Final answer:
To divide 143.6 by 21.2 and round the answer to the correct number of significant figures, perform the division and round the final answer to three significant figures: 6.77.
Step-by-step explanation:
To divide 143.6 by 21.2 and round the answer to the correct number of significant figures, we need to determine the least certain value among the two numbers. In this case, 143.6 has four significant figures and 21.2 has three significant figures. Therefore, we limit our final answer to three significant figures.
The division becomes:
143.6 ÷ 21.2 = 6.77264150943
Rounded to three significant figures, the answer is:
6.77