Final answer:
The value of the digit 9 in 102,901 is 100 times greater than the value of the digit 9 in 878,679, due to its placement in the hundreds place versus the ones place.
Step-by-step explanation:
In the number 102,901, the digit 9 is in the hundreds place, which means it has a value of 900.
In the number 878,679, the digit 9 is in the ones place, which means it has a value of 9.
To find out how many times greater the value of 9 in the first number is compared to the second number, we divide 900 (the larger value) by 9 (the smaller value).
This gives us:
900 ÷ 9 = 100
So, the value of the digit 9 in 102,901 is 100 times greater than the value of the digit 9 in 878,679.