Final answer:
The digit 4 in the number 96,245 has a value of 40. We are looking for a number where the value of 4 is 100 times this, meaning 4,000. The number 681,452 has the digit 4 in the correct place value to satisfy this condition.
Step-by-step explanation:
Andrew wrote the number 96,245 on the board. In this number, the digit 4 is in the tens place, which means it has a value of 4 x 10, or 40. If we are looking for a number where the value of 4 is exactly 100 times greater, we need to find a number where 4 is in the thousands place, as 4 x 1,000 is 4,000, which is 100 times 40. Option A (681,452) has the 4 in the thousands place, making the value of that 4 to be 4,000.
The correct answer is 681,452, where the digit 4 represents 4,000, which is 100 times the value of 4 in the number 96,245.