Decimal Place Value Worksheets | Grade1to6.com - Free Printable
Educational worksheet: Decimal Place Value Worksheets | Grade1to6.com. Download and print for classroom or home learning activities.
PNG
2479×3508
884.5 KB
Free · Personal Use
Quality Assured by Worksheets Library Team
Reviewed for educational accuracy and age-appropriateness
ID: #1465935
⭐
Show Answer Key & Explanations
Step-by-step solution for: Decimal Place Value Worksheets | Grade1to6.com
▼
Show Answer Key & Explanations
Step-by-step solution for: Decimal Place Value Worksheets | Grade1to6.com
Let's solve this step-by-step.
The task is to write the value of each digit in a number according to its decimal place value. We are given numbers like `26341.43`, and we need to fill in a chart that shows the digits in their correct place values.
- Millions
- Hundred thousands
- Ten thousands
- Thousands
- Hundreds
- Tens
- Ones
- Decimal Point
- Tenths
- Hundredths
We will now go through each number and fill in the chart accordingly.
---
Break it down:
- 2 → Ten thousands
- 6 → Thousands
- 3 → Hundreds
- 4 → Tens
- 1 → Ones
- . → Decimal point
- 4 → Tenths
- 3 → Hundredths
✔ Already filled in the example.
---
Digits:
6, 3, 2, 1, 4, ., 2, 4
Place values:
- 6 → Ten thousands
- 3 → Thousands
- 2 → Hundreds
- 1 → Tens
- 4 → Ones
- . → Decimal point
- 2 → Tenths
- 4 → Hundredths
| Millions | Hundred thousands | Ten thousands | Thousands | Hundreds | Tens | Ones | Decimal Point | Tenths | Hundredths |
|----------|-------------------|---------------|-----------|----------|------|------|---------------|--------|------------|
| | | 6 | 3 | 2 | 1 | 4 | . | 2 | 4 |
---
Digits: 7, 8, 4, 5, ., 0, 2
Place values:
- 7 → Thousands
- 8 → Hundreds
- 4 → Tens
- 5 → Ones
- . → Decimal point
- 0 → Tenths
- 2 → Hundredths
| Millions | Hundred thousands | Ten thousands | Thousands | Hundreds | Tens | Ones | Decimal Point | Tenths | Hundredths |
|----------|-------------------|---------------|-----------|----------|------|------|---------------|--------|------------|
| | | | 7 | 8 | 4 | 5 | . | 0 | 2 |
---
Digits: 6, 3, 5, ., 1, 4
Place values:
- 6 → Hundreds
- 3 → Tens
- 5 → Ones
- . → Decimal point
- 1 → Tenths
- 4 → Hundredths
| Millions | Hundred thousands | Ten thousands | Thousands | Hundreds | Tens | Ones | Decimal Point | Tenths | Hundredths |
|----------|-------------------|---------------|-----------|----------|------|------|---------------|--------|------------|
| | | | | 6 | 3 | 5 | . | 1 | 4 |
---
Digits: 9, 7, 5, 8, ., 2, 2
Place values:
- 9 → Thousands
- 7 → Hundreds
- 5 → Tens
- 8 → Ones
- . → Decimal point
- 2 → Tenths
- 2 → Hundredths
| Millions | Hundred thousands | Ten thousands | Thousands | Hundreds | Tens | Ones | Decimal Point | Tenths | Hundredths |
|----------|-------------------|---------------|-----------|----------|------|------|---------------|--------|------------|
| | | | 9 | 7 | 5 | 8 | . | 2 | 2 |
---
Digits: 3, 6, 9, ., 2, 1
Place values:
- 3 → Hundreds
- 6 → Tens
- 9 → Ones
- . → Decimal point
- 2 → Tenths
- 1 → Hundredths
| Millions | Hundred thousands | Ten thousands | Thousands | Hundreds | Tens | Ones | Decimal Point | Tenths | Hundredths |
|----------|-------------------|---------------|-----------|----------|------|------|---------------|--------|------------|
