Place Value - Worksheet Digital - Free Printable

Problem Analysis:

The worksheet is about understanding number and place value. It involves identifying the place value of digits in a number and writing numbers based on their place values.

#### Part 1: Identifying Place Values and Values of Digits
The given number is 8037. The place value chart is as follows:

| Thousands | Hundreds | Tens | Ones |
|-----------|----------|------|------|
| 8 | 0 | 3 | 7 |

We need to identify the place value and the value of each digit.

#### Part 2: Writing Numbers Based on Place Values
We are given descriptions of numbers in terms of their place values (e.g., "3 thousands 5 ones") and need to write the corresponding numerical values.

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Solution:

#### Part 1: Identifying Place Values and Values of Digits

1. a) The digit 8 is in the ________ place.
- The digit 8 is in the Thousands place.
- Value of the digit: Since it is in the Thousands place, its value is \( 8 \times 1000 = 8000 \).

Answer:
- Place: Thousands
- Value: 8000

2. b) The digit 0 is in the ________ place.
- The digit 0 is in the Hundreds place.
- Value of the digit: Since it is in the Hundreds place, its value is \( 0 \times 100 = 0 \).

Answer:
- Place: Hundreds
- Value: 0

3. c) The digit 3 is in the ________ place.
- The digit 3 is in the Tens place.
- Value of the digit: Since it is in the Tens place, its value is \( 3 \times 10 = 30 \).

Answer:
- Place: Tens
- Value: 30

4. d) The digit 7 is in the ________ place.
- The digit 7 is in the Ones place.
- Value of the digit: Since it is in the Ones place, its value is \( 7 \times 1 = 7 \).

Answer:
- Place: Ones
- Value: 7

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#### Part 2: Writing Numbers Based on Place Values

1. a) 3 thousands 5 ones
- Thousands place: 3
- Hundreds place: 0 (no hundreds mentioned)
- Tens place: 0 (no tens mentioned)
- Ones place: 5
- Number: 3005

2. b) 4 thousands 9 hundreds 4 ones
- Thousands place: 4
- Hundreds place: 9
- Tens place: 0 (no tens mentioned)
- Ones place: 4
- Number: 4904

3. c) 2 thousands 3 hundreds 4 tens 5 ones
- Thousands place: 2
- Hundreds place: 3
- Tens place: 4
- Ones place: 5
- Number: 2345

4. d) 9 thousands 6 ones
- Thousands place: 9
- Hundreds place: 0 (no hundreds mentioned)
- Tens place: 0 (no tens mentioned)
- Ones place: 6
- Number: 9006

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Final Answers:

#### Part 1:
1. a) Place: Thousands, Value: 8000
2. b) Place: Hundreds, Value: 0
3. c) Place: Tens, Value: 30
4. d) Place: Ones, Value: 7

#### Part 2:
1. a) 3005
2. b) 4904
3. c) 2345
4. d) 9006

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Boxed Final Answer:

\[
\boxed{
\begin{array}{l}
\text{Part 1:} \\
\text{a) Thousands, 8000} \\
\text{b) Hundreds, 0} \\
\text{c) Tens, 30} \\
\text{d) Ones, 7} \\
\\
\text{Part 2:} \\
\text{a) 3005} \\
\text{b) 4904} \\
\text{c) 2345} \\
\text{d) 9006}
\end{array}
}
\]