Question

To divide 343 by 9, would you use partial quotients or the division algorithm? Explain the reasoning.

Answer 1

To divide 343 by 9, you will use the division algorithm.

The reason is because 343 is not divisible evenly by nine.

You know this because the sum of the digits, 3+4+3 or 10, is not evenly divisible by 9.

Therefore, 343 is not evenly divisible by 9.