Place value math worksheet for students to practice identifying digit values and constructing large numbers.

Problem Analysis:

The worksheet is divided into two main sections:
1. Identifying the place value of circled digits in given numbers.
2. Constructing a 12-digit number based on specific place value instructions.

Let's solve each section step by step.

---

Section 1: Name the value of the circled digit in each number

#### Step-by-Step Solution:
We need to identify the place value of each circled digit in the provided numbers.

1. 45,319: The circled digit is 4.
- Place value: Ten thousands
- Value: \( 4 \times 10,000 = 40,000 \)

2. 319,219: The circled digit is 9.
- Place value: Ones
- Value: \( 9 \times 1 = 9 \)

3. 56.391: The circled digit is 9.
- Place value: Hundredths
- Value: \( 9 \times 0.01 = 0.09 \)

4. 415,3291.3: The circled digit is 1.
- Place value: Thousands
- Value: \( 1 \times 1,000 = 1,000 \)

5. 5193,367: The circled digit is 5.
- Place value: Millions
- Value: \( 5 \times 1,000,000 = 5,000,000 \)

6. 84990,219: The circled digit is 9.
- Place value: Thousands
- Value: \( 9 \times 1,000 = 9,000 \)

7. 419,430,331: The circled digit is 1.
- Place value: Ten millions
- Value: \( 1 \times 10,000,000 = 10,000,000 \)

8. 3,771,395,331: The circled digit is 3.
- Place value: Hundreds
- Value: \( 3 \times 100 = 300 \)

9. 5938,306,221: The circled digit is 5.
- Place value: Billions
- Value: \( 5 \times 1,000,000,000 = 5,000,000,000 \)

10. 892,386,190,223: The circled digit is 8.
- Place value: Hundreds billions
- Value: \( 8 \times 100,000,000,000 = 800,000,000,000 \)

#### Final Answers for Section 1:
\[
\begin{aligned}
&\text{1. } 40,000 \\
&\text{2. } 9 \\
&\text{3. } 0.09 \\
&\text{4. } 1,000 \\
&\text{5. } 5,000,000 \\
&\text{6. } 9,000 \\
&\text{7. } 10,000,000 \\
&\text{8. } 300 \\
&\text{9. } 5,000,000,000 \\
&\text{10. } 800,000,000,000
\end{aligned}
\]

---

Section 2: Write a 12-digit number with the following digits in the correct places

#### Instructions:
- 6 in the hundred thousands
- 2 in the ten billions
- 0 in the hundred millions
- 5 in the hundreds
- 9 in the billions

#### Step-by-Step Solution:
To construct the 12-digit number, we need to place the given digits in their respective place values and fill the remaining places with zeros.

1. Ten billions place: 2
2. Billions place: 9
3. Hundred millions place: 0
4. Ten millions place: 0 (since no digit is specified)
5. Millions place: 0 (since no digit is specified)
6. Hundred thousands place: 6
7. Ten thousands place: 0 (since no digit is specified)
8. Thousands place: 0 (since no digit is specified)
9. Hundreds place: 5
10. Tens place: 0 (since no digit is specified)
11. Ones place: 0 (since no digit is specified)

Thus, the 12-digit number is:
\[
29,060,050,000
\]

#### Final Answer for Section 2:
\[
\boxed{29,060,050,000}
\]

---

Final Summary:

1. Section 1 Answers:
\[
\begin{aligned}
&\text{1. } 40,000 \\
&\text{2. } 9 \\
&\text{3. } 0.09 \\
&\text{4. } 1,000 \\
&\text{5. } 5,000,000 \\
&\text{6. } 9,000 \\
&\text{7. } 10,000,000 \\
&\text{8. } 300 \\
&\text{9. } 5,000,000,000 \\
&\text{10. } 800,000,000,000
\end{aligned}
\]

2. Section 2 Answer:
\[
\boxed{29,060,050,000}
\]