Place Value Worksheets: Billions - Free Printable

Problem Analysis:

The worksheet focuses on understanding place value in large numbers. The task involves identifying the value of specific digits in given numbers and answering questions about the largest and smallest values in a provided number.

#### Key Concepts:
1. Place Value: Each digit in a number has a value based on its position (e.g., ones, tens, hundreds, thousands, etc.).
2. Understanding Large Numbers: Numbers can extend into millions, billions, trillions, etc.
3. Identifying Digits: Recognizing the value of a digit based on its position in the number.

---

Step-by-Step Solution:

#### Part 1: Write the value of the underlined digit
We are given several numbers with underlined digits. For each, we need to determine the place value of the underlined digit.

1. 6,463,271,390 - The value of the digit 6 is 6 billion.
- Explanation: The digit 6 is in the billions place, so its value is \(6 \times 1,000,000,000 = 6,000,000,000\).

2. 6,463,271,390 - The value of the digit 4 is 4 hundred million.
- Explanation: The digit 4 is in the hundred millions place, so its value is \(4 \times 100,000,000 = 400,000,000\).

3. 6,463,271,390 - The value of the digit 6 is 6 ten million.
- Explanation: The digit 6 is in the ten millions place, so its value is \(6 \times 10,000,000 = 60,000,000\).

4. 6,463,271,390 - The value of the digit 3 is 3 million.
- Explanation: The digit 3 is in the millions place, so its value is \(3 \times 1,000,000 = 3,000,000\).

5. 6,463,271,390 - The value of the digit 2 is 2 hundred thousand.
- Explanation: The digit 2 is in the hundred thousands place, so its value is \(2 \times 100,000 = 200,000\).

6. 6,463,271,390 - The value of the digit 7 is 7 ten thousand.
- Explanation: The digit 7 is in the ten thousands place, so its value is \(7 \times 10,000 = 70,000\).

7. 6,463,271,390 - The value of the digit 3 is 3 thousands.
- Explanation: The digit 3 is in the thousands place, so its value is \(3 \times 1,000 = 3,000\).

8. 6,463,271,390 - The value of the digit 1 is 1 hundreds.
- Explanation: The digit 1 is in the hundreds place, so its value is \(1 \times 100 = 100\).

9. 6,463,271,390 - The value of the digit 3 is 3 tens.
- Explanation: The digit 3 is in the tens place, so its value is \(3 \times 10 = 30\).

10. 6,463,271,390 - The value of the digit 0 is 0 ones.
- Explanation: The digit 0 is in the ones place, so its value is \(0 \times 1 = 0\).

---

#### Part 2: Write the value of the underlined digit for the following numbers
We are given additional numbers with underlined digits. We need to identify their place values.

1. 9,029,573,618 - The underlined digit is 9.
- Place: Billions place
- Value: \(9 \times 1,000,000,000 = 9,000,000,000\)

2. 3,074,859,142 - The underlined digit is 3.
- Place: Billions place
- Value: \(3 \times 1,000,000,000 = 3,000,000,000\)

3. 3,157,908,692 - The underlined digit is 1.
- Place: Hundred millions place
- Value: \(1 \times 100,000,000 = 100,000,000\)

4. 83,370,612 - The underlined digit is 8.
- Place: Ten millions place
- Value: \(8 \times 10,000,000 = 80,000,000\)

5. 120,672,903 - The underlined digit is 2.
- Place: Millions place
- Value: \(2 \times 1,000,000 = 2,000,000\)

6. 6,921,982,237 - The underlined digit is 9.
- Place: Hundred millions place
- Value: \(9 \times 100,000,000 = 900,000,000\)

7. 809,506,030 - The underlined digit is 8.
- Place: Millions place
- Value: \(8 \times 1,000,000 = 8,000,000\)

8. 3,860,950,971 - The underlined digit is 8.
- Place: Hundred millions place
- Value: \(8 \times 100,000,000 = 800,000,000\)

---

#### Part 3: Analyze the number 2,031,547,698
We are given the number 2,031,547,698 and asked to answer questions about it.

1. Which digit has the greatest value?
- The digit 2 is in the billions place, which has the highest place value.
- Answer: 2

2. Which digit has the least value?
- The digit 0 is in the hundred millions place, and since it is zero, it has the least value.
- Answer: 0

3. What is the value of the digit in the ten millions place?
- The digit in the ten millions place is 3.
- Its value is \(3 \times 10,000,000 = 30,000,000\).
- Answer: 30,000,000

4. What is the value of the digit in the billions place?
- The digit in the billions place is 2.
- Its value is \(2 \times 1,000,000,000 = 2,000,000,000\).
- Answer: 2,000,000,000

---

Final Answers:

1. Part 1: Values of underlined digits as explained above.
2. Part 2:
- a. 9,000,000,000
- b. 3,000,000,000
- c. 100,000,000
- d. 80,000,000
- e. 2,000,000
- f. 900,000,000
- g. 8,000,000
- h. 800,000,000
3. Part 3:
- i. 2
- j. 0
- k. 30,000,000
- l. 2,000,000,000

Boxed Final Answer:
\[
\boxed{2, 0, 30,000,000, 2,000,000,000}
\]