Expanded notation and Place Value of 4 digit numbers using ... - Free Printable

Problem Overview:

The task involves completing a table that relates expanded notation and place value for given numbers. Here's a breakdown of what needs to be done:

1. Expanded Notation: Write each number as the sum of its place values.
2. Place Value: Identify the specific place value (e.g., hundreds, thousands, tens, ones) for the digit in question.

Solution Approach:

We will go through each number step by step, breaking it down into its expanded notation and identifying the requested place value.

---

#### 1. Number: 1,321
- Expanded Notation:
\( 1,000 + 300 + 20 + 1 \)
- Place Value:
The digit in the hundreds place is 3.
Answer: 3 hundreds

---

#### 2. Number: 3,123
- Expanded Notation:
\( 3,000 + 100 + 20 + 3 \)
- Place Value:
The digit in the thousands place is 3.
Answer: 3 thousands

---

#### 3. Number: 4,678
- Expanded Notation:
\( 4,000 + 600 + 70 + 8 \)
- Place Value:
The digit in the tens place is 7.
Answer: 7 tens

---

#### 4. Number: 6,908
- Expanded Notation:
\( 6,000 + 900 + 0 + 8 \)
- Place Value:
The digit in the ones place is 8.
Answer: 8 ones

---

#### 5. Number: 2,900
- Expanded Notation:
\( 2,000 + 900 + 0 + 0 \)
- Place Value:
The digit in the thousands place is 2.
Answer: 2 thousands

---

#### 6. Number: 1,910
- Expanded Notation:
\( 1,000 + 900 + 10 + 0 \)
- Place Value:
The digit in the hundreds place is 9.
Answer: 9 hundreds

---

#### 7. Number: 9,543
- Expanded Notation:
\( 9,000 + 500 + 40 + 3 \)
- Place Value:
The digit in the ones place is 3.
Answer: 3 ones

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#### 8. Number: 2,375
- Expanded Notation:
\( 2,000 + 300 + 70 + 5 \)
- Place Value:
The digit in the tens place is 7.
Answer: 7 tens

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#### 9. Number: 4,842
- Expanded Notation:
\( 4,000 + 800 + 40 + 2 \)
- Place Value:
The digit in the hundreds place is 8.
Answer: 8 hundreds

---

#### 10. Number: 3,714
- Expanded Notation:
\( 3,000 + 700 + 10 + 4 \)
- Place Value:
The digit in the ones place is 4.
Answer: 4 ones

---

#### 11. Number: 8,719
- Expanded Notation:
\( 8,000 + 700 + 10 + 9 \)
- Place Value:
The digit in the thousands place is 8.
Answer: 8 thousands

---

Final Answer:

Here is the completed table:

| Number | Expanded Notation | Place Value |
|----------|----------------------------------|-------------------|
| 1,321 | 1,000 + 300 + 20 + 1 | 3 hundreds |
| 3,123 | 3,000 + 100 + 20 + 3 | 3 thousands |
| 4,678 | 4,000 + 600 + 70 + 8 | 7 tens |
| 6,908 | 6,000 + 900 + 0 + 8 | 8 ones |
| 2,900 | 2,000 + 900 + 0 + 0 | 2 thousands |
| 1,910 | 1,000 + 900 + 10 + 0 | 9 hundreds |
| 9,543 | 9,000 + 500 + 40 + 3 | 3 ones |
| 2,375 | 2,000 + 300 + 70 + 5 | 7 tens |
| 4,842 | 4,000 + 800 + 40 + 2 | 8 hundreds |
| 3,714 | 3,000 + 700 + 10 + 4 | 4 ones |
| 8,719 | 8,000 + 700 + 10 + 9 | 8 thousands |

Final Answer Boxed:
\[
\boxed{
\begin{array}{|c|c|c|}
\hline
\text{Number} & \text{Expanded Notation} & \text{Place Value} \\
\hline
1,321 & 1,000 + 300 + 20 + 1 & 3 \text{ hundreds} \\
3,123 & 3,000 + 100 + 20 + 3 & 3 \text{ thousands} \\
4,678 & 4,000 + 600 + 70 + 8 & 7 \text{ tens} \\
6,908 & 6,000 + 900 + 0 + 8 & 8 \text{ ones} \\
2,900 & 2,000 + 900 + 0 + 0 & 2 \text{ thousands} \\
1,910 & 1,000 + 900 + 10 + 0 & 9 \text{ hundreds} \\
9,543 & 9,000 + 500 + 40 + 3 & 3 \text{ ones} \\
2,375 & 2,000 + 300 + 70 + 5 & 7 \text{ tens} \\
4,842 & 4,000 + 800 + 40 + 2 & 8 \text{ hundreds} \\
3,714 & 3,000 + 700 + 10 + 4 & 4 \text{ ones} \\
8,719 & 8,000 + 700 + 10 + 9 & 8 \text{ thousands} \\
\hline
\end{array}
}
\]