The question in the image asks: "Which place value do you use to compare 437,812 and 432,729?"

The correct answer is "Ten thousands".

Explanation:

• To compare two numbers, you start by comparing their highest place value. In this case, the numbers 437,812 and 432,729 have the same number of digits and both start with 4 in the hundred thousand's place.
• Next, we move to the ten thousand's place:
  • In 437,812, the digit in the ten thousand's place is 3.
  • In 432,729, the digit in the ten thousand's place is 3 as well.
• If the digits in the ten thousand's place were different, you would compare based on those. However, since they are the same, you move to the next place (thousands), and so on until you find a difference.

Would you like more details or have any other questions?

Here are 5 related questions you might find useful:

1. What is place value, and why is it important for comparing numbers?
2. How would you compare numbers if they have the same digits in both the hundred thousand and ten thousand places?
3. Can you compare two numbers without using place value?
4. What happens when two numbers have the same digits up to the hundred's place?
5. What is the role of the thousands and hundreds place when comparing large numbers?

Tip: When comparing numbers, always start from the highest place value and move towards the right until you find a difference!