Place Value Riddles 5A - A math worksheet for students to solve riddles using place value knowledge with large numbers.

Problem Analysis:

The task involves analyzing a set of numbers and categorizing them based on specific criteria. The categories are:

1. I am larger than 3 million: Numbers greater than 3,000,000.
2. My largest digit is an odd number: Numbers where the largest digit in the number is odd (e.g., 1, 3, 5, 7, 9).
3. I am less than half a million: Numbers less than 500,000.
4. How many digits are quarters of a million?: Numbers that have exactly 6 digits (since a quarter of a million is 250,000, which has 6 digits).

The provided numbers are:
- 3,214,108
- 2,855,108
- 3,893,100
- 4,235,155
- 1,217,103
- 3,584,325
- 10,391,801
- 4,110,183
- 147,263
- 1,126,311
- 4,383,215
- 816,277
- 233,117
- 415,532
- 379,513
- 2,130,717

Solution Approach:

We will evaluate each number against the given criteria and place them into the appropriate categories.

---

#### Category 1: I am larger than 3 million
Numbers greater than 3,000,000:
- 3,214,108
- 3,893,100
- 4,235,155
- 3,584,325
- 10,391,801
- 4,110,183
- 4,383,215
- 2,130,717

Result for Category 1:
- 3,214,108
- 3,893,100
- 4,235,155
- 3,584,325
- 10,391,801
- 4,110,183
- 4,383,215
- 2,130,717

---

#### Category 2: My largest digit is an odd number
Numbers where the largest digit is odd:
- 3,214,108 (largest digit is 8, even)
- 2,855,108 (largest digit is 8, even)
- 3,893,100 (largest digit is 9, odd)
- 4,235,155 (largest digit is 5, odd)
- 1,217,103 (largest digit is 7, odd)
- 3,584,325 (largest digit is 8, even)
- 10,391,801 (largest digit is 9, odd)
- 4,110,183 (largest digit is 4, even)
- 147,263 (largest digit is 7, odd)
- 1,126,311 (largest digit is 6, even)
- 4,383,215 (largest digit is 8, even)
- 816,277 (largest digit is 8, even)
- 233,117 (largest digit is 7, odd)
- 415,532 (largest digit is 5, odd)
- 379,513 (largest digit is 9, odd)
- 2,130,717 (largest digit is 7, odd)

Result for Category 2:
- 3,893,100
- 4,235,155
- 1,217,103
- 10,391,801
- 147,263
- 233,117
- 415,532
- 379,513
- 2,130,717

---

#### Category 3: I am less than half a million
Numbers less than 500,000:
- 147,263
- 1,126,311 (greater than 500,000)
- 816,277 (greater than 500,000)
- 233,117
- 415,532
- 379,513

Result for Category 3:
- 147,263
- 233,117
- 415,532
- 379,513

---

#### Category 4: How many digits are quarters of a million?
Numbers with exactly 6 digits (since a quarter of a million is 250,000, which has 6 digits):
- 3,214,108 (7 digits)
- 2,855,108 (7 digits)
- 3,893,100 (7 digits)
- 4,235,155 (7 digits)
- 1,217,103 (7 digits)
- 3,584,325 (7 digits)
- 10,391,801 (8 digits)
- 4,110,183 (7 digits)
- 147,263 (6 digits)
- 1,126,311 (7 digits)
- 4,383,215 (7 digits)
- 816,277 (6 digits)
- 233,117 (6 digits)
- 415,532 (6 digits)
- 379,513 (6 digits)
- 2,130,717 (7 digits)

Result for Category 4:
- 147,263
- 816,277
- 233,117
- 415,532
- 379,513

---

Final Answer:

1. I am larger than 3 million:
{3,214,108, 3,893,100, 4,235,155, 3,584,325, 10,391,801, 4,110,183, 4,383,215, 2,130,717}

2. My largest digit is an odd number:
{3,893,100, 4,235,155, 1,217,103, 10,391,801, 147,263, 233,117, 415,532, 379,513, 2,130,717}

3. I am less than half a million:
{147,263, 233,117, 415,532, 379,513}

4. How many digits are quarters of a million:
{147,263, 816,277, 233,117, 415,532, 379,513}

Boxed Final Answer:
\[
\boxed{
\begin{aligned}
1. & \{3,214,108, 3,893,100, 4,235,155, 3,584,325, 10,391,801, 4,110,183, 4,383,215, 2,130,717\} \\
2. & \{3,893,100, 4,235,155, 1,217,103, 10,391,801, 147,263, 233,117, 415,532, 379,513, 2,130,717\} \\
3. & \{147,263, 233,117, 415,532, 379,513\} \\
4. & \{147,263, 816,277, 233,117, 415,532, 379,513\}
\end{aligned}
}
\]