Final answer:
The value of the 5 in 25,904, which is in the thousand's place, is 100 times greater than the value of the 5 in 172,500, which is situated in the ten's place.
Step-by-step explanation:
The student has asked how many times greater is the value of the 5 in 25,904 than the value of the 5 in 172,500. To answer this, we need to examine the place value of each 5 in the given numbers.
In 25,904, the 5 is in the thousand's place, which means it has a value of 5,000. In 172,500, the 5 is in the ten's place, meaning it has a value of 50. To find out how many times greater the first 5 is compared to the second, we divide the larger value by the smaller value: 5,000 ÷ 50 = 100.
Therefore, the value of the 5 in 25,904 is 100 times greater than the value of the 5 in 172,500.