number according to its decimal place value. The chart has columns for:
- Millions, Hundred thousands, Ten thousands, Thousands, Hundreds, Tens, Ones
- Decimal Point
- Tenths, Hundredths
We need to fill in the digits of each number into the correct place value column.
---
✔ How to Solve:
For each number:
1. Start from the leftmost digit and move right.
2. Place each digit in the correct column based on its position (e.g., the first digit is in the "Ten thousands" place if it’s a 5-digit number).
3. Put the decimal point in the designated column.
4. Then continue with the digits after the decimal point (tenths, hundredths).
Let’s go through each one.
---
🧮 Solutions:
#### i. 26341.43
| Millions | Hundred thousands | Ten thousands | Thousands | Hundreds | Tens | Ones | Decimal Point | Tenths | Hundredths |
|----------|-------------------|---------------|-----------|----------|------|------|---------------|--------|------------|
| | | 2 | 6 | 3 | 4 | 1 | . | 4 | 3 |
✔ Done (already filled in as an example)
---
#### ii. 63214.24
| Millions | Hundred thousands | Ten thousands | Thousands | Hundreds | Tens | Ones | Decimal Point | Tenths | Hundredths |
|----------|-------------------|---------------|-----------|----------|------|------|---------------|--------|------------|
| | | 6 | 3 | 2 | 1 | 4 | . | 2 | 4 |
---
#### iii. 7845.02
| Millions | Hundred thousands | Ten thousands | Thousands | Hundreds | Tens | Ones | Decimal Point | Tenths | Hundredths |
|----------|-------------------|---------------|-----------|----------|------|------|---------------|--------|------------|
| | | | | 7 | 8 | 4 | . | 0 | 2 |
> Note: Since it's a 4-digit number before decimal, only "Thousands", "Hundreds", "Tens", "Ones" are used.
---
#### iv. 635.14
| Millions | Hundred thousands | Ten thousands | Thousands | Hundreds | Tens | Ones | Decimal Point | Tenths | Hundredths |
|----------|-------------------|---------------|-----------|----------|------|------|---------------|--------|------------|
| | | | | | 6 | 3 | . | 1 | 4 |
> Only “Tens”, “Ones” are used for whole part.
---
#### v. 9758.22
| Millions | Hundred thousands | Ten thousands | Thousands | Hundreds | Tens | Ones | Decimal Point | Tenths | Hundredths |
|----------|-------------------|---------------|-----------|----------|------|------|---------------|--------|------------|
| | | | | 9 | 7 | 5 | . | 2 | 2 |
---
#### vi. 369.21
| Millions | Hundred thousands | Ten thousands | Thousands | Hundreds | Tens | Ones | Decimal Point | Tenths | Hundredths |
|----------|-------------------|---------------|-----------|----------|------|------|---------------|--------|------------|
| | | | | | 3 | 6 | . | 2 | 1 |
---
#### vii. 4878.21
| Millions | Hundred thousands | Ten thousands | Thousands | Hundreds | Tens | Ones | Decimal Point | Tenths | Hundredths |
|----------|-------------------|---------------|-----------|----------|------|------|---------------|--------|------------|
| | | | | 4 | 8 | 7 | . | 2 | 1 |
---
#### viii. 6974.23
| Millions | Hundred thousands | Ten thousands | Thousands | Hundreds | Tens | Ones | Decimal Point | Tenths | Hundredths |
|----------|-------------------|---------------|-----------|----------|------|------|---------------|--------|------------|
| | | | | 6 | 9 | 7 | . | 2 | 3 |
---
#### ix. 62476.06
| Millions | Hundred thousands | Ten thousands | Thousands | Hundreds | Tens | Ones | Decimal Point | Tenths | Hundredths |
|----------|-------------------|---------------|-----------|----------|------|------|---------------|--------|------------|
| | 6 | 2 | 4 | 7 | 6 | 0 | . | 6 | 0 |
> Wait! Let's double-check:
62476.06 →
- 6 (ten thousands)
- 2 (thousands)
- 4 (hundreds)
- 7 (tens)
- 6 (ones)
- 0 (tenths)
- 6 (hundredths)
So:
| Millions | Hundred thousands | Ten thousands | Thousands | Hundreds | Tens | Ones | Decimal Point | Tenths | Hundredths |
|----------|-------------------|---------------|-----------|----------|------|------|---------------|--------|------------|
| | 6 | 2 | 4 | 7 | 6 | 0 | . | 6 | 0 |
Wait — no! 62476.06 →
Digits:
- 6 → ten thousands
- 2 → thousands
- 4 → hundreds
- 7 → tens
- 6 → ones
- .
