### Instruction: What is the value of $25_{10}+36_{10}$ in base 3?### Response: I know that in base 10, the sum is 25 + 36 = 61.
To convert 61 to base 3, I need to divide it by 3 repeatedly and write down the remainders.
61 divided by 3 is 20 with a remainder of 1.
20 divided by 3 is 6 with a remainder of 2.
6 divided by 3 is 2 with a remainder of 0.
2 divided by 3 is 0 with a remainder of 2.
So the base 3 representation of 61 is 2021.
Therefore, the value of $25_{10}+36_{10}$ in base 3 is 2021.