Final answer:
The rounding digit in 235,946 when rounding to the nearest ten-thousands place is 3, because that's the digit in the ten-thousands place that will change after rounding. The thousands place digit is 5, meeting the criteria for rounding up.
Step-by-step explanation:
The student asked: What is the rounding digit in 235,946 if you round it to the nearest ten-thousands? The options given are A. 2 B. 3 C. 5 D. 6. When rounding to the nearest ten-thousands place, we look at the thousands place to decide whether to round up or down. If it's 5 or more, we round up. If it's less than 5, we round down. In 235,946, the thousands place is 5. Since 5 meets the criterion for rounding up, we round the number up to 240,000. Therefore, the ten-thousands place, which is the digit we will be changing, is 3 (because after rounding, this position increases to 4). So the answer is B. 3.