To write 7058 to three significant figures, we need to round the number to the nearest thousand.
1. The student who wrote 7050 made a mistake by rounding down the number. When rounding to the nearest thousand, we look at the digit in the thousands place, which is 0 in this case. Since the digit following 0 is less than 5, we do not round up. Therefore, the correct answer should be rounded down to 7000.
2. The student who wrote 706 made a mistake by rounding to the nearest hundred. When rounding to three significant figures, we look at the digit in the thousands place, which is 7 in this case. Since the digit following 7 is greater than 5, we round up. Therefore, the correct answer should be rounded up to 7100.
3. The correct answer, rounded to three significant figures, is 7000.
To summarize:
- The student who wrote 7050 rounded down incorrectly.
- The student who wrote 706 rounded to the nearest hundred instead of rounding to three significant figures.
- The correct answer is 7000 when rounding to three significant figures.