| | | | | 3 | 6 | 9 | . | 2 | 1 |
---
Digits: 4, 8, 7, 8, ., 2, 1
Place values:
- 4 → Thousands
- 8 → Hundreds
- 7 → Tens
- 8 → Ones
- . → Decimal point
- 2 → Tenths
- 1 → Hundredths
| Millions | Hundred thousands | Ten thousands | Thousands | Hundreds | Tens | Ones | Decimal Point | Tenths | Hundredths |
|----------|-------------------|---------------|-----------|----------|------|------|---------------|--------|------------|
| | | | 4 | 8 | 7 | 8 | . | 2 | 1 |
---
Digits: 6, 9, 7, 4, ., 2, 3
Place values:
- 6 → Thousands
- 9 → Hundreds
- 7 → Tens
- 4 → Ones
- . → Decimal point
- 2 → Tenths
- 3 → Hundredths
| Millions | Hundred thousands | Ten thousands | Thousands | Hundreds | Tens | Ones | Decimal Point | Tenths | Hundredths |
|----------|-------------------|---------------|-----------|----------|------|------|---------------|--------|------------|
| | | | 6 | 9 | 7 | 4 | . | 2 | 3 |
---
Digits: 6, 2, 4, 7, 6, ., 0, 6
Place values:
- 6 → Ten thousands
- 2 → Thousands
- 4 → Hundreds
- 7 → Tens
- 6 → Ones
- . → Decimal point
- 0 → Tenths
- 6 → Hundredths
| Millions | Hundred thousands | Ten thousands | Thousands | Hundreds | Tens | Ones | Decimal Point | Tenths | Hundredths |
|----------|-------------------|---------------|-----------|----------|------|------|---------------|--------|------------|
| | | 6 | 2 | 4 | 7 | 6 | . | 0 | 6 |
---
Digits: 6, 7, 1, 9, ., 3, 2
Place values:
- 6 → Thousands
- 7 → Hundreds
- 1 → Tens
- 9 → Ones
- . → Decimal point
- 3 → Tenths
- 2 → Hundredths
| Millions | Hundred thousands | Ten thousands | Thousands | Hundreds | Tens | Ones | Decimal Point | Tenths | Hundredths |
|----------|-------------------|---------------|-----------|----------|------|------|---------------|--------|------------|
| | | | 6 | 7 | 1 | 9 | . | 3 | 2 |
---
Digits: 9, 4, 7, 5, 8, ., 0, 5
Place values:
- 9 → Ten thousands
- 4 → Thousands
- 7 → Hundreds
- 5 → Tens
- 8 → Ones
- . → Decimal point
- 0 → Tenths
- 5 → Hundredths
| Millions | Hundred thousands | Ten thousands | Thousands | Hundreds | Tens | Ones | Decimal Point | Tenths | Hundredths |
|----------|-------------------|---------------|-----------|----------|------|------|---------------|--------|------------|
| | | 9 | 4 | 7 | 5 | 8 | . | 0 | 5 |
---
Here’s how all the rows should be filled:
| Number | Millions | HThou | TThou | Thou | Hund | Tens | Ones | . | Tenths | Hundrths |
|---------------|----------|-------|-------|------|------|------|------|----|--------|----------|
| 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 | . | 0 | 6 |
| x. 6719.32 | | | | 6 | 7 | 1 | 9 | . | 3 | 2 |
| xi. 94758.05 | | | 9 | 4 | 7 | 5 | 8 | . | 0 | 5 |
> 📌 Note: For any blank cells (like "Millions" or "Hundred thousands"), you can leave them empty since the number doesn't have digits in those places.
---
This exercise teaches place value understanding, especially for decimals. Each digit has a specific value based on its position:
- Left of decimal: powers of 10 (ones, tens, hundreds, etc.)
- Right of decimal: fractions of 10 (tenths = 1/10, hundredths = 1/100)
For example:
- In 26341.43, the '4' after the decimal is in the tenths place → means 4 tenths = 0.4
- The '3' is in hundredths → 3 hundredths = 0.03
This helps students understand how decimals represent parts of a whole.
