To round the numbers to the place value of the underlined digits, let's analyze each number:

4. 5,792,400: The underlined digit is 7.

   • Place Value: Hundred thousands (100,000).
   • Number: 5,792,400. To round to the nearest hundred thousand, we look at the digit in the ten thousand place, which is 9. Since it's 5 or higher, we round up.
   • Rounded Number: 5,800,000.

5. 4,566,900: The underlined digit is 5.

   • Place Value: Hundred thousands (100,000).
   • Number: 4,566,900. To round to the nearest hundred thousand, we look at the digit in the ten thousand place, which is 6. Since it's 5 or higher, we round up.
   • Rounded Number: 4,600,000.

6. 3,940,629: The underlined digit is 6.

   • Place Value: Thousands (1,000).
   • Number: 3,940,629. To round to the nearest thousand, we look at the digit in the hundreds place, which is 6. Since it's 5 or higher, we round up.
   • Rounded Number: 3,941,000.

7. 9,576,900: The underlined digit is 5.

   • Place Value: Hundred thousands (100,000).
   • Number: 9,576,900. To round to the nearest hundred thousand, we look at the digit in the ten thousand place, which is 7. Since it's 5 or higher, we round up.
   • Rounded Number: 9,600,000.

8. 566,835: The underlined digit is 8.

   • Place Value: Hundreds (100).
   • Number: 566,835. To round to the nearest hundred, we look at the digit in the tens place, which is 3. Since it's less than 5, we round down.
   • Rounded Number: 566,800.

Would you like further details or have any other questions?

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Here are 8 related questions you might consider:

1. How would rounding change if the digits to the right were all zeros?
2. What is the difference between rounding to the nearest thousand and rounding to the nearest ten thousand?
3. How does rounding to different place values affect the accuracy of a number?
4. Can you explain how rounding is used in financial statements?
5. What is the impact of rounding on large data sets?
6. How would you round the number 12,549 to the nearest thousand?
7. How does rounding affect the precision of scientific measurements?
8. What are the different methods of rounding, such as rounding up or down, and how are they applied?

Tip: Always remember that rounding up increases the number to the next place value, while rounding down keeps it at the current place value.