This question asks to round to the nearest tenth. To find x, I did 11/root 2 =7.857
According to me, the rounding should be 7.9 since the hundredth digit is 5 but that is not the answer.
Please help me confirm if I am thinking about this incorrectly.
Okay i get how you got 7.857. You surmised that \sqrt{2} \approx 1.4 and thus \frac{11}{\sqrt{2}} \approx 7.857.
Key Takeaway: Don’t approximate in intermediate steps because that affects the accuracy of the final answer, as you saw here. Make sure to leave the approximation for the very final part.
