### Instruction: Convert $115_{10}$ to base 11. Represent $10$ as $A$, if necessary.### Response: To convert a number from base 10 to another base, I can use repeated division by the base and write the remainders from bottom to top.
So, I start by dividing 115 by 11 and get a quotient of 10 and a remainder of 5.
I write 5 as the rightmost digit of the base 11 representation.
Then I divide 10 by 11 and get a quotient of 0 and a remainder of 10.
I write 10 as the leftmost digit of the base 11 representation, using A to represent 10.
So, the base 11 representation of 115 is A5.