in the number 7,725,which places contain digits where one digit is ten times greater than the other?

7 in the thousands place is ten times greater than 7 in the hundreds place.

Seven in the thousands place is ten times greater than seven in the hundreds

To determine the places in the number 7,725 where one digit is ten times greater than the other, we need to compare each digit with the digit to its right.

Starting from the left, let's break down the number 7,725 into its individual digits:
- The digit in the thousands place is 7.
- The digit in the hundreds place is 7.
- The digit in the tens place is 2.
- The digit in the ones place is 5.

Now, let's compare each digit with the next digit to its right:
- The thousands place digit (7) is not compared because there are no digits to its right.
- Comparing the hundreds place digit (7) with the tens place digit (2), we observe that 7 is not ten times greater than 2. (7 ≠ 2 x 10)
- Comparing the tens place digit (2) with the ones place digit (5), we can see that 2 is not ten times greater than 5. (2 ≠ 5 x 10)
- The ones place digit (5) is not compared since it is the rightmost digit.

Based on our comparison, none of the digits satisfy the condition of being ten times greater than the digit to its right. Therefore, there are no places in the number 7,725 where one digit is ten times greater than the other.