Place value to 10,000,000 | 4th grade Math Worksheet | GreatSchools - Free Printable

Problem Analysis:

The task involves understanding place values in large numbers and performing basic arithmetic operations. The goal is to determine the value of specific digits in given numbers and answer questions about their place values.

Step-by-Step Solution:

#### Part 1: Understanding Place Values

1. What is the value of the 9 in 7,000?
- The number 7,000 has a "9" in the thousands place.
- The value of the digit "9" in the thousands place is \( 9 \times 1,000 = 9,000 \).

2. What is the value of the 8 in 358?
- The number 358 has an "8" in the ones place.
- The value of the digit "8" in the ones place is \( 8 \times 1 = 8 \).

3. How many hundreds are there in 4,600?
- The number 4,600 has "46" in the hundreds place.
- To find how many hundreds are in 4,600, divide by 100: \( 4,600 \div 100 = 46 \).
- Therefore, there are 46 hundreds in 4,600.

4. What is the value of the 6 in 6,000?
- The number 6,000 has a "6" in the thousands place.
- The value of the digit "6" in the thousands place is \( 6 \times 1,000 = 6,000 \).

5. How many tens are there in 1,250?
- The number 1,250 has "125" in the tens place.
- To find how many tens are in 1,250, divide by 10: \( 1,250 \div 10 = 125 \).
- Therefore, there are 125 tens in 1,250.

6. How many hundreds are there in 4,650?
- The number 4,650 has "46" in the hundreds place.
- To find how many hundreds are in 4,650, divide by 100: \( 4,650 \div 100 = 46.5 \).
- Since we are counting whole hundreds, there are 46 hundreds in 4,650.

7. How many tens are there in 2,630?
- The number 2,630 has "263" in the tens place.
- To find how many tens are in 2,630, divide by 10: \( 2,630 \div 10 = 263 \).
- Therefore, there are 263 tens in 2,630.

8. What is the value of the 2 in these three numbers?
- Numbers: 26, 2,112, 74,220
- In 26: The "2" is in the tens place, so its value is \( 2 \times 10 = 20 \).
- In 2,112: The "2" is in the thousands place, so its value is \( 2 \times 1,000 = 2,000 \).
- In 74,220: The "2" is in the hundreds place, so its value is \( 2 \times 100 = 200 \).

9. What is the value of the 3 in these three numbers?
- Numbers: 324,210, 3,921,181, 21,311,099
- In 324,210: The "3" is in the hundred-thousands place, so its value is \( 3 \times 100,000 = 300,000 \).
- In 3,921,181: The "3" is in the millions place, so its value is \( 3 \times 1,000,000 = 3,000,000 \).
- In 21,311,099: The "3" is in the hundred-thousands place, so its value is \( 3 \times 100,000 = 300,000 \).

10. How many hundreds are there in these three numbers?
- Numbers: 8,602, 19,602, 528,602
- In 8,602: Divide by 100: \( 8,602 \div 100 = 86.02 \). There are 86 hundreds.
- In 19,602: Divide by 100: \( 19,602 \div 100 = 196.02 \). There are 196 hundreds.
- In 528,602: Divide by 100: \( 528,602 \div 100 = 5,286.02 \). There are 5,286 hundreds.

11. What is the value of the 8 in these three numbers?
- Numbers: 8,214,631, 2,398,147, 267,214
- In 8,214,631: The "8" is in the millions place, so its value is \( 8 \times 1,000,000 = 8,000,000 \).
- In 2,398,147: The "8" is in the ten-thousands place, so its value is \( 8 \times 10,000 = 80,000 \).
- In 267,214: The "8" is not present in this number, so its value is \( 0 \).

Final Answers:

1. \( \boxed{9,000} \)
2. \( \boxed{8} \)
3. \( \boxed{46} \)
4. \( \boxed{6,000} \)
5. \( \boxed{125} \)
6. \( \boxed{46} \)
7. \( \boxed{263} \)
8. \( \boxed{20, 2,000, 200} \)
9. \( \boxed{300,000, 3,000,000, 300,000} \)
10. \( \boxed{86, 196, 5,286} \)
11. \( \boxed{8,000,000, 80,000, 0} \)

Explanation:

Each step involves identifying the place value of a digit in a number and calculating its corresponding value. For questions about how many hundreds or tens are in a number, division by 100 or 10 is used, respectively. This ensures accuracy in determining the exact contribution of each digit to the overall number.