Final answer:
To answer the student's question, divide 0.0402 by 0.71 to get approximately 0.0566197, and then round the result to two significant figures to get 0.057.
Step-by-step explanation:
The student is asking how to express the quotient of 0.0402 divided by 0.71 with two significant figures. To do this, first calculate the division using a calculator or long division. Then identify the number of significant figures in the result based on the number of significant figures in the original numbers. Both numbers provided have two significant figures, so the final answer should also be reported with two significant figures.
Let's perform the calculation: 0.0402 / 0.71 = approximately 0.0566197. When rounded to two significant figures, the answer is 0.057.
Note that when rounding, we look at the third significant figure (which is 6 in this case) to decide whether to round up or keep the second significant figure as is. Since it's greater than 5, we round up the second digit from 5 to 6.