Let me know if you'd like a printable version or an explanation with visual aids!
The task is to write the value of each digit in a number according to its decimal place value. We are given numbers like `26341.43`, and we need to fill in a chart that shows the digits in their correct place values.
Place Value Chart (from left to right):
- Millions
- Hundred thousands
- Ten thousands
- Thousands
- Hundreds
- Tens
- Ones
- Decimal Point
- Tenths
- Hundredths
We will now go through each number and fill in the chart accordingly.
---
i. 26341.43
Break it down:
- 2 → Ten thousands
- 6 → Thousands
- 3 → Hundreds
- 4 → Tens
- 1 → Ones
- . → Decimal point
- 4 → Tenths
- 3 → Hundredths
✔ Already filled in the example.
---
ii. 63214.24
Digits:
6, 3, 2, 1, 4, ., 2, 4
Place values:
- 6 → Ten thousands
- 3 → Thousands
- 2 → Hundreds
- 1 → Tens
- 4 → Ones
- . → Decimal point
- 2 → Tenths
- 4 → Hundredths
| Millions | Hundred thousands | Ten thousands | Thousands | Hundreds | Tens | Ones | Decimal Point | Tenths | Hundredths |
|----------|-------------------|---------------|-----------|----------|------|------|---------------|--------|------------|
| | | 6 | 3 | 2 | 1 | 4 | . | 2 | 4 |
---
iii. 7845.02
Digits: 7, 8, 4, 5, ., 0, 2
Place values:
- 7 → Thousands
- 8 → Hundreds
- 4 → Tens
- 5 → Ones
- . → Decimal point
- 0 → Tenths
- 2 → Hundredths
| Millions | Hundred thousands | Ten thousands | Thousands | Hundreds | Tens | Ones | Decimal Point | Tenths | Hundredths |
|----------|-------------------|---------------|-----------|----------|------|------|---------------|--------|------------|
| | | | 7 | 8 | 4 | 5 | . | 0 | 2 |
---
iv. 635.14
Digits: 6, 3, 5, ., 1, 4
Place values:
- 6 → Hundreds
- 3 → Tens
- 5 → Ones
- . → Decimal point
- 1 → Tenths
- 4 → Hundredths
| Millions | Hundred thousands | Ten thousands | Thousands | Hundreds | Tens | Ones | Decimal Point | Tenths | Hundredths |
|----------|-------------------|---------------|-----------|----------|------|------|---------------|--------|------------|
| | | | | 6 | 3 | 5 | . | 1 | 4 |
---
v. 9758.22
Digits: 9, 7, 5, 8, ., 2, 2
Place values:
- 9 → Thousands
- 7 → Hundreds
- 5 → Tens
- 8 → Ones
- . → Decimal point
- 2 → Tenths
- 2 → Hundredths
| Millions | Hundred thousands | Ten thousands | Thousands | Hundreds | Tens | Ones | Decimal Point | Tenths | Hundredths |
|----------|-------------------|---------------|-----------|----------|------|------|---------------|--------|------------|
| | | | 9 | 7 | 5 | 8 | . | 2 | 2 |
---
vi. 369.21
Digits: 3, 6, 9, ., 2, 1
Place values:
- 3 → Hundreds
- 6 → Tens
- 9 → Ones
- . → Decimal point
- 2 → Tenths
- 1 → Hundredths
| Millions | Hundred thousands | Ten thousands | Thousands | Hundreds | Tens | Ones | Decimal Point | Tenths | Hundredths |
|----------|-------------------|---------------|-----------|----------|------|------|---------------|--------|------------|
| | | | | 3 | 6 | 9 | . | 2 | 1 |
---
vii. 4878.21
Digits: 4, 8, 7, 8, ., 2, 1
Place values:
- 4 → Thousands
- 8 → Hundreds
- 7 → Tens
- 8 → Ones
- . → Decimal point
- 2 → Tenths
- 1 → Hundredths
| Millions | Hundred thousands | Ten thousands | Thousands | Hundreds | Tens | Ones | Decimal Point | Tenths | Hundredths |
