To make the value of the digit 9 one-tenth as great in the number 957,648, you need to move the 9 to a position where its place value is 10 times less than its current value.

The current value of the digit 9 in 957,648 is in the hundred-thousands place, so it represents 900,000.

To make it one-tenth as great, we need to move the 9 to a position where its value is 90,000, which is the ten-thousands place.

Here's how you can rearrange the digits:

• Swap the 9 with the digit in the ten-thousands place, which is 5.

The number becomes 597,648. Now, the value of 9 is 90,000, which is 1/10 of its original value.

Would you like more details or have any questions?

Here are some related questions you might find interesting:

1. How do place values affect the value of a digit in a number?
2. What is the process for determining place value in large numbers?
3. How does swapping digits affect the overall value of a number?
4. Can the value of a digit be increased by swapping it to a higher place value?
5. How would you explain place value to someone learning it for the first time?
6. What are some other examples where swapping digits changes their value significantly?
7. How does rounding affect the value of digits in a large number?
8. Can rearranging digits lead to a completely different number with different properties?

Tip: Always pay attention to the place value when working with digits in a number—it's crucial for understanding how much each digit contributes to the overall value.