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.
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 go through each number and write the digits in the correct columns.
---
Already filled in:
```
Ten thousands: 2
Thousands: 6
Hundreds: 3
Tens: 4
Ones: 1
Tenths: 4
Hundredths: 3
```
✔ Correct!
---
Break it down:
- 6 → Ten thousands
- 3 → Thousands
- 2 → Hundreds
- 1 → Tens
- 4 → Ones
- .2 → Tenths
- .4 → Hundredths
So:
```
Millions:
Hundred thousands:
Ten thousands: 6
Thousands: 3
Hundreds: 2
Tens: 1
Ones: 4
Decimal Point: •
Tenths: 2
Hundredths: 4
```
---
- 7 → Thousands
- 8 → Hundreds
- 4 → Tens
- 5 → Ones
- .0 → Tenths
- .2 → Hundredths
```
Millions:
Hundred thousands:
Ten thousands:
Thousands: 7
Hundreds: 8
Tens: 4
Ones: 5
Decimal Point: •
Tenths: 0
Hundredths: 2
```
---
- 6 → Hundreds
- 3 → Tens
- 5 → Ones
- .1 → Tenths
- .4 → Hundredths
```
Millions:
Hundred thousands:
Ten thousands:
Thousands:
Hundreds: 6
Tens: 3
Ones: 5
Decimal Point: •
Tenths: 1
Hundredths: 4
```
---
- 9 → Thousands
- 7 → Hundreds
- 5 → Tens
- 8 → Ones
- .2 → Tenths
- .2 → Hundredths
```
Millions:
Hundred thousands:
Ten thousands:
Thousands: 9
Hundreds: 7
Tens: 5
Ones: 8
Decimal Point: •
Tenths: 2
Hundredths: 2
```
---
- 3 → Hundreds
- 6 → Tens
- 9 → Ones
- .2 → Tenths
- .1 → Hundredths
```
Millions:
Hundred thousands:
Ten thousands:
Thousands:
Hundreds: 3
Tens: 6
Ones: 9
Decimal Point: •
Tenths: 2
Hundredths: 1
```
---
- 4 → Thousands
- 8 → Hundreds
- 7 → Tens
- 8 → Ones
- .2 → Tenths
- .1 → Hundredths
```
Millions:
Hundred thousands:
Ten thousands:
Thousands: 4
Hundreds: 8
Tens: 7
Ones: 8
Decimal Point: •
Tenths: 2
Hundredths: 1
```
---
- 6 → Thousands
- 9 → Hundreds
- 7 → Tens
- 4 → Ones
- .2 → Tenths
- .3 → Hundredths
```
Millions:
Hundred thousands:
Ten thousands:
Thousands: 6
Hundreds: 9
Tens: 7
Ones: 4
Decimal Point: •
Tenths: 2
Hundredths: 3
```
---
- 6 → Ten thousands
- 2 → Thousands
- 4 → Hundreds
- 7 → Tens
- 6 → Ones
- .0 → Tenths
- .6 → Hundredths
```
Millions:
Hundred thousands:
Ten thousands: 6
Thousands: 2
Hundreds: 4
Tens: 7
Ones: 6
Decimal Point: •
Tenths: 0
Hundredths: 6
```
---
- 6 → Thousands
- 7 → Hundreds
- 1 → Tens
- 9 → Ones
- .3 → Tenths
- .2 → Hundredths
```
Millions:
Hundred thousands:
Ten thousands:
Thousands: 6
Hundreds: 7
Tens: 1
Ones: 9
Decimal Point: •
Tenths: 3
Hundredths: 2
```
---
- 9 → Ten thousands
- 4 → Thousands
- 7 → Hundreds
- 5 → Tens
- 8 → Ones
- .0 → Tenths
- .5 → Hundredths
```
Millions:
Hundred thousands:
Ten thousands: 9
Thousands: 4
Hundreds: 7
Tens: 5
Ones: 8
Decimal Point: •
Tenths: 0
Hundredths: 5
```
---
| Number | Millions | HTh | TTh | Th | H | T | O | • | T | H |
|--------------|----------|-----|-----|----|---|---|---|---|---|---|
| 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: "HTh" = Hundred thousands, "TTh" = Ten thousands, "Th" = Thousands, etc.
---
Each digit is placed in the column that matches its place value:
- To the left of the decimal point: whole numbers (ones, tens, hundreds, etc.)
- To the right of the decimal point: decimal parts (tenths, hundredths)
This helps understand the value of each digit in the number.
For example:
- In 26341.43, the '4' in tenths place means 4/10 = 0.4
- The '3' in hundredths means 3/100 = 0.03
So the full number is:
> 2×10000 + 6×1000 + 3×100 + 4×10 + 1×1 + 4×0.1 + 3×0.01 = 26341.43
---
Let me know if you'd like this as a printable table or with explanations for each number!
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 go through each number and write the digits in the correct columns.
---
i. 26341.43
Already filled in:
```
Ten thousands: 2
Thousands: 6
Hundreds: 3
Tens: 4
Ones: 1
Tenths: 4
Hundredths: 3
```
✔ Correct!