|----------|-------------------|---------------|-----------|----------|------|------|---------------|--------|------------|
| | | | 4 | 8 | 7 | 8 | . | 2 | 1 |
---
viii. 6974.23
Digits: 6, 9, 7, 4, ., 2, 3
Place values:
- 6 → Thousands
- 9 → Hundreds
- 7 → Tens
- 4 → Ones
- . → Decimal point
- 2 → Tenths
- 3 → Hundredths
| Millions | Hundred thousands | Ten thousands | Thousands | Hundreds | Tens | Ones | Decimal Point | Tenths | Hundredths |
|----------|-------------------|---------------|-----------|----------|------|------|---------------|--------|------------|
| | | | 6 | 9 | 7 | 4 | . | 2 | 3 |
---
ix. 62476.06
Digits: 6, 2, 4, 7, 6, ., 0, 6
Place values:
- 6 → Ten thousands
- 2 → Thousands
- 4 → Hundreds
- 7 → Tens
- 6 → Ones
- . → Decimal point
- 0 → Tenths
- 6 → Hundredths
| Millions | Hundred thousands | Ten thousands | Thousands | Hundreds | Tens | Ones | Decimal Point | Tenths | Hundredths |
|----------|-------------------|---------------|-----------|----------|------|------|---------------|--------|------------|
| | | 6 | 2 | 4 | 7 | 6 | . | 0 | 6 |
---
x. 6719.32
Digits: 6, 7, 1, 9, ., 3, 2
Place values:
- 6 → Thousands
- 7 → Hundreds
- 1 → Tens
- 9 → Ones
- . → Decimal point
- 3 → Tenths
- 2 → Hundredths
| Millions | Hundred thousands | Ten thousands | Thousands | Hundreds | Tens | Ones | Decimal Point | Tenths | Hundredths |
|----------|-------------------|---------------|-----------|----------|------|------|---------------|--------|------------|
| | | | 6 | 7 | 1 | 9 | . | 3 | 2 |
---
xi. 94758.05
Digits: 9, 4, 7, 5, 8, ., 0, 5
Place values:
- 9 → Ten thousands
- 4 → Thousands
- 7 → Hundreds
- 5 → Tens
- 8 → Ones
- . → Decimal point
- 0 → Tenths
- 5 → Hundredths
| Millions | Hundred thousands | Ten thousands | Thousands | Hundreds | Tens | Ones | Decimal Point | Tenths | Hundredths |
|----------|-------------------|---------------|-----------|----------|------|------|---------------|--------|------------|
| | | 9 | 4 | 7 | 5 | 8 | . | 0 | 5 |
---
✔ Final Answer Summary:
Here’s how all the rows should be filled:
| Number | Millions | HThou | TThou | Thou | Hund | Tens | Ones | . | Tenths | Hundrths |
|---------------|----------|-------|-------|------|------|------|------|----|--------|----------|
| 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 | . | 0 | 6 |
| x. 6719.32 | | | | 6 | 7 | 1 | 9 | . | 3 | 2 |
| xi. 94758.05 | | | 9 | 4 | 7 | 5 | 8 | . | 0 | 5 |
> 📌 Note: For any blank cells (like "Millions" or "Hundred thousands"), you can leave them empty since the number doesn't have digits in those places.
---
🔍 Explanation:
This exercise teaches place value understanding, especially for decimals. Each digit has a specific value based on its position:
- Left of decimal: powers of 10 (ones, tens, hundreds, etc.)
- Right of decimal: fractions of 10 (tenths = 1/10, hundredths = 1/100)
For example:
- In 26341.43, the '4' after the decimal is in the tenths place → means 4 tenths = 0.4
- The '3' is in hundredths → 3 hundredths = 0.03
This helps students understand how decimals represent parts of a whole.
Let me know if you'd like a printable version or an explanation with visual aids!
Parent Tip: Review the logic above to help your child master the concept of place value worksheet with decimals for 5th grade.