- 0 → tenths
- 6 → hundredths
So the ones digit is 6, not 0.
Corrected:
| Millions | Hundred thousands | Ten thousands | Thousands | Hundreds | Tens | Ones | Decimal Point | Tenths | Hundredths |
|----------|-------------------|---------------|-----------|----------|------|------|---------------|--------|------------|
| | 6 | 2 | 4 | 7 | 6 | 6 | . | 0 | 6 |
Yes! That's correct.
---
#### x. 6719.32
| Millions | Hundred thousands | Ten thousands | Thousands | Hundreds | Tens | Ones | Decimal Point | Tenths | Hundredths |
|----------|-------------------|---------------|-----------|----------|------|------|---------------|--------|------------|
| | | | | 6 | 7 | 1 | . | 3 | 2 |
---
#### xi. 94758.05
| Millions | Hundred thousands | Ten thousands | Thousands | Hundreds | Tens | Ones | Decimal Point | Tenths | Hundredths |
|----------|-------------------|---------------|-----------|----------|------|------|---------------|--------|------------|
| | 9 | 4 | 7 | 5 | 8 | 0 | . | 5 | 0 |
Wait — check:
94758.05 →
- 9 → ten thousands
- 4 → thousands
- 7 → hundreds
- 5 → tens
- 8 → ones
- .
- 0 → tenths
- 5 → hundredths
So Ones = 8, not 0.
Corrected:
| Millions | Hundred thousands | Ten thousands | Thousands | Hundreds | Tens | Ones | Decimal Point | Tenths | Hundredths |
|----------|-------------------|---------------|-----------|----------|------|------|---------------|--------|------------|
| | 9 | 4 | 7 | 5 | 8 | 8 | . | 0 | 5 |
No — wait!
94758.05:
Breakdown:
- 9 → ten thousands
- 4 → thousands
- 7 → hundreds
- 5 → tens
- 8 → ones
- .
- 0 → tenths
- 5 → hundredths
So:
- Ones = 8
- Tenths = 0
- Hundredths = 5
✔ Correct.
---
✔ Final Answer Table:
Here’s the completed table:
| # | Number | Millions | Hundred thousands | Ten thousands | Thousands | Hundreds | Tens | Ones | Decimal Point | Tenths | Hundredths |
|----|--------------|----------|--------------------|---------------|-----------|----------|------|------|---------------|--------|------------|
| i | 26341.43 | | | 2 | 6 | 3 | 4 | 1 | . | 4 | 3 |
| ii | 63214.24 | | | 6 | 3 | 2 | 1 | 4 | . | 2 | 4 |
| iii| 7845.02 | | | | 7 | 8 | 4 | 5 | . | 0 | 2 |
| iv | 635.14 | | | | | 6 | 3 | 5 | . | 1 | 4 |
| v | 9758.22 | | | | 9 | 7 | 5 | 8 | . | 2 | 2 |
| vi | 369.21 | | | | | 3 | 6 | 9 | . | 2 | 1 |
| vii| 4878.21 | | | | 4 | 8 | 7 | 8 | . | 2 | 1 |
| viii|6974.23 | | | | 6 | 9 | 7 | 4 | . | 2 | 3 |
| ix | 62476.06 | | 6 | 2 | 4 | 7 | 6 | 6 | . | 0 | 6 |
| x | 6719.32 | | | | 6 | 7 | 1 | 9 | . | 3 | 2 |
| xi | 94758.05 | | 9 | 4 | 7 | 5 | 8 | 8 | . | 0 | 5 |
---
✔ Summary Explanation:
- Each digit is placed in its correct place value column.
- The decimal point separates whole numbers from fractional parts.
- After the decimal point:
- First digit → tenths (1/10)
- Second digit → hundredths (1/100)
This helps understand the value of each digit in the number.
Let me know if you'd like this as a printable version or explanation for students!
Parent Tip: Review the logic above to help your child master the concept of place value of decimals worksheet.