To compare the given statements, let's first determine the place values of the relevant digits in both numbers:
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In 1,725:
- The digit 1 is in the thousands place, so its value is 1,000.
- The digit 2 is in the hundreds place, so its value is 200.
- The digit 7 is in the tens place, so its value is 70.
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In 5,712:
- The digit 1 is in the thousands place, so its value is 5,000.
- The digit 2 is in the tens place, so its value is 10.
- The digit 7 is in the hundreds place, so its value is 700.
Now, let's analyze each statement:
A. The value of the digit 1 in 1,725 is 10 times greater than the value of the digit 1 in 5,712.
- Value in 1,725: 1,000
- Value in 5,712: 5,000
- This statement is false (1,000 is not 10 times greater than 5,000).
B. The value of the digit 2 in 1,725 is 10 times greater than the value of the digit 2 in 5,712.
- Value in 1,725: 200
- Value in 5,712: 10
- This statement is true (200 is 10 times greater than 20).
C. The value of the digit 7 in 1,725 is 10 times greater than the value of the digit 7 in 5,712.
- Value in 1,725: 70
- Value in 5,712: 700
- This statement is false (70 is not 10 times greater than 700).
D. The value of the digit 2 in 5,712 is 10 times greater than the value of the digit 2 in 1,725.
- Value in 5,712: 10
- Value in 1,725: 200
- This statement is false (10 is not 10 times greater than 200).
The only true statement from the options provided is:
B. The value of the digit 2 in 1,725 is 10 times greater than the value of the digit 2 in 5,712.