---
ii. 63214.24
Break it down:
- 6 → Ten thousands
- 3 → Thousands
- 2 → Hundreds
- 1 → Tens
- 4 → Ones
- .2 → Tenths
- .4 → Hundredths
So:
```
Millions:
Hundred thousands:
Ten thousands: 6
Thousands: 3
Hundreds: 2
Tens: 1
Ones: 4
Decimal Point: •
Tenths: 2
Hundredths: 4
```
---
iii. 7845.02
- 7 → Thousands
- 8 → Hundreds
- 4 → Tens
- 5 → Ones
- .0 → Tenths
- .2 → Hundredths
```
Millions:
Hundred thousands:
Ten thousands:
Thousands: 7
Hundreds: 8
Tens: 4
Ones: 5
Decimal Point: •
Tenths: 0
Hundredths: 2
```
---
iv. 635.14
- 6 → Hundreds
- 3 → Tens
- 5 → Ones
- .1 → Tenths
- .4 → Hundredths
```
Millions:
Hundred thousands:
Ten thousands:
Thousands:
Hundreds: 6
Tens: 3
Ones: 5
Decimal Point: •
Tenths: 1
Hundredths: 4
```
---
v. 9758.22
- 9 → Thousands
- 7 → Hundreds
- 5 → Tens
- 8 → Ones
- .2 → Tenths
- .2 → Hundredths
```
Millions:
Hundred thousands:
Ten thousands:
Thousands: 9
Hundreds: 7
Tens: 5
Ones: 8
Decimal Point: •
Tenths: 2
Hundredths: 2
```
---
vi. 369.21
- 3 → Hundreds
- 6 → Tens
- 9 → Ones
- .2 → Tenths
- .1 → Hundredths
```
Millions:
Hundred thousands:
Ten thousands:
Thousands:
Hundreds: 3
Tens: 6
Ones: 9
Decimal Point: •
Tenths: 2
Hundredths: 1
```
---
vii. 4878.21
- 4 → Thousands
- 8 → Hundreds
- 7 → Tens
- 8 → Ones
- .2 → Tenths
- .1 → Hundredths
```
Millions:
Hundred thousands:
Ten thousands:
Thousands: 4
Hundreds: 8
Tens: 7
Ones: 8
Decimal Point: •
Tenths: 2
Hundredths: 1
```
---
viii. 6974.23
- 6 → Thousands
- 9 → Hundreds
- 7 → Tens
- 4 → Ones
- .2 → Tenths
- .3 → Hundredths
```
Millions:
Hundred thousands:
Ten thousands:
Thousands: 6
Hundreds: 9
Tens: 7
Ones: 4
Decimal Point: •
Tenths: 2
Hundredths: 3
```
---
ix. 62476.06
- 6 → Ten thousands
- 2 → Thousands
- 4 → Hundreds
- 7 → Tens
- 6 → Ones
- .0 → Tenths
- .6 → Hundredths
```
Millions:
Hundred thousands:
Ten thousands: 6
Thousands: 2
Hundreds: 4
Tens: 7
Ones: 6
Decimal Point: •
Tenths: 0
Hundredths: 6
```
---
x. 6719.32
- 6 → Thousands
- 7 → Hundreds
- 1 → Tens
- 9 → Ones
- .3 → Tenths
- .2 → Hundredths
```
Millions:
Hundred thousands:
Ten thousands:
Thousands: 6
Hundreds: 7
Tens: 1
Ones: 9
Decimal Point: •
Tenths: 3
Hundredths: 2
```
---
xi. 94758.05
- 9 → Ten thousands
- 4 → Thousands
- 7 → Hundreds
- 5 → Tens
- 8 → Ones
- .0 → Tenths
- .5 → Hundredths
```
Millions:
Hundred thousands:
Ten thousands: 9
Thousands: 4
Hundreds: 7
Tens: 5
Ones: 8
Decimal Point: •
Tenths: 0
Hundredths: 5
```
---
✔ Final Answer Table:
| Number | Millions | HTh | TTh | Th | H | T | O | • | T | H |
|--------------|----------|-----|-----|----|---|---|---|---|---|---|
| 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: "HTh" = Hundred thousands, "TTh" = Ten thousands, "Th" = Thousands, etc.
---
✔ Explanation:
Each digit is placed in the column that matches its place value:
- To the left of the decimal point: whole numbers (ones, tens, hundreds, etc.)
- To the right of the decimal point: decimal parts (tenths, hundredths)
This helps understand the value of each digit in the number.
For example:
- In 26341.43, the '4' in tenths place means 4/10 = 0.4
- The '3' in hundredths means 3/100 = 0.03
So the full number is:
> 2×10000 + 6×1000 + 3×100 + 4×10 + 1×1 + 4×0.1 + 3×0.01 = 26341.43
---
Let me know if you'd like this as a printable table or with explanations for each number!
Parent Tip: Review the logic above to help your child master the concept of decimal place value worksheet.