25. Each of the digits 3. 5. 7, and 8 is written on its own card. The four cards are given to a student, and then the student is asked to use the cards to form the largest three-digit number that is greater than 300 and less than 700. In the number formed, what digit will be in the tens place?
Answer: D
The digit in the tens place will be 8.
To form the largest three-digit number that is greater than 300 and less than 700 using the digits 3, 5, 7, and 8, the tens place must be occupied by the highest digit available within that range. In this case, 8 is the digit that can be placed in the tens position while still allowing for the creation of the largest possible number.
A) 3
Choosing 3 for the tens place would result in a significantly lower number than if a higher digit were selected. The largest possible three-digit number with 3 in the tens place would be 375, which is not optimal when compared to other configurations.
B) 5
While placing 5 in the tens place can create the number 578, it is still not the largest configuration possible. The largest number that can be formed within the constraints given is 738, where 8 occupies the tens place, making option B less favorable.
C) 7
Using 7 in the tens place, one could form the number 753, which exceeds the upper limit of 700. Therefore, 7 cannot be used in the tens place if the number must be less than 700, making this option invalid.
D) 8
Placing 8 in the tens position allows the formation of the number 583, which is indeed the largest possible three-digit number under the given constraints. This ensures that the number remains between 300 and 700 while utilizing the highest available digit in the tens place.
Conclusion
The correct answer is definitively 8, as it enables the formation of the largest three-digit number that meets the criteria of being greater than 300 and less than 700. All other options either result in lower numbers or violate the upper limit, confirming that D is the only viable choice.