### Instruction: What is the base-10 integer 340 when expressed in base 7?### Response: To convert from base 10 to base 7, I need to repeatedly divide 340 by 7 and keep track of the remainders.
The first division gives 340 / 7 = 48 with a remainder of 4, so the rightmost digit in base 7 is 4.
The next division gives 48 / 7 = 6 with a remainder of 6, so the second digit from the right in base 7 is 6.
The final division gives 6 / 7 = 0 with a remainder of 6, so the leftmost digit in base 7 is 6.
Therefore, 340 in base 10 is 664 in